A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running shoes and x2 units of basketball shoes is R = −5x12 − 8x22 − 2x1x2 + 42x1 + 102x2 where x1 and x2 are in thousands of units. Find x1 and x2 so as to maximize the revenue.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.10: Problems Without Solutions
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A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running shoes and x2 units of basketball shoes is R = −5x12 − 8x22 − 2x1x2 + 42x1 + 102x2 where x1 and x2 are in thousands of units. Find x1 and x2 so as to maximize the revenue.

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