Question

For the given cost function C(x) = 78400 + 500x + x^2 find: a) The cost at the production level 2000 b) The average cost at the production level 2000 c) The marginal cost at the production level 2000 d) The production level that will minimize the average cost e) The minimal average cost

          For the given cost function
C(x) = 78400 + 500x + x^2 find:
a) The cost at the production level 2000
b) The average cost at the production level 2000
c) The marginal cost at the production level 2000
d) The production level that will minimize the average cost
e) The minimal average cost

Show more…

For the given cost function
C(x) = 78400 + 500x + x^2 find:
a) The cost at the production level 2000
b) The average cost at the production level 2000
c) The marginal cost at the production level 2000
d) The production level that will minimize the average cost
e) The minimal average cost

Added by Jessica D.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Eduard Sanchez

07/28/2023

Step 1

C(x) = 78400 + 500x + x^2 C(2000) = 78400 + 500(2000) + (2000)^2 C(2000) = 78400 + 1000000 + 4000000 C(2000) = 5088400 So, the cost at the production level 2000 is $\boxed{5088400}$. b) Show more…

Show all steps

lock

Thanks for your feedback!

For the given cost function C(x) = 78400 + 500x + x^2, find: a) The cost at the production level 2000. b) The average cost at the production level 2000. c) The marginal cost at the production level 2000. d) The production level that will minimize the average cost. e) The minimal average cost.

Play audio

Feedback

Powered by NumerAI

Eduard Sanchez and 66 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 For this problem, we are given the following cost function.

00:03 So the total cost function is 78 ,400.

00:09 And then this loss 500 times x.

00:13 And this last access square now, report a of this problem.

00:18 The question is the cost at the production level of 2000.

00:22 So we just need to evaluate this 2000.

00:26 This person that we were given.

00:30 And this plus 500 times 2000, and then this loss 2000 to the square.

00:38 Then the value that we determined from this is okay.

00:53 This will give us 5 ,000 ,078 ,400.

01:02 Now, the next question for party of this problem is about the average cost at a production level of 200.

01:10 Now, the average cost at this is just.

01:16 The total cost that we determined from before divided by 2000.

01:21 So that will be them 5 ,000 ,078 ,400 divided by 2000.

01:29 The value that we determined from this is.

01:43 2 ,539 .20 cents for policy of this problem.

01:48 The question is the marginal costs.

01:50 So, to obtain the marginal cost with the revised cost function.

01:53 So that will give us 500...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later