3. The equation of the monthly demand for cabin bags is given by: 45-p= 0'5q and the monthly average cost function is: Cme(q) = q²-39'50q+120+125, where p ≤ 45 is the unit price and q are the number of units sold. 3.1 What are the price and quantity that maximize the total profit? How much is this profit? 3.2 Calculate the marginal income (revenue) of the 20th unit using marginal income (revenue) and compare it to the actual additional income. 3.3 Calculate the price elasticity of demand for the quantity that maximizes profit and interpret the result obtained.
3. The equation of the monthly demand for cabin bags is given by: 45-p= 0'5q and the monthly average cost function is: Cme(q) = q²-39'50q+120+125, where p ≤ 45 is the unit price and q are the number of units sold. 3.1 What are the price and quantity that maximize the total profit? How much is this profit? 3.2 Calculate the marginal income (revenue) of the 20th unit using marginal income (revenue) and compare it to the actual additional income. 3.3 Calculate the price elasticity of demand for the quantity that maximizes profit and interpret the result obtained.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question

Transcribed Image Text:3. The equation of the monthly demand for cabin bags is given by: 45-p= 0'5q and the
monthly average cost function is: Cme(q) = q²-39'50q+120+¹25, where p ≤ 45 is the
unit price and q are the number of units sold.
3.1 What are the price and quantity that maximize the total profit? How much is this
profit?
3.2 Calculate the marginal income (revenue) of the 20th unit using marginal income
(revenue) and compare it to the actual additional income.
3.3 Calculate the price elasticity of demand for the quantity that maximizes profit and
interpret the result obtained.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step 1: Define total revenue, total cost and profit.
VIEWStep 2: 3.1)Calculate profit maximizing output, price and the maximum profits.
VIEWStep 3: 3.2)Calculate marginal revenue of 20th unit and additional income.
VIEWStep 4: 3.3)Calculate the price elasticity at profit maximizing output and price.
VIEWSolution
VIEWStep by step
Solved in 5 steps with 11 images

Knowledge Booster
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.Recommended textbooks for you


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

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)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

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-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education