Tasty Inc. sells table salt to both retail grocery chains and commercial users (e.g., bakeries, snack food makers, etc.). The demand function for each of these markets is:   Retail grocery chains: P1 = 180 − 8Q1   Commercial users: P2 = 100 − 4Q2 where P1 and P2 are the prices charged and Q1 and Q2 are the quantities sold in the respective markets. Tasty's total cost function (which includes a "normal" return to the owners) for salt is:

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
Chapter14: Pricing Techniques And Analysis
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Tasty Inc. sells table salt to both retail grocery chains and commercial users (e.g., bakeries, snack food makers, etc.). The demand function for each of these markets is:

 
Retail grocery chains:
P1 = 180 − 8Q1
 
Commercial users:
P2 = 100 − 4Q2

where P1 and P2 are the prices charged and Q1 and Q2 are the quantities sold in the respective markets. Tasty's total cost function (which includes a "normal" return to the owners) for salt is:

 
TC = 50 + 20(Q1 + Q2)
 
(a)
Determine Tasty's total profit function.
(b)
Assuming that Tasty Inc. is effectively able to charge different prices in the two markets, what are the profit-maximizing price and output levels for the product in the two markets? What is Tasty's total profit under this condition?
 
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