Maximum Revenue A company manufactures running shoes and basketball shoes. The total

Chapter 13, Problem 13

(choose chapter or problem)

A company manufactures running shoes and basketball shoes. The total revenue from \(x_{1}\) units of running shoes and \(x_{2}\) units of basketball shoes is

\(R=-5 x_{1}^{2}-8 x_{2}^{2}-2 x_{1} x_{2}+42 x_{1}+102 x_{2}\)

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