usands of dollars, where x and y are the amounts of products A and B, respectively. If the cost function is C(x, y) = 11x + 20y - xy + 9 of dollars, find the quantities and the prices of the two products that maximize profit. quantity units orice thousand dollars quantity units price thousand dollars eximum profit.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A company manufactures two products. The price function for product A is p = 18 -
x (for 0 sxs 36), and for product B is q = 37 - y (for 0 sys 37),
both in thousands of dollars, where x and y are the amounts of products A and B, respectively. If the cost function is
C(x, y) = 11x + 20y - xy + 9
thousands of dollars, find the quantities and the prices of the two products that maximize profit.
product A quantity
units
product A price
thousand dollars
product B quantity
units
product B price
thousand dollars
Find the maximum profit.
thousand dollars
Transcribed Image Text:A company manufactures two products. The price function for product A is p = 18 - x (for 0 sxs 36), and for product B is q = 37 - y (for 0 sys 37), both in thousands of dollars, where x and y are the amounts of products A and B, respectively. If the cost function is C(x, y) = 11x + 20y - xy + 9 thousands of dollars, find the quantities and the prices of the two products that maximize profit. product A quantity units product A price thousand dollars product B quantity units product B price thousand dollars Find the maximum profit. thousand dollars
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