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:
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:
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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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:
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Retail grocery chains:
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P1 = 180 − 8Q1
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Commercial users:
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P2 = 100 − 4Q2
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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:
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TC = 50 + 20(Q1 + Q2)
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(a)
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Determine Tasty's total profit function.
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(b)
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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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