The demand equation for the deluxe marble kit produced by Whoville Marble Works (WMW) is p = 600 - 3q -0.01q² where p is the price WMW sets for the kit and q is the number of kits that they sell in a week. (a) Find the price that WMW should set to maximize their weekly revenue, the corresponding revenue maximizing output and their maximum weekly revenue. Round your answers to 2 decimal places. (b) Show how you know that the revenue you found in (a) is WMW's absolute maximum weekly revenue.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
The demand equation for the deluxe marble kit produced by
Whoville Marble Works (WMW) is
p = 600 - 3q -0.01q²
where p is the price WMW sets for the kit and q is the number of
kits that they sell in a week.
(a) Find the price that WMW should set to maximize their weekly
revenue, the corresponding revenue maximizing output and their
maximum weekly revenue.
Round your answers to 2 decimal places.
(b) Show how you know that the revenue you found in (a) is
WMW's absolute maximum weekly revenue.
Transcribed Image Text:The demand equation for the deluxe marble kit produced by Whoville Marble Works (WMW) is p = 600 - 3q -0.01q² where p is the price WMW sets for the kit and q is the number of kits that they sell in a week. (a) Find the price that WMW should set to maximize their weekly revenue, the corresponding revenue maximizing output and their maximum weekly revenue. Round your answers to 2 decimal places. (b) Show how you know that the revenue you found in (a) is WMW's absolute maximum weekly revenue.
This continues the previous question.
WMW's cost of producing q deluxe marble kits per week is
c = 225q + 2500.
(a) Find the price that WMW should set to maximize their
weekly profit, the corresponding profit maximizing output
and their maximum weekly profit.
(b) Show how you know that the profit you found in (a) is
WMW's absolute maximum weekly profit.
(c) The Whoville city council decides to impose a $44.25 per kit
production tax on WMW. How much of this tax should
WMW pass on to consumers in the form of a price increase
in order to maximize their weekly profit under this new
condition?
Transcribed Image Text:This continues the previous question. WMW's cost of producing q deluxe marble kits per week is c = 225q + 2500. (a) Find the price that WMW should set to maximize their weekly profit, the corresponding profit maximizing output and their maximum weekly profit. (b) Show how you know that the profit you found in (a) is WMW's absolute maximum weekly profit. (c) The Whoville city council decides to impose a $44.25 per kit production tax on WMW. How much of this tax should WMW pass on to consumers in the form of a price increase in order to maximize their weekly profit under this new condition?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Simultaneous Equation
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