menu
bartleby
search
close search
Hit Return to see all results

Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed costs are $2400.

Question

Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed costs are $2400.

check_circleAnswer
Step 1

We are given marginal cost 

 

C'(x) 3x-6x
help_outline

Image Transcriptionclose

C'(x) 3x-6x

fullscreen
Step 2

Firstly, we will find antiderivative

 

С() %— Зл3 — бх
C() - (3х* - бх)dr
Зл* dx - | 6xd
— — Зx?
С() %3 х - За? +k
help_outline

Image Transcriptionclose

С() %— Зл3 — бх C() - (3х* - бх)dr Зл* dx - | 6xd — — Зx? С() %3 х - За? +k

fullscreen
Step 3

Now, we can find k using initial...

C(x) x3x2k
C(0) 2400
2400 (0)-3(0)2 +k
k 2400
help_outline

Image Transcriptionclose

C(x) x3x2k C(0) 2400 2400 (0)-3(0)2 +k k 2400

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Integration

Sorry about that. What wasn’t helpful?