Mariel runs an ice cream shop. Her short-run cost is given by 300 + 3000 + 3g where q s the number of ice cream cones she sells per day. (a) Find mathematical expressions for Mariel's marginal cost, average variable cost, and average total cost. (b) Sketch' Mariel's marginal cost, average variable cost, and average total cost. (c) Suppose the market price for ice cream cones is $3. How many ice cream cones will Mariel supply? What will her profits be? Identify your answers on the diagram and then compute the values mathematically. (d) Find the minimum market price such that Mariel will stay in business in the short-run, both on your diagram and mathematically. (e) Assume that Mariel can only run an ice cream shop of this size and in the long run must decide whether to operate or not. (In other words, assume that Mariel's LRAC curve is her short-run average total cost curve.) Identify the minimum market price such that Mariel will stay in business in the long-run on your diagram. How could you find this

Principles of Economics (MindTap Course List)
8th Edition
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter14: Firms In Competitive Markets
Section: Chapter Questions
Problem 4PA
icon
Related questions
Question
1. Mariel runs an ice cream shop. Her short-run cost is given by 300 +
is the number of ice cream cones she sells per day.
+ 3q where q
3000
(a) Find mathematical expressions for Mariel's marginal cost, average variable cost, and
average total cost.
(b) Sketch' Mariel's marginal cost, average variable cost, and average total cost.
(c) Suppose the market price for ice cream cones is $3. How many ice cream cones will
Mariel supply? What will her profits be? Identify your answers on the diagram and
then compute the values mathematically.
(d) Find the minimum market price such that Mariel will stay in business in the short-run,
both on your diagram and mathematically.
(e) Assume that Mariel can only run an ice cream shop of this size and in the long run must
decide whether to operate or not. (In other words, assume that Mariel's LRAC curve is
her short-run average total cost curve.) Identify the minimum market price such that
Mariel will stay in business in the long-run on your diagram. How could you find this
mathematically? (You do NOT need to actually compute the value).
Transcribed Image Text:1. Mariel runs an ice cream shop. Her short-run cost is given by 300 + is the number of ice cream cones she sells per day. + 3q where q 3000 (a) Find mathematical expressions for Mariel's marginal cost, average variable cost, and average total cost. (b) Sketch' Mariel's marginal cost, average variable cost, and average total cost. (c) Suppose the market price for ice cream cones is $3. How many ice cream cones will Mariel supply? What will her profits be? Identify your answers on the diagram and then compute the values mathematically. (d) Find the minimum market price such that Mariel will stay in business in the short-run, both on your diagram and mathematically. (e) Assume that Mariel can only run an ice cream shop of this size and in the long run must decide whether to operate or not. (In other words, assume that Mariel's LRAC curve is her short-run average total cost curve.) Identify the minimum market price such that Mariel will stay in business in the long-run on your diagram. How could you find this mathematically? (You do NOT need to actually compute the value).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Total Cost
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
Recommended textbooks for you
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Economics, 7th Edition (MindTap Cou…
Principles of Economics, 7th Edition (MindTap Cou…
Economics
ISBN:
9781285165875
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Essentials of Economics (MindTap Course List)
Essentials of Economics (MindTap Course List)
Economics
ISBN:
9781337091992
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Principles of Economics 2e
Principles of Economics 2e
Economics
ISBN:
9781947172364
Author:
Steven A. Greenlaw; David Shapiro
Publisher:
OpenStax
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
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