A competitive firm has the following short-run cost function: C(y) = y3 − 8y2 + 30y + 5. (a) Find the firm’s marginal cost function. (b) Find the firm’s average variable cost function. (c) Sketch graphs of the marginal cost and average variable cost functions as functions of output, y. At what point does the average variable cost curve intersect the marginal cost curve? In what intervals does the average variable cost curve decrease and increase? (d) Sketch the graph of the firm’s short-run supply function. (e) What is the shut-down price.

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter22: Supply: The Costs Of Doing Business
Section: Chapter Questions
Problem 10E
icon
Related questions
Question

Please explain every part in details 

A competitive firm has the following short-run cost function: C(y) = y3 − 8y2 + 30y + 5.

(a) Find the firm’s marginal cost function.

(b) Find the firm’s average variable cost function.

(c) Sketch graphs of the marginal cost and average variable cost functions as functions of output, y. At what point does the average variable cost curve intersect the marginal cost curve? In what intervals does the average variable cost curve decrease and increase?

(d) Sketch the graph of the firm’s short-run supply function.

(e) What is the shut-down price.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 2 images

Blurred answer
Knowledge Booster
Profit Function
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning