A monopolistic producer of two goods, G1 and G2, has a total cost function TC = 5 Q₁ + 10Q2 where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P1 and P2 denote the corresponding prices then the demand equations are
A monopolistic producer of two goods, G1 and G2, has a total cost function TC = 5 Q₁ + 10Q2 where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P1 and P2 denote the corresponding prices then the demand equations are
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Question-1
A monopolistic producer of two goods, G1 and G2, has a total cost function
TC = 5 Q₁ + 10Q2
where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P1 and P2 denote the
corresponding prices then the demand equations are
P₁ 50 Q₁ Q2
=
P₂
= 100 Q₁-4Q₂
-
A. Calculate the maximum profit if the firm's total costs are fixed at $100.
B. Estimate the value of Lagrange multiplier (lamda).
C. Estimate the new optimal profit if total costs rise to $110. Do you think that firm's profit
increases than previous condition? Verify the answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f269f54-574c-43cc-bc6a-62a16784f2e8%2F397797ee-e861-4f68-9966-9a9ff9e0f5e9%2Fdninugf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question-1
A monopolistic producer of two goods, G1 and G2, has a total cost function
TC = 5 Q₁ + 10Q2
where Q1 and Q2 denote the quantities of G1 and G2 respectively. If P1 and P2 denote the
corresponding prices then the demand equations are
P₁ 50 Q₁ Q2
=
P₂
= 100 Q₁-4Q₂
-
A. Calculate the maximum profit if the firm's total costs are fixed at $100.
B. Estimate the value of Lagrange multiplier (lamda).
C. Estimate the new optimal profit if total costs rise to $110. Do you think that firm's profit
increases than previous condition? Verify the answer.
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