An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on the number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?C(x)=x^2-520x+73458

Answers

Answer 1

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

Take the derivative of C(x) with respect to x

dC/dx = 2x - 520

Set = 0

2x - 520

2x = 520

x = 260

To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

= 5,858


Related Questions

Write 0.000 052 3 in standard form.​

Answers

The answer will be
5.23×10
−5
.

Answer:

523

Step-by-step explanation:

as 5 is in hundreds place

2 is in tens place

3 is in ones place

x 12 = 6 10 give your answer as an improper fraction in its simplest form.

Answers

Answer:

41/6

Step-by-step explanation:

Take the root of both sides and solve.

Ann Carlyle is planning a business trip for which she needs to rent a car. The car rental company charges $50 per day plus $0.80 per mile over 100 miles. Suppose Ms. Carlyle rents the car for 5 days and drives 200 miles.

Answers

Answer:

The answer is 410

Step-by-step explanation:

You have to times 50 by 5 then 0.80 times 200 then add them i hope its right <3

A baker's bread recipe calls for
2 cups of flour. He plans to make 2 loaves of
bread.
If the baker's measuring scoop holds
cup, how many scoops of
flour will he need in all?

Answers

The answer is 4 because if you do 2×2 =

WILL MARK YOU BRAINLIEST!!!!!!

Answers

Answer:

a b d e

Step-by-step explanation:

yes its correct

Consider the rule y = 5x + 7.
a. How many tiles are in Figure 0?
b. Which figure has 37 tiles?
c. In the equation y = mx + b, what do the letters m and b represent?

Answers

Answer:

see below

Step-by-step explanation:

Consider the rule y = 5x + 7.

a. How many tiles are in Figure 0?

In figure 0, we let x=0

y = 5*0+7 = 0+7 = 7

b. Which figure has 37 tiles?

This means y = 37

37 = 5x+7

Subtract 7 from each side

37-7 = 5x+7-7

30 = 5x

Divide by 5

30/5 = 5x/5

6 =x

Figure 6 has 37 tiles

c. In the equation y = mx + b, what do the letters m and b represent?

m is the slope or how much it is increasing each time x increases by 1  and b is how much we start with when x =0

Kamila reads 5/8 pages in ⅔ minutes. How many pages does she read per minute?

Answers

Answer:

Something like 15/16 page per minute.

Step-by-step explanation:

Tell me if I am wrong.

5.) Which point on the number line below
represents ?
A
В с
D
0
1
2
3
4
a) Point A
c) Point C
b) Point B
d) Point D

Answers

The answer is a) Point A
the answer is point a .

help me. I'm not very good at math

determine whether the given is a rational equation, rational inequality,rational, function

y = × + 3

I will mark if anyone answer these

wrong or no respect will be report​

Answers

X=-3 I’m sure I’m right

50+ Points!

Solve the equation.

5^-9×325+(-42÷-14)

Answers

Answer:

−6347653.25 or 3.0001664, not my style of math but it is definitely one of the two.

Step-by-step explanation:

−1953125 x 325 + 3

−6347656.25 + 3 = −6347653.25

Answer:

3.0001664

Step-by-step explanation:

.

A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. How many cups of cereal does the medium box contain?

-------Cups

Answers

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

(small)     10 cups   =   100%

(medium)    x cups     =   130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need 30% more than the small box, so:

10 + 3 = 13 cups

use the rational exponent property to write an equivalent expression for

Answers

Answer:

i need to know what for

Step-by-step explanation:

Answer:

forrr rwhatttt

Step-by-step explanation:

b. How many eggs would you need to make 18 dozen cookies?

Answers

I would say 24 or 25 I think don’t hold me on that

You are having a pizza-making party for a number of people. You will need 6 ounces of dough and 4 ounces of sauce for each person at this party. If you used a total of 130 ounces of dough and sauce all together,

Answers

Answer:

13

Step-by-step explanation:

I can't see the rest of the question but im assuming it's asking how many people there are so you add the 6 and 4 together which makes 10 and divide 130 by 10 because its 10 ounces all together for each person which makes 13. I'm really sorry of this is wrong but im assuming that is the answer because that is what the question looks like its asking

Answer:13

Step-by-step explanation:

not sure if correct but

Jen bought 5 CD's for $57.50. What was the unit price?

Answers

Answer:

$11.50 per CD

Step-by-step explanation: u have to make 5 into 1, thats divinding. Then u divide $57.50 by 5, there's your unit price :)

Evaluate the expression for x=5, y=-3 and z=7
7 - 3y – 3z

Answers

Answer:

Step-by-step explanation:

7 - 3(-3) - 3(7) = 7 + 9 - 21 = 16 - 21 = -5

Answer:

-5

Step-by-step explanation:

(Refer to image)

Plug in the y and z and use order of operations to simplify!

Which real world scenario matches this inequality? 10X < 4X +2 The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is greater than the cost of 4 shoes plus $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of 10 shoes is less than the cost of 4 shoes with $2 socks. The cost of $2 is greater than the cost of 4 shoes.

Answers

Answer:

The cost of 10 shoes is less than the cost of 4 shoes with a $2 off coupon.

Explanation:

The inequality corresponds closely to the cost of 10 shoes being less than cost of 4 shoes with $2 off coupon. Closely because there is an error here the constant $2 off coupon should mean it is reducing the price of 4 shoes and therefore a minus sign should come before it, equation should be 10x<4x-2.

We can see that X is the price per shoe here

Which of the following is the correct mathematical expression for:
Double a number and then increase it by five
A-) 2x + 5
B-)2x - 5
C-) 1/2x +5
D-) 1/2x-5

Answers

Answer:

A

Step-by-step explanation:

it's so hard to explain but I'm pretty sure A is the answer

The correct answer is A!

Please help asap!! I'll give you brainliest!!

What is the slope of the function, represented by the table of values below?

Answers

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

What is the slope of the line that passes through points (-4, 5) and (3, -2)?

Answers

Answer:

-1

Step-by-step explanation:

Complete y2 - y1 over x2 - x1 with your given points:

-2 - 5     =        -7

_____          ____

3 - (-4)    =        7

= ⁻⁷⁄₇ = -1   Simplify to lowest term


(a)
Stephen and Karen are getting the floor redone in their house. Company A charges $215 and $0.50 per square foot to install carpet. Company B charges $100 and $0.75 per square foot to install carpet.

Determine which company would be a better choice if Stephen and Karen were having 400 square feet of carpet installed. Justify your answer using
math

Answers

Answer:

Company B

Step-by-step explanation:

Given. That :

Company A:

Initial charge = $215

Charge per square foot = 0.50

Company B:

Initial charge = $100

Charge per square foot = 0.75

Which company if installing 400 square feet of carpet :

Company A:

Total bill:

$215 + 0.50(400) =$415

Company B:

Total bill:

$100 + 0.75(400) = $400

Hence, Company B will be a better option as the total cost is cheaper than company As cost.

Monica is rollerblading along a trail in Tropical Park. She stopped for water after rollerblading for 2.45 miles. She continued on the trail for another 3.04 miles, then stopped for lunch. She made her final stop after rollerblading for another 2.8 miles. How many miles did Monica rollerblade?

Answers

Answer:

8.29

Step-by-step explanation:

If you add them all together your answer should be 8.29

Answer:

8.29

Step-by-step explanation:

hope it helps! :))

In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.

Answers

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know [tex]\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}[/tex]. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

[tex]\frac{sin(X)}{x} = \frac{sin(W)}{w}[/tex]

Plug in:

[tex]\frac{sin(68)}{x} = \frac{sin(93)}{520}[/tex]

The answer when solving for x is the above

Answer:

483

Step-by-step explanation:

delta math

Katie went to buy a new tv and finds one for $550.00. In the state of Texas, there is a 6% sales tax on items. How much did Katie pay for the TV including the tax?​

Answers

Answer:

583$

Step-by-step explanation:

6% is equal to 0.06, so you multiply 550 by 0.06.  which equals 33. Then, because it asks for how much Katie played, including the tax and TV, you add 33 to 550.

A bill can pass in the U.S. senate with a three-fifths vote. If there are 100 senators, how many are needed to pass a bill? ​

Answers

Answer:

60

Step-by-step explanation:

3/5 x 100

0.6 x 100

60

Brainliest Appreciated!

The function y = 0.752 +4.75 represents the cost y (in dollars) of a bowl of soup with a bread sticks. You can buy 0, 1, 2, or 3 bread sticks.
Identify the independent and dependent variables, the domain, and the range.

Answers

Answer:

Answer in explanation

Step-by-step explanation:

y = 0.752x + 4.75

The independent variable will refer to what we have on the horizontal axis which is x. It is from these x we will get the values of the y

The dependent variable is the other variable asides the independent, in this case, the dependent variable is y

When we talk of the domain, we talk of the range of values from the independent variable axis

Here, these values are 0,1,2 or 3

Lastly, the domain refers to the range of values on the y-axis

To get this, we need to input the x-values digit into the equation one after the other

At x = 0

y = 4.75

At x = 1

y = 0.752 + 4.75 = 5.502

At x = 2

y = (0.752)2 + 4.75 = 6.254

At x = 3

y = 0.752(3) + 4.75

= 7.006

The range of values is between 4.75 and 7.006

order √2, 2π, 0.8
Please help ASAP ​

Answers

Answer:

0.8,√2,2π

Step-by-step explanation:

Answer:

the second one, then the first, then the last one

Step-by-step explanation:

the first one is = to 1

the second one is = to 6.3

the third one is = to .8

Use the distributive property to rewrite the following expression.
2(n - 6) + 4
Pls I need this in 5 min!!

Answers

Answer: 2n-8

Explanation: 2(n-6)+4 you bring 2 into the parentheses so 2 x n is just 2n
then 2 x -6 = -12
New equation 2n-12 +4
Now you combine-12 and 4 which is -8
Finale equation: 2n-8

Answer:

2n - 12 + 4

Step-by-step explanation:

Distribute 2 across the n+6, get 2 x n and get 2n, and 2 x -6 = -12

u need this m8, good day

Javier works 2 and 2 over 5 hours on Monday and 3 hours on Tuesday. His pay rate is $10.25 per hour. How much will be paid, in dollars for working on Monday and Tuesday?

Answers

I don't really understand the "2 and 2 over 5 hours" part Javier will be paid 30.75 for Tuesday.

How can you find the reciprocal of 0.8? Select all that apply.

Answers

Answer:

TAKEN FROM GOOGLE

Step-by-step explanation:

The reciprocal of a number is the number that the initial number can be multiplied by to get the product 1. Therefore, the reciprocal of .8 is 1.25, since those two factors when multiplied together created a product of 1, or 1.000. The easiest way to find a reciprocal is to write the initial number as a fraction ( in this case, 8/10) and then "flip it" (making it 10/8) and simplifying. (10/8 = 1 and 1/4, or 1.25)

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