A florist designs two high-profit arrangements— a funeral wreath and a bridal centerpiece. The company’s employees can complete up to 18 arrangements each day using up to 24 total person-hours of labor. It takes 4 person-hours to complete 1 funeral wreath, and 1 person-hour to complete 1 bridal centerpiece. How many of each type of arrangements should the florist produce daily for maximum profit, if the profit on a funeral wreath is $75and the profit on a bridal centerpiece is $40?
Answers
Solution :
Given
P = 75 x + 40 y
The constraints are
[tex]$x+y \leq 18$[/tex] .........(i) and
[tex]$4x+y \leq 24$[/tex] .......(ii)
Solving (i) and (ii), we get
x = 2 and y = 16
Now
[tex]$x+y \leq 18$[/tex] (total arrangement less than equal to 18)
[tex]$4x+y \leq 24$[/tex] (total person hours less than equal to 24)
Maximum profit = 75 (2) + 40(16)
= 790
From the graph, the point of intersection and points that is plotted in between numbers between the 10 units on x-axis and y-axis are used in the graph.
So,
[tex]$x+y \leq 18$[/tex] became [tex]$x+y \geq 18$[/tex]
[tex]$4x+y \leq 24$[/tex] became [tex]$4x+y \geq 24$[/tex]
[tex]$x \geq 0$[/tex] became [tex]$x \leq 0$[/tex]
[tex]$y \geq 0$[/tex] became [tex]$y \leq 0$[/tex]
So now the profit at point (0, 18) = 75(0)+40(18) = 720
Profit at point (6,0) = 75(6)+40(0) = 450
Profit at intersection point (2,16) = 75(2)+40(16)
= 150 + 640
= 790
Maximum profit = 790
So maximum profit is attained when 2 wreath are built and sold and 18 center pieces are built and sold.
Related Questions
What decision did a London Court Reach In this case?
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Answer:
A.
Explanation:
I did B from the person above and got it wrong and it said that A was the answer :)
Answer:
A. The writing of The Da Vinci Code did not violate copyright law.
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Right on ED2021, goodluck!
Which term is defined as a loan given to students to help pay for education-related expenses?
financial aid
scholarship
student loan
work-study
Answers
C. Student Loan
A scholarship is a discount, work study is a job that helps pay for your tuition, and financial aid is something that helps pay for your tuition. So student loan is really the only one that makes sense.
A student loan is defined as a loan given to students to help pay for education-related expenses. Thus, option C is the correct option.
What is a student loan?A student loan is a specific kind of loan intended to assist students in covering the costs of post-secondary education and related expenses, including tuition, books, and living costs. In comparison to other loan kinds, it could have a much cheaper interest rate and a delayed repayment plan while the borrower is still enrolled in school.
In many nations, there are significant differences in the stringent rules governing bankruptcy and renegotiation. This article identifies the variations in the student loan systems of different developed nations. The majority of American college students are eligible for federal student loans. Regardless of their own or their parents' salaries, students can borrow the same sum of money at the same rate.
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Which government tax incentive retirement account allows a person to contribute after-tax earnings?
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Answer:
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I hope this helped!
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Answer:
the additional benefit from the dessert with the additional cost of the dessert.
Explanation:
According to economics, everyone should act by comparing the marginal benefits obtained by purchasing a good or service vs the marginal cost of obtaining this good or service.
In this case, the customer places a certain value on the utility received from consuming dessert, and if that value is equal or higher to the cost of the dessert, then the consumer will order and eat it. If the perceived value of the benefits received form consuming the dessert are lower than the cost of the dessert, then the consumer will not order it.
What is the price elasticity of supply when the price rises from $2 to $4
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But the formula is
PES = %change in quantity supplied / % change in price
Why are parents buying more puzzles than
ever before?
A)Schools and daycares have forbidden kids
from playing with puzzles.
B)Their children are at home with nothing to
do because of the pandemic.
C)Normal board games are out of stock.
D)WiFi systems are being overtaxed with
demand.
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Answer:
B
Explanation:
children are more bored than ever so parents buy them puzzles so they stay busing doing something instead of saying they are bored to their parents every 3 seconds.
list three ways you can find jobs in the hidden job market
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Answer:
get active on social media use flex jobs and go to conferences
Answer:
networking, direct contact, and research.
Explanation:
edge 2021 ;)
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Answers
A variable lower rate structure and early payments during the loan term are two benefits of adjustable-rate mortgages.
What is mortgage?
A mortgage is an arrangement that grants the right to seize property between a borrower and a lender. Interest is added to any borrowed money that is not repaid by the borrower.
There are various types of mortgage are adjustable-rate mortgages, government-insured mortgages, conventional mortgages, fixed-rate mortgages and jumbo mortgages.
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Hence, the significance of the mortgage is aforementioned.
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3.
Kriti provided the following information.
$
13 400 debit
120 credit
21 600
At 1 January 2014
Trade receivables balances
Inventory
For the year ended
31 December 2014
Cash sales
Credit sales
Bad debts written off
Receipts from credit customers
Discount allowed to credit customers
Contra with supplier's account
Cheque refund to a credit customer
44 400
165 600
2 800
155 010
4 560
1 300
90
At 1 January 2015 Trade receivables balances
7 debit
200 credit
28 800
Inventory
Mark up on goods sold 50%.
REQUIRED
(a) Calculate Kriti's purchases for the year.
***
Answers
Answer:
2,000,000
Explanation:
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It can increase interest rates.
It can decrease available credit.
It can increase the money supply.
It can decrease inflation.
Answers
Answer: It can decrease inflation
Explanation:
A slow growth rate can result from the contractionary policy of a positive effect which can lead to a decrease in inflation. Thus option A is correct.
What is the contractionary policy?Contractionary policy forms a money measure that refers to the decrease of the govt spending and specially on the deficit expenses and the reduction in the rate of the monetary expansion by the central bank.
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Find out more information about the contractionary policy.
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HELP ON A TEST Which is the least likely use for a smartphone app in our retail food chain?
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Answer:
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Explanation:
Say it outloud and listen to yourself.
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Answer:
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Explanation:
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Answer:
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Answer:
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Answer:
1. manufacturer
4. retailer
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Answer:
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I took a quiz with the same question and I got it correct, so you can rely on my answer.
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ong Michael Jordan, Wilt Chamberlain, Bill Russell
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Answer:
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Because people dont like wierd ads and sketchy things
Answer:
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Answer:
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Although she hates the work, Jessica has spent most weekends and the last three summers as a shortorder cook; she has an associate's degree in paralegal studies; she loves to ride and spends every spare minute helping her uncle with his three horses. Now that she's planning to start a business, her best choice would probably be a A. legal research service. B. restaurant. End of exam C. fast-food franchise. D. riding stable.
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In short the answer is D. Riding stable
Determine the profit maximizing price and quantity of resources in factor markets under perfect and imperfect competition by use of marginal analysis.
Answers
The demand for resources is derived from the demand for products and services, since most resources in their native form have little benefit. Businesses buy resources from households, who are the direct or indirect owners of land, labor, capital, and entrepreneurial resources, to produce the products and services that society desires. This is part of the circular flow model where businesses supply products that households demand and where businesses demand resources that households supply
Resource demand depends on the productivity of the resource in creating the good and also on the market value of the good produced. The production function relates the quantity of inputs used to produce a good to the quantity of output of that good.
Output Quantity
Production Function = ÷
Input Quantity
Graph of the production function, showing the relationship of the quantity of product output over the quantity of resource input.
However, for a firm with fixed assets, the production function increases more slowly as the quantity of inputs increases.
Marginal product (MP) is the additional output that results when using an additional resource unit.
Output Change
Marginal Product = ÷
Additional Input
When variable resources are applied to fixed resources or fixed assets, the marginal product diminishes as more additional resources are added, which is called, naturally enough, the principle of diminishing marginal product.
The map shows rainfall amounts in the United States. A map of the United States shows where rain is currently falling and how heavy the rain is falling. Which presentation would most likely include this map? one that seeks to identify areas across the US that are prone to flooding one that analyzes global warming effects on the climate of the US one that seeks to show the many lakes and rivers in the US one that illustrates boundary lines between the states in the US
Answers
Answer:
answer c
Explanation:took the quiz
Answer:
a
Explanation:
Westerville Company's beginning and ending inventories for the month of May are May 1 May 31 Direct Materials $67,000 $62,000 Work in Process $145,000 $171,000 Finished Goods $85,000 $78,000 Production data for the month of May follows: Direct labor $200,000 Actual manufacturing overhead $132,000 Direct materials purchased $163,000 Transportation in $2,000 Westerville Company uses one overhead control account and charges overhead to production at 70% of direct labor cost. The company does not formally close the account until the end of the year. Westerville Company's total manufacturing cost for May is $363,000 $510,000 $503,000 $502,000
Answers
Answer:
$510,000
Explanation:
The computation of the total manufacturing cost is shown below:
= Direct material + direct labor + manufacturing overhead
where,
Direct material is
= Opening balance + purchase + transportation - ending balance
= $67,000 + $163,000 + $2,000 - $62,000
= $170,000
Direct labor is $200,000
And, the manufacturing overhead is
= $200,000 × 70%
= $140,000
So, the total manufacturing cost is
= $170,000 + $200,000 + $140,000
= $510,000
Which of the following titles describes a first-line manager?
A. Vice president, Consumer Products Division
B. Vice president of sales
C. Customer service supervisor
D. Purchasing manager
Answers
Answer:
C. Customer service supervisor
Explanation:
First-line managers are the lowest rank of managers. They manage workers directly involved in the production process or in service delivery. First-line managers are commonly referred to as supervisors, office managers, or line managers. They do not manage staff at the management level.
From the list provided, the customer service supervisor is the first line manager. He or she manages workers providing customer service to clients.