Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the demand for brand 1 is  x = 85 − p1  thousand units and the demand for brand 2 is  y = 95 − p2  thousand units, where  p1 and p2  are prices in dollars. If the joint cost function is  C = xy,  in thousands of dollars, how many of each brand should be produced to maximize profit

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the demand for brand 1 is 

x = 85 − p1

 thousand units and the demand for brand 2 is 

y = 95 − p2

 thousand units, where 

p1 and p2

 are prices in dollars. If the joint cost function is 

C = xy,

 in thousands of dollars, how many of each brand should be produced to maximize profit?

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