A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40), and for product B is q = 34-y (for 0 ≤ y ≤ 34), both in thousands of dollars, where x and y are the amounts of products A and B, respectively. If the cost function is as shown below, find the quantities and the prices of the two products that maximize profit. Also find the maximum profit. C(x, y) = 11x + 20y - xy + 5 thousands of dollars product A quantity X units product A price x thousand dollars each product B quantity units product B price X thousand dollars each maximum profit thousand dollars Need Help? Read It Master it
A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40), and for product B is q = 34-y (for 0 ≤ y ≤ 34), both in thousands of dollars, where x and y are the amounts of products A and B, respectively. If the cost function is as shown below, find the quantities and the prices of the two products that maximize profit. Also find the maximum profit. C(x, y) = 11x + 20y - xy + 5 thousands of dollars product A quantity X units product A price x thousand dollars each product B quantity units product B price X thousand dollars each maximum profit thousand dollars Need Help? Read It Master it
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Transcribed Image Text:A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40), and for product
B is q = 34-y (for 0 ≤ y ≤ 34), both in thousands of dollars, where x and y are the amounts of products A and B,
respectively. If the cost function is as shown below, find the quantities and the prices of the two products that maximize
profit. Also find the maximum profit.
C(x, y) = 11x + 20y - xy + 5 thousands of dollars
product A quantity
X units
product A price
x thousand dollars each
product B quantity
units
product B price
X thousand dollars each
maximum profit
thousand dollars
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