buips Industries manufactures a certain product can be sold directly to retail outlets or to the Superior Company for further processing and eventual sale as a completely different product. The demand function for each of these markets is: P = 60 P2 = Retail Outlets: 201 %3D Superior Company: 40 Q2 where P and Pzare the prices charged and Q, and Q2 are the quantities sold in the respective markets. Philips's total cost function for the manufacture of this product is: TC 10 + 8(Q1 + Q2) %3D (a) Determine Philips's total profit function. (b) What are the profit-maximizing price and output levels for the product in the two markets (c) At these level of output, calculate the marginal revenue in each market.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
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Chapter14: Pricing Techniques And Analysis
Section: Chapter Questions
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3. Philips Industries manufactures a certain product can be sold directly to retail outlets or to the
Superior Company for further processing and eventual sale as a completely different product.
The demand function for each of these markets is:
P = 60
P2 = 40
201
%3D
Retail Outlets:
Q2
Superior Company:
where P and P2are the prices charged and Q, and Q2 are the quantities sold in the
respective markets. Philips's total cost function for the manufacture of this product is:
TC
10 + 8(Q1 + Qz)
%D
(a)
Determine Philips's total profit function.
(b)
What are the profit-maximizing price and output levels for the product in the two markets?
(c)
At these level of output, calculate the marginal revenue in each market.
(d)
What are Phillips's total profits if the firm is effectively able to charge different prices in
the two markets?
(e)
Calculate the profit-maximizing level of price and output if Phillips is required to charge
the same price per unit in each market. What are Phillips's profits under this condition?
Transcribed Image Text:3. Philips Industries manufactures a certain product can be sold directly to retail outlets or to the Superior Company for further processing and eventual sale as a completely different product. The demand function for each of these markets is: P = 60 P2 = 40 201 %3D Retail Outlets: Q2 Superior Company: where P and P2are the prices charged and Q, and Q2 are the quantities sold in the respective markets. Philips's total cost function for the manufacture of this product is: TC 10 + 8(Q1 + Qz) %D (a) Determine Philips's total profit function. (b) What are the profit-maximizing price and output levels for the product in the two markets? (c) At these level of output, calculate the marginal revenue in each market. (d) What are Phillips's total profits if the firm is effectively able to charge different prices in the two markets? (e) Calculate the profit-maximizing level of price and output if Phillips is required to charge the same price per unit in each market. What are Phillips's profits under this condition?
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