(a) If there is no restrictions on pumping waste into the lake, how much waste will the firm pumps to maximize its profits? (b) check photo for part B please

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

A large factory pumps its waste into a nearby lake. The lake is also used for recreation by 1,000 people. Let X be the amount of waste that the firm pumps into the lake. Let Yi be the number of hours per day that person i spends swimming and boating in the lake, and let Ci be the number of dollars that person i spends on consumption goods. If the firm pumps X units of waste into the lake, its profits will be;

Π(X) = 1, 200X − 100X^2.

(a) If there is no restrictions on pumping waste into the lake, how much waste will the firm
pumps to maximize its profits?
(b) check photo for part B please

 

(b) Consumers have identical utility functions given by
U(Y₁, C₁, X) = C₁ +9Y-Y²-XY₁₁
and identical incomes. Suppose that there is no charge to consumers for using the lake. If
the firm pumps the waste based on (a), how many hours per day will each consumer spend?
Transcribed Image Text:(b) Consumers have identical utility functions given by U(Y₁, C₁, X) = C₁ +9Y-Y²-XY₁₁ and identical incomes. Suppose that there is no charge to consumers for using the lake. If the firm pumps the waste based on (a), how many hours per day will each consumer spend?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Let me know if you are able to answer these as the next part

(c) If the firm decides as in (a) and each consumer decides as in (b), then how much is each
consumer willing to pay to the firm to reduce the waste by 1 unit?
(d) How much reduction in the profits will be there if the firm reduces the waste by 1 unit?
(e) Suppose that one consumer takes a lead and asks everyone to contribute $0.10 for the 1 unit
reduction of the waste into the lake. Will he/she succeed to make everyone happy, including
the firm? Explain your answer.
Transcribed Image Text:(c) If the firm decides as in (a) and each consumer decides as in (b), then how much is each consumer willing to pay to the firm to reduce the waste by 1 unit? (d) How much reduction in the profits will be there if the firm reduces the waste by 1 unit? (e) Suppose that one consumer takes a lead and asks everyone to contribute $0.10 for the 1 unit reduction of the waste into the lake. Will he/she succeed to make everyone happy, including the firm? Explain your answer.
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

Could you show the work for getting X = 6 and Y = (9-X)/2

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Clean Air Act
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
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