A company operates two plants which manufacture the same item and whose total cost functions are C₁ = 5.5 +0.01(q₁)² and C₂ = 8.2 + 0.08(9₂)². where 9₁ and q₂ are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = 9₁ +9₂, is related to the price, p, by P = 40 -0.08q.. How much should each plant produce in order to maximize the company's profit?¹ 91 92 = i

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter25: Monopoly
Section: Chapter Questions
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A company operates two plants which manufacture the same item and whose total cost functions are
C₁ = 5.5 +0.01(9₁)² and C₂ M 8.2 +0.08(92)².
where q, and q2 are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = 91 +92. is
related to the price, p, by
p= 40 -0.08q.
How much should each plant produce in order to maximize the company's profit?¹
91 =
92 =
i
MA
Transcribed Image Text:A company operates two plants which manufacture the same item and whose total cost functions are C₁ = 5.5 +0.01(9₁)² and C₂ M 8.2 +0.08(92)². where q, and q2 are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = 91 +92. is related to the price, p, by p= 40 -0.08q. How much should each plant produce in order to maximize the company's profit?¹ 91 = 92 = i MA
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