a) If James decides to charge the same price for rolls and pies per day (that is, P = P2), how many of rolls and pies in total should he make in order to maximize the profit of a particular day? b) If James decides to charge different prices as above for rolls and pies per day (that is, P, # P2), how many of rolls and pies should he make in order to maximize the profit of a particular day? c) Which of the above options (a) or (b) is more profitable? Provide the rationale for your answer.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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James mainly sells confectionery items, newspapers, magazines and cigarettes in
his convenience store. Noting his small business is not thriving, he thought of
selling hot pies and rolls too.
Suppose the total cost function for rolls and pies is,
TC = 800 + 53Q, Q = Q1+ Q2
where Q1 and Q2 denote the quantities of rolls and pies respectfully. If P, and P2
denote the corresponding prices, then the inverse demand equations are:
Q1 = 73 – P1 and 0.5Q2
= 100 – P2
Transcribed Image Text:James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 800 + 53Q, Q = Q1+ Q2 where Q1 and Q2 denote the quantities of rolls and pies respectfully. If P, and P2 denote the corresponding prices, then the inverse demand equations are: Q1 = 73 – P1 and 0.5Q2 = 100 – P2
a) If James decides to charge the same price for rolls and pies per day (that is,
P = P2), how many of rolls and pies in total should he make in order to
maximize the profit of a particular day?
b) If James decides to charge different prices as above for rolls and pies per day
(that is, P1 + P2), how many of rolls and pies should he make in order to
maximize the profit of a particular day?
c) Which of the above options (a) or (b) is more profitable? Provide the rationale
for
your answer.
Transcribed Image Text:a) If James decides to charge the same price for rolls and pies per day (that is, P = P2), how many of rolls and pies in total should he make in order to maximize the profit of a particular day? b) If James decides to charge different prices as above for rolls and pies per day (that is, P1 + P2), how many of rolls and pies should he make in order to maximize the profit of a particular day? c) Which of the above options (a) or (b) is more profitable? Provide the rationale for your answer.
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