a) What is the equation for the firm's short-run marginal cost (SRMC) curve. Draw it on a graph with the marginal revenue (MR) curve. Calculate and mark on your graph the profit-maximizing q*. b) Write the equation for the short-run average total cost curve (SRATC) and solve for its value evaluated at q* (SRATC*). Draw the SRATC and mark SRATC* on your graph from part (a). c) Write the equation for the short-run average variable cost curve (SRAVC) and solve for its value evaluated at q* (SRAVC*). Draw the SRAVC and mark SRAVC* on your graph from part (a).

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

Consider the perfectly competitive market for handmade rugs. The firms in this market are identical and each has a short-run total cost function equal to SRTC=200+5q+0.5q2, where q is the number of rugs a firm produces. The market price for each rug is equal to $15. Show your work to receive full credit.

a) What is the equation for the firm's short-run marginal cost (SRMC) curve. Draw it on a graph with the marginal revenue (MR) curve. Calculate and mark on your graph the profit-maximizing q*.

b) Write the equation for the short-run average total cost curve (SRATC) and solve for its value evaluated at q* (SRATC*). Draw the SRATC and mark SRATC* on your graph from part (a).

c) Write the equation for the short-run average variable cost curve (SRAVC) and solve for its value evaluated at q* (SRAVC*). Draw the SRAVC and mark SRAVC* on your graph from part (a).

d) Calculate the firm’s economic profit when they produce at q*. Shade the area that represents profit on the graph you drew above.

e) Should this firm stay open or shut down in the short run? Explain your answer.

f) Based on what you know about this market, what should happen to the number of firms in this market and what will happen to the market price in the long run?

g) Calculate the long-run equilibrium price and the number of units each firm produces at that price. Mark the long-run price on the graph you drew in part (a) or draw a new graph to indicate where it is.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Short-run Supply Curve
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
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education