1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
drek231 [11]
3 years ago
11

A certain electronics manufacturer found that the average cost C to produce x DVD/Blu- ray players can be found using the equati

on C=0.04x2−5x+800. What is the minimum average cost per machine and how many DVD/Blu-ray players should be built in order to acheive that minimum?

Mathematics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

The minimum average cost is $643.75

It should be built 62.5 machines to achieve the minimum average cost

Step-by-step explanation:

The equation that represents the cost C to produce x DVD/BLU-ray players is C = 0.04x² - 5x + 800

To find the minimum cost differentiate C to equate it by 0 to find the average cost per machine and to find the value of the minimum cost

∵ C = 0.04x² - 5x + 800

- Differentiate C with respect to x

∴ \frac{dC}{dx}=0.04(2)x^{2-1}-5(1)x^{1-1}+0

∴ \frac{dC}{dx}=0.08x-5

- Equate \frac{dC}{dx} by 0

∴ 0.08x - 5 = 0

- Add 5 to both sides

∴ 0.08x = 5

- Divide both sides by 0.08

∴ x = 62.5

That means the minimum average cost is at x = 62.5

Substitute the value of x in C to find the minimum average cost

∵ C = 0.04(62.5)² - 5(62.5) + 800

∴ C = 643.75

∵ C is the average cost

∴ The minimum average cost is $643.75

∵ x is the number of the machines

∴ It should be built 62.5 machines to achieve the minimum

   average cost

You might be interested in
Evaluate each numerical expression
ioda

{3}^{4}  - ( - 4)^{2}  =81 - (16) = 65

I hope I helped you^_^

7 0
3 years ago
Read 2 more answers
Suppose that the waiting time for an elevator at a local shopping mall is uniformly distributed from 0 to 90 seconds.
Nady [450]

Answer:

1/3

Step-by-step explanation:

60-90 is 30 numbers, right? So it is 30/90, or 1/3

7 0
3 years ago
Hi pls help this is TIMED
alexandr1967 [171]

What is the question you have?

3 0
3 years ago
Kate is saving to take an SAT prep course that costs $250, so far , she has saved $150, and she adds $10to her savings each week
matrenka [14]

Answer:

It will be ten weeks

Step-by-step explanation:

First you would need  to find out what is 250 - 150 = 100 So they will need 100 dollars 100 divided by 10 is 10 so that will be 10 weeks

7 0
3 years ago
4d = 30 the answer would be c=7.5 right if not plz correct me if im wrong
SashulF [63]

Answer:

Correct!

Step-by-step explanation:

You did it the correct mathematical way, where you divide 4 by 30. Some people get confused and multiply 30 and 4, so good job!

6 0
3 years ago
Read 2 more answers
Other questions:
  • You are planning to make a collage and are gathering materials.for the backing you will use a piece of heavy recycled cardboard
    13·1 answer
  • 14 times 2/7 the answer is simplified
    8·1 answer
  • Write the quadratic equation of the parabola that passes through (-2,5) and has a vertex of (1,-3)
    7·1 answer
  • Bill says that
    11·1 answer
  • Marla bought one necklace and two bracelets for $67.50. Use the following information to determine the amount she paid for each
    13·1 answer
  • Answers plz it’s timed
    9·1 answer
  • Help with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • What is the volume of the prism given below?
    9·1 answer
  • [solve each equation for the indicated variable]<br> 2A=πr2 for π
    9·1 answer
  • Can you find sine cosine and tangent of a given angle? A given point? Find it on and off the unit circle?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!