Suppose an​ ocean-front hotel rents rooms. In the​ winter, demand​ is:   P1=50−1Q1   with marginal revenue​ of: MR1=50−2Q1.   ​However, in the​ summer, demand​ is: P2=140−1Q2 with marginal revenue​ of:: MR2=140−2Q2.   ​Furthermore, suppose the​ hotel's marginal cost of providing rooms is MC=5+1​Q, which is increasing in Q due to capacity constraints. Suppose the hotel engages in​ peak-load pricing. During the​ winter, the​ profit-maximizing price is  ​$______and the​ profit-maxizing quantity is______rooms.  ​(Enter numeric responses rounded to two decimal​ places.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter8: Cost Analysis
Section: Chapter Questions
Problem 2.2CE
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Suppose an​ ocean-front hotel rents rooms. In the​ winter, demand​ is:
 
P1=50−1Q1
 
with marginal revenue​ of:
MR1=50−2Q1.
 
​However, in the​ summer, demand​ is:
P2=140−1Q2
with marginal revenue​ of::
MR2=140−2Q2.
 
​Furthermore, suppose the​ hotel's marginal cost of providing rooms is
MC=5+1​Q,
which is increasing in Q due to capacity constraints.
Suppose the hotel engages in​ peak-load pricing. During the​ winter, the​ profit-maximizing price is  ​$______and the​ profit-maxizing quantity is______rooms.  ​(Enter numeric responses rounded to two decimal​ places.)
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