how are student loan repayments handled in the income-based repayment plan?

The correct answer is option (d) high on self-monitoring. Individuals scoring high on self-monitoring are more aware of social cues and adapt their behavior to fit various situations.

They are skilled at modifying their behavior to meet the expectations of others, making them appear more flexible in different contexts. Self-monitoring is the process of observing and evaluating one's own behavior, thoughts, and emotions. It involves paying close attention to one's actions, thoughts, and feelings in order to gain insight into one's own behaviors and motivations. Self-monitoring is often used as a tool for personal development and self-improvement.

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Marigold Corp. has a profit margin of 12.16% and a gross profit rate of 58.37%. These ratios indicate the company is generating a healthy profit from its operations and has efficient cost management practices.

To calculate the profit margin, we need to divide the net income by the net sales. In this case, the net income is $31,500 and the net sales are $259,000.

Therefore, the profit margin is 12.16% (31,500/259,000).

To calculate the gross profit rate, we need to divide the gross profit by the net sales. The gross profit is the difference between net sales and the cost of goods sold. In this case, the net sales are $259,000 and the cost of goods sold is $107,800.

Therefore, the gross profit is $151,200 ($259,000 - $107,800). The gross profit rate is 58.37% ($151,200/$259,000).

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Micaela should establish standards before she begins to monitor performance.

This is an important step in the control process as it sets a benchmark for what is expected and helps to identify any deviations from the desired outcome. Once standards are established, Micaela can then monitor the performance of her insurance agency and compare it to these standards.

This allows her to identify any areas that need improvement and make necessary adjustments to ensure that her agency is operating efficiently and effectively. Overall, establishing standards is a crucial first step in the control process that helps to ensure the success of Micaela's insurance agency.

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The gains to trade is $-18.031.

To determine the gains to trade, we need to compare the domestic price (p_d) and the world price. If the world price is higher than the domestic price, there will be gains to trade.

First, we need to find the quantity demanded and supplied at the domestic equilibrium price.

At equilibrium:
p_d = p_s
50 - q_s = 52q_s

Solving for q_s:
53q_s = 50
q_s = 0.943

So, at the domestic equilibrium price, the quantity demanded and supplied is approximately 0.943 units.

Next, we need to compare the domestic price to the world price.

If the world price is $29, then:
- If the domestic price is higher than $29, there will be no gains to trade.
- If the domestic price is lower than $29, there will be gains to trade.

To find the domestic price when the quantity supplied is 0.943, we can use the supply curve:
p_s = 52q_s
p_s = 52(0.943)
p_s = 48.936

Since the domestic price is lower than the world price, there are gains to trade.

The gains to trade can be found by calculating the difference between the world price and the domestic price at the new quantity exchanged.

At a world price of $29, the quantity exchanged will be 0.943 units (since this is the domestic equilibrium quantity).

At a price of $29, the domestic quantity demanded will be:
p_d = 50 - q_s
p_d = 50 - 0.943
p_d = 49.057

The gains to trade can be calculated as:
Gains = (World price - Domestic price) x Quantity exchanged
Gains = ($29 - $49.057) x 0.943
Gains = $-18.031

The negative value indicates that the domestic market is worse off as a result of trade, while the foreign market is better off.

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When a firm optimizes, it chooses levels of inputs that will minimize cost while producing a given level of output, according to the isocost and isoquant framework.

The production function describes the relationship between inputs and output, while the isocost and isoquant curves show the combinations of inputs and their associated costs that will produce a given level of output.

The goal of optimization is to choose the input combination that will produce the desired output level at the lowest possible cost, which is achieved by selecting the point where the isocost and isoquant curves intersect.

Maximizing output while minimizing cost is a key objective of firms in order to maximize profits and remain competitive in the market. This requires careful analysis of the production process and input costs, as well as a thorough understanding of market demand and pricing dynamics.

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Direct labor costs are the total expenses incurred by the business for paying employees' wages and other perks in exchange for work that is directly relevant to the production of the business's goods or the rendering of its services.

Any employee directly involved in a product's manufacturing is referred to as direct labor. If your company makes bicycles, the workers who make the bicycles are regarded as direct labor. Direct labor includes people who assemble things, weld things, paint things, and operate machines.

While work performed on specific commodities or services is considered direct labor, employee activity that cannot be linked to or charged to the provision of goods or services is considered indirect labor.

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The Florida Building Energy-Efficiency Rating Act requires Florida licensees to disclose the energy efficiency rating of a residential property to potential buyers or lessees. Therefore, none of the given options are correct.

The energy efficiency rating must be determined by an authorized provider, and the disclosure must be made in writing before a contract for sale or lease is executed. The disclosure must also include information on the potential energy cost savings associated with the property's rating.This Act aims to increase energy efficiency in buildings and reduce energy consumption by providing consumers with information about a property's energy performance.

By providing this information, buyers and lessees can make more informed decisions and potentially save money on energy costs in the long run. Florida licensees are therefore required to comply with this Act when selling or leasing residential properties to ensure that buyers and lessees have access to this important information.

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Comparing the two options, we can see that converting the plain yogurt into individual-sized portions of fruited yogurt is more profitable, with a profit of $3,638.40 compared to $3,467.20 for selling the gallon-sized plain yogurt. Therefore, Werner should convert the plain yogurt into individual-sized portions of fruited yogurt to increase its profits.

To determine whether Werner should continue to sell only the gallon-sized plain yogurt or convert the plain yogurt into individual-sized portions of fruited yogurt, we need to compare the profitability of each option.

Option 1: Sell gallon-sized plain yogurt (sell as is)

Cost per gallon: $850/540 gallons = $1.57 per gallon

Selling price per gallon: $8.00 per gallon

Profit per gallon: $8.00 - $1.57 = $6.43

Profit for the entire batch: $6.43 x 540 gallons = $3,467.20

Option 2: Convert plain yogurt into individual-sized portions of fruited yogurt (process further)

Cost per portion: $850/11,520 portions = $0.074 per portion

Selling price per portion: $0.56 per portion

Cost of packaging per portion: $0.07 per portion

Cost of fruit per portion: $0.10 per portion

Profit per portion: $0.56 - $0.074 - $0.07 - $0.10 = $0.316 per portion

Profit for the entire batch: $0.316 x 11,520 portions = $3,638.40

Therefore, Werner should convert the plain yogurt into individual-sized portions of fruited yogurt to increase its profits.

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The form of financial capital that involves giving up ownership in a company is shares of stock. The correct answer is (D)

When individuals or entities purchase shares of stock in a company, they become part owners of the company and have a claim on its assets and earnings. This ownership also gives them the right to vote on important company decisions and elect the board of directors.

On the other hand, bank loans and corporate bonds do not involve giving up ownership in a company. Instead, they are forms of debt financing where the borrower agrees to repay the loan or bond with interest over time. Perpetuity bonds are a type of bond that pays interest indefinitely, but they also do not involve giving up ownership in a company.

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The binary value of AL after the following instructions have been executed is 00001101. So, the new binary value in AL is 00001101, which is equivalent to the decimal value 13.

Here's a step-by-step explanation of the instructions and the terms you mentioned:
Step 1. "mov al, 01101011b": This instruction means to move the binary value 01101011 into the AL register. So, initially, AL = 01101011.
Step 2. "shr al, 2": This instruction means to shift the binary value in AL to the right by 2 positions. In other words, we're dividing the value in AL by 2^2 (or 4).
Let's perform the shift operation:
Initial value of AL:   01101011
After shifting right:  00011010
Now, the binary value of AL after the given instructions have been executed is 00011010.

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Based on the information provided, Bodine Corp. has a contract with the aquatic center for delivering cleaning products. For the first 500 gallons, the cost is $16 per gallon, and for any additional gallons beyond that, the price drops to $12 per gallon.

Since Bodine Corp. estimates that the center will use 800 gallons of chemicals, we can calculate the total transaction price for the contract as follows:

First 500 gallons: 500 gallons x $16/gallon = $8,000
Additional 300 gallons: 300 gallons x $12/gallon = $3,600

Total cost for 800 gallons: $8,000 + $3,600 = $11,600

To find the transaction price per gallon, we can divide the total cost by the total number of gallons:

$11,600 / 800 gallons = $14.50 per gallon

So, the transaction price per gallon for this contract should be $14.50.

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Mabel's embarrassment while shopping for adult diapers at a retail store can be attributed to both the product itself and the situation she finds herself in.

The statement is True. The product, adult diapers, is associated with a certain stigma in society that can make people feel embarrassed or uncomfortable when purchasing them. Furthermore, the situation in which Mabel finds herself can also contribute to her negative emotions. For example, if the store is busy or if there are people around who she knows, Mabel may feel more self-conscious and embarrassed about buying adult diapers.

Therefore, the combination of the product and the situation can lead to Mabel feeling embarrassed while shopping for adult diapers at a retail store. It is important to note that there is no reason for Mabel's embarrassment to feel ashamed or embarrassed about purchasing a product that meets her needs, but societal attitudes and norms can make it difficult to avoid such negative emotions.

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a. The best response function will be [tex]$$P_j = \frac{1 + P_i}{2}$$[/tex].

b. The Nash Equilibrium prices are  [tex]$P_i = P_j = \frac{2}{3}$[/tex].

a.

To find the best response functions for each firm, we need to determine each firm's optimal price given the price of its competitor. We can start by finding the marginal revenue (MR) for each firm, which is the derivative of its total revenue (TR) with respect to its own price[tex]($P_i$)[/tex]:

[tex]$$MR_i = \frac{dTR_i}{dP_i} = 1 - 2P_i + P_j$$[/tex]

Setting [tex]$MR_i$[/tex] equal to zero and solving for [tex]$P_i$[/tex], we get:

[tex]$$P_i = \frac{1 + P_j}{2}$$[/tex]

This is the best response function for firm [tex]$i$[/tex]. We can find the best response function for firm [tex]$j$[/tex] in a similar way, giving us:

[tex]$$P_j = \frac{1 + P_i}{2}$$[/tex]

b.

To find the Nash Equilibrium prices, we need to find the prices at which neither firm has an incentive to deviate from its best response given the price of its competitor.

This occurs when each firm's best response is also its optimal price given its competitor's price. Setting

[tex]$P_i = (1 - P_i + P_j)$[/tex]  and

[tex]$P_j = (1 - P_j + P_i)$[/tex],

we can solve for the equilibrium prices:

[tex]$$P_i = \frac{2}{3}$$[/tex]

[tex]$$P_j = \frac{2}{3}$$[/tex]

Therefore, the Nash Equilibrium prices are[tex]$P_i = P_j = \frac{2}{3}$[/tex]. This means that each firm charges a price of [tex]$\frac{2}{3}$[/tex] and neither firm has an incentive to deviate from this price given the price of its competitor.

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The given statement is True. It is important for a company to clearly identify its target audience and their behaviors before selecting social media platforms.

This will help the company ensure that the platforms they choose align with their target audience's preferences and online behavior, making their marketing efforts more effective. Without understanding their target audience, a company may select social media platforms that are not relevant or effective, leading to wasted time, resources, and potential loss of customers.

Analyze the traits of those who are more likely to make a purchase and determine their preferences, demographics, and behaviours to target the correct customers. After you have a clear understanding of your target demographic, concentrate on other demographics to broaden your possible clientele. You'll be able to reach a larger audience and improve your chances of closing more transactions as a result.

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If increased investment causes an increase in real output beyond the level of full employment, the result is likely to be demand-pull inflation. So, the correct answer is B. Demand-pull inflation. When increased investment leads to an increase in real output beyond the level of full employment, it means that there is a higher demand for goods and services than the economy can produce at its maximum capacity. This is because when there is an increase in investment, there is an increase in the production of goods and services, leading to an increase in demand. This leads to an increase in prices due to the imbalance between supply and demand, which is known as demand-pull inflation.   In this scenario, firms are likely to increase their prices to maximize profits, leading to inflationary pressures. This can be especially true in sectors with limited capacity, where it is difficult to increase output beyond a certain level. Furthermore, increased investment can lead to an increase in employment as firms expand their production capacities.

However, if the increase in output is beyond the level of full employment, firms may struggle to find enough workers to meet the increased demand for goods and services. This can lead to a further increase in wages, adding to inflationary pressures. Overall, increased investment can have positive effects on output and employment, but it can also lead to inflationary pressures if the increase in output is beyond the level of full employment. Policymakers must ensure that there is a balance between investment and output to avoid any negative consequences.

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A 403(b) plan is a retirement savings plan that is typically offered to employees of non-profit organizations, educational institutions, and certain other tax-exempt organizations.

It is similar to a 401(k) plan, but with some differences in terms of contribution limits and eligibility requirements.

The best description of the cost basis for a 403(b) plan is D: cost basis equal to all contributions plus earnings. This means that the cost basis for any investments held within the 403(b) plan is equal to the total amount of contributions made to the plan, as well as any earnings or gains on those contributions.

This can be important for tax purposes, as it affects the amount of taxes that may be owed when the funds are withdrawn from the plan.

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The higher production costs can cause firms to cut back on hiring or even lay off employees, leading to a rise in the unemployment rate. Therefore, the correct answer is option c. rises.

When the price of oil rises unexpectedly, the equilibrium price level of goods and services that use oil as an input will increase in the short run. This is because the cost of production increases due to the higher cost of oil, and firms will pass on this cost to consumers by increasing prices. This shift in the supply curve results in a higher equilibrium price level.

However, in the short run, the unemployment rate may either rise or fall. If the increased cost of production leads to a decrease in demand for goods and services, then firms may cut back on production and lay off workers. This would result in a higher unemployment rate. On the other hand, if firms can pass on the increased cost to consumers without affecting demand, then they may continue to produce the same level of output, and the unemployment rate may not be affected.

Overall, the impact of an unexpected rise in oil prices on the economy depends on a variety of factors such as the elasticity of demand for goods and services, the ability of firms to pass on the increased cost, and the overall state of the economy. In the long run, however, firms will adjust their production processes and consumers will adapt to the higher prices, and the equilibrium price level will settle at a new level.

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True, an output file is a file that data is written to. Data is exported to a text file during the Text file output stage. This process may be used to create files that are a certain length as well as comma separated values (CSV) files that can be read by spreadsheet programs.

The majority of save commands provide output that details the system's stored data. Depending on the command you choose, you can send this output to a user space, a database file, a stream file, or a printer (OUTPUT(*PRINT)). Save commands don't generate output by default.

In most cases, opening an output file opens it on the hard drive and enables the program to write data to it. The program may read data from an input file by opening the file.

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Response cost requires an individual to engage in an effortful behavior for an extended period of time contingent on the occurrence of the problem behavior.

This is a type of punishment that involves the removal of a specific amount of reinforcers or privileges when a problematic behavior is displayed. The individual is then required to engage in an effortful behavior, such as completing a task or making a repair, in order to earn back the lost reinforcers or privileges.

Desirable behavior while ignoring or minimizing reinforcement for the problem behavior, ultimately decreasing the occurrence of the problem behavior over time.

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The advantages of conducting international trade using electronic document transmissions, such as EDI, Bolero, and TradeCard, include Increased efficiency, Cost savings, Enhanced security, Improved accuracy, Real-time updates and Environmental benefits.

1. Increased efficiency: Electronic transmissions streamline and automate the exchange of documents, leading to faster processing times and reduced human errors.
2. Cost savings: Electronic document transmissions eliminate the need for paper, printing, and postage costs, leading to significant savings for businesses.
3. Enhanced security: Electronic transmissions use encryption and secure channels to protect sensitive information, reducing the risk of data breaches and unauthorized access.
4. Improved accuracy: Electronic transmissions reduce the likelihood of manual data entry errors, as information is directly exchanged between computer systems.
5. Real-time updates: Electronic transmissions allow for real-time updates and notifications, enabling businesses to make timely decisions and respond quickly to changes in the market.
6. Environmental benefits: By eliminating the need for paper-based documents, electronic transmissions contribute to a reduced environmental impact.

In summary, the advantages of conducting international trade using electronic document transmissions are increased efficiency, cost savings, enhanced security, improved accuracy, real-time updates, and environmental benefits.

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The 4-month moving average for month 5 is 83.75 when the product demand is 100 units in month 1.

To calculate the 4-month moving average for month 5 using the product demand data provided, you will follow these steps:

1. First, add the product demand for each of the first four months:

100 (month 1) + 75 (month 2) + 110 (month 3) + 50 (month 4) = 335 units

2. Divide the total product demand by the number of months (4) to find the moving average:

335 / 4 = 83.75

So, the 4-month moving average for month 5 is 83.75.

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We cannot determine the equilibrium level of real GDP without the value of aggregate expenditure when real GDP is $4,500.

We know that when real GDP is equal to $4,500, aggregate expenditure is equal to a certain amount. However, the specific value of aggregate expenditure is not provided. Without this value, it is impossible to calculate the equilibrium level of real GDP.In general, the equilibrium level of real GDP occurs when aggregate expenditure is equal to real GDP. This is because when spending by households, businesses, and the government equals the total output of the economy, there is no excess supply or demand for goods and services.

As a result, prices and quantities remain stable.To determine the equilibrium level of real GDP, we need to know the specific value of aggregate expenditure when real GDP is $4,500. Without this information, we cannot calculate the equilibrium level of real GDP.

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When supply and demand for money are equal, demand and supply must be equal for non-monetary goods these variables is not a variable in the equation for the asset market equilibrium condition. The correct answer is. Real income.

Imagine a situation where the real interest rate is set at 0.06 percent and the nominal money supply is increasing steadily.

When deciding how much money to maintain in their possession, people have a choice in how they hold their resources. What proportion of wealth should be preserved in cash and what proportion in other assets. Depending on the proportional advantages and disadvantages of holding money in comparison to other assets, the answer to this question will change depending on the degree of wealth. The "demand for" refers to the relationship between people's aspirations for wealth and the variables that determine how much they actually possess.

Complete question:

Which of these variables is not a variable in the equation for the asset market equilibrium condition?

a. Real income

b. Real interest rate

c. Saving Expected

d. rate of inflation

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The product that would have the quantity demanded decrease the most  to a price increase is organic whole chicken. Option D is correct.

When the price of organic whole chicken increases, consumers are more likely to switch to alternatives, resulting in a greater decrease in the quantity demanded for organic whole chicken. Therefore, it is the product that would have the most quantity demanded decrease to a price increase.

Based on the law of demand, as the price of a product increases, the quantity demanded of that product tends to decrease. The degree to which the quantity demanded changes in response to a change in price is known as the price elasticity of demand. The more sensitive consumers are to price changes, the more elastic the product is considered.

In this case, we can assume that all the non-organic chicken thighs, whole chicken, and milk are relatively similar in terms of their price elasticity. However, organic whole chicken is likely to have the most elastic demand. This is because consumers who prioritize organic and natural products are generally more sensitive to price changes and may be more likely to switch to a cheaper, non-organic alternative if the price of organic whole chicken increases.

Therefore, if the price of organic whole chicken increases, the quantity demanded is likely to decrease the most compared to the other options given. Option D is correct.

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The product that would have the quantity demanded decrease the most  to a price increase is organic whole chicken. Option D is correct.

When the price of organic whole chicken increases, consumers are more likely to switch to alternatives, resulting in a greater decrease in the quantity demanded for organic whole chicken. Therefore, it is the product that would have the most quantity demanded decrease to a price increase.

Based on the law of demand, as the price of a product increases, the quantity demanded of that product tends to decrease. The degree to which the quantity demanded changes in response to a change in price is known as the price elasticity of demand. The more sensitive consumers are to price changes, the more elastic the product is considered.

In this case, we can assume that all the non-organic chicken thighs, whole chicken, and milk are relatively similar in terms of their price elasticity. However, organic whole chicken is likely to have the most elastic demand. This is because consumers who prioritize organic and natural products are generally more sensitive to price changes and may be more likely to switch to a cheaper, non-organic alternative if the price of organic whole chicken increases.

Therefore, if the price of organic whole chicken increases, the quantity demanded is likely to decrease the most compared to the other options given. Option D is correct.

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the profitability of the international business depends on the exchange rate fluctuations and the cost of raw materials in different currencies. The company should monitor these factors closely to make informed decisions and maximize profitability.

In the first scenario, the company agreed to exchange 1.25 million MYR using the forward rate on January 1st, so when April 1st arrives, they will use the spot rate to convert their sales revenue in MYR to U.S. dollars. To determine their profitability, we need to compare the forward rate to the spot rate. If the spot rate is higher than the forward rate, the company will make a profit because they locked in a lower exchange rate. However, if the spot rate is lower than the forward rate, the company will incur a loss because they agreed to exchange the currency at a higher rate.
In the second scenario, the company could spend the foreign currency instead of exchanging it. If the cost of raw materials is lower in MYR than in U.S. dollars, the company could benefit from spending the foreign currency. However, if the cost of raw materials is higher in MYR than in U.S. dollars, the company would incur a loss from spending the foreign currency.

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The price elasticity of demand between points C and D is 3 (in absolute value).

What is price elasticity?

Price elasticity is a measure of the responsiveness of the quantity of a product or service demanded to a change in its price. It is calculated by dividing the percentage change in quantity demanded by the percentage change in price.

Using the midpoint method formula:

Price elasticity of demand = (ΔQ/((Q1+Q2)/2)) / (ΔP/((P1+P2)/2))

where:

ΔQ = change in quantity demanded = 7,000 - 8,000 = -1,000

Q1 = initial quantity demanded = 8,000

Q2 = final quantity demanded = 7,000

ΔP = change in price = $23 - $22 = $1

P1 = initial price = $22

P2 = final price = $23

Plugging in the values:

Price elasticity of demand = ((-1,000)/((8,000+7,000)/2)) / (($1)/(($22+$23)/2))

= (-1,000/7,500) / (1/22.5)

= (-0.1333) / (0.0444)

= 3

Therefore, the price elasticity of demand between points C and D is 3 (in absolute value).

The resulting number is then classified as either elastic (greater than 1), inelastic (less than 1), or unitary (equal to 1). If demand is elastic, a small change in price will result in a relatively large change in quantity demanded, while if demand is inelastic, a change in price will result in a relatively small change in quantity demanded. Price elasticity is an important concept in economics as it helps businesses and policymakers understand the effects of price changes on consumer behavior and market outcomes.

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The total manufacturing costs for Sheridan Company are 256,500 and the cost of goods manufactured is $239,400.

To compute the total manufacturing costs for Sheridan Company, we need to add the direct labor, direct materials used, and total manufacturing overhead.

Total manufacturing costs = Direct labor + Direct materials used + Total manufacturing overhead
Total manufacturing costs = $86,640 + $95,760 + $74,100
Total manufacturing costs = $256,500

To compute the costs of goods manufactured, we need to subtract the beginning work in process inventory from the total manufacturing costs and add the ending work in process inventory.

Costs of goods manufactured = Total manufacturing costs - Beginning work in process inventory + Ending work in process inventory
Costs of goods manufactured = $256,500 - $51,300 + $34,200
Costs of goods manufactured = $239,400

Therefore, the total manufacturing costs for Sheridan Company is $256,500 and the costs of goods manufactured is $239,400.

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From  the graph shown, the shift from D to D1 is called a decrease in demand. Option A

The shift from D to D1 in a demand graph is called a shift in the demand curve.

This means that there has been a change in the quantity demanded at every price point.

The shift can occur for several reasons, such as a change in consumer preferences, changes in income or wealth, changes in the availability of substitute or complementary goods, changes in the number of consumers, or changes in expectations about the future.

If the shift is to the right, it indicates an increase in demand, while a shift to the left indicates a decrease in demand.

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Therefore, the income increase from replacing the old machine with Machine A would be:$52,000 + $17,000 = $69,000

(a) Income increase or decrease from replacing the old machine with Machine A:

Variable manufacturing costs per year for the old machine = $36,000 Variable manufacturing costs per year for Machine A = $19,000

Therefore, the annual cost savings from replacing the old machine with Machine A would be:

$36,000 - $19,000 = $17,000

In addition to the cost savings, there would be no loss on disposal of the old machine since its book value is less than its selling price. Therefore, the income increase from replacing the old machine with Machine A would be:

$52,000 + $17,000 = $69,000

(b) Income increase or decrease from replacing the old machine with Machine B:

Variable manufacturing costs per year for Machine B = $15,000

Therefore, the annual cost savings from replacing the old machine with Machine B would be:

$36,000 - $15,000 = $21,000

In addition to the cost savings, there would be a gain on disposal of the old machine since its selling price is greater than its book value. The gain on disposal would be:

$52,000 - $45,000 = $7,000

Therefore, the income increase from replacing the old machine with Machine B would be:

$7,000 + $21,000 + $125,000 = $153,000

(c) To determine whether Lopez should keep or replace its old machine, we need to compare the income generated by the old machine with the income generated by the replacement machines. The income generated by the old machine is:

Revenue - Variable manufacturing costs per year for the old machine = 0 - $36,000 = -$36,000

Therefore, the old machine is generating a loss of $36,000 per year. Since both replacement machines would generate a positive income, it would be more beneficial for Lopez to replace the old machine.

(d) To determine which new machine Lopez should purchase, we need to compare the income increase generated by each machine. From part (a), we know that the income increase from replacing the old machine with Machine A would be $69,000. From part (b), we know that the income increase from replacing the old machine with Machine B would be $153,000. Therefore, Lopez should choose Machine B, since it would generate a higher income increase.

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To solve this problem, we can use the Poisson distribution formula, which is given by : [tex]P(X = k) = (e^(-λ) * λ^k) / k![/tex] , probability that three customers will arrive in the next two hours is found greater than 0.025. Thus correct answer is option D

Where X is the random variable representing the number of customer arrivals, λ is the average number of customer arrivals per unit time (in this case, per hour), and k is the number of customer arrivals we are interested in.

We want to find the probability that three customers will arrive in the next two hours. Since we are given the average number of customer arrivals per hour, we can find the average number of customer arrivals in two hours by multiplying λ by 2: λ = 4 customers/hour

Average number of customer arrivals in 2 hours = λ * 2 = 8 customers Now we can use the Poisson distribution formula to find the probability of exactly 3 customer arrivals in the next two hours:

[tex]P(X = 3) = (e^(-8) * 8^3) / 3! P(X = 3) = (0.00033546 * 512) / 6 P(X = 3) = 0.027[/tex]

Therefore, the probability that three customers will arrive in the next two hours is 0.027 or 2.7%. Since this probability is greater than 0.025, we can eliminate options A, B, and C. Therefore, the correct answer is D) greater than 0.025.

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