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
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Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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?
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