1. A firm has the possibility of charging different prices in its domestic and foreign markets. The corresponding demand equations are given by Q1 = 300 – P. Q2 = 400 – 2P, and the total cost function is TC = 5000 + 100Q where Q = Q1 + Q2. Determine the firm's pricing policy that maximizes the firm's profit and hence calculate the value of the maximum profit.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1. A firm has the possibility of charging different prices in its domestic and foreign
markets. The corresponding demand equations are given by
Q1 = 300 – P,
Q2 = 400 – 2P,
%3D
and the total cost function is
TC = 5000 + 100Q
where Q = Q1 + Q2. Determine the firm's pricing policy that maximizes the firm's
profit and hence calculate the value of the maximum profit.
2. A firm is a monopolistic producer of two goods G, and G2. The prices are related to
quantities Q1 and Q2 according to the demand equations
Q1 = 50 – P,
2Q2 = 90 – P2
If the total cost function is
TC = Q? + 2Q,Q2 + Q?
a) Find an expression for the firm's profit
b) Find the values of Q1 and Q2 which maximises profit by applying first and
second order conditions and then the corresponding prices.
c) Find the maximum profit and deduce the prices that maximises profit
Transcribed Image Text:1. A firm has the possibility of charging different prices in its domestic and foreign markets. The corresponding demand equations are given by Q1 = 300 – P, Q2 = 400 – 2P, %3D and the total cost function is TC = 5000 + 100Q where Q = Q1 + Q2. Determine the firm's pricing policy that maximizes the firm's profit and hence calculate the value of the maximum profit. 2. A firm is a monopolistic producer of two goods G, and G2. The prices are related to quantities Q1 and Q2 according to the demand equations Q1 = 50 – P, 2Q2 = 90 – P2 If the total cost function is TC = Q? + 2Q,Q2 + Q? a) Find an expression for the firm's profit b) Find the values of Q1 and Q2 which maximises profit by applying first and second order conditions and then the corresponding prices. c) Find the maximum profit and deduce the prices that maximises profit
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