A company operates two plants which manufacture the same item and whose total cost functions are C₁ = 5.8 +0.03(91)² and C₂ = 7.3 +0.04(92)², where qi and 92 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=400.04q. How much should each plant produce in order to maximize the company's profit?¹
A company operates two plants which manufacture the same item and whose total cost functions are C₁ = 5.8 +0.03(91)² and C₂ = 7.3 +0.04(92)², where qi and 92 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=400.04q. How much should each plant produce in order to maximize the company's profit?¹
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![A company operates two plants which manufacture the same item and whose total cost functions are
C₁ = 5.8 +0.03(91)² and C₂ = 7.3 + 0.04(92)²,
where 9₁ and 92 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 = 400.04q.
How much should each plant produce in order to maximize the company's profit?¹
91 =
92 = i
!
!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd184b30-7a79-469e-a16a-f458a8d2b927%2Fe0524780-fd2d-45b3-8233-08119fc7dd35%2Fh44zoda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company operates two plants which manufacture the same item and whose total cost functions are
C₁ = 5.8 +0.03(91)² and C₂ = 7.3 + 0.04(92)²,
where 9₁ and 92 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 = 400.04q.
How much should each plant produce in order to maximize the company's profit?¹
91 =
92 = i
!
!
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