Solved: Maximum Revenue A company manufactures two types of sneakers, running shoes and

Chapter 13, Problem 15

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Maximum Revenue A company manufactures two types of sneakers, running shoes and basketball shoes. The total revenue from \(x_{1}\) units of running shoes and \(x_{2}\) units of basketball shoes is \(R=-5x_1^{\ 2}-8x_2^{\ 2}-2x_1x_2+42x_1+102x_2\), where \(x_{1}\) and \(x_{2}\) are in thousands of units. Find \(x_{1}\) and \(x_{2}\) so as to maximize the revenue.

Text Transcription:

x_1

x_2

R = -5x_1 ^2 - 8x_2 ^2 - 2x_1 x_2 + 42x_1 + 102x_2

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