?A company manufactures two types of athletic shoes: jogging shoes and cross-trainers

Chapter 4, Problem 355

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A company manufactures two types of athletic shoes: jogging shoes and cross-trainers. The total revenue from x units of jogging shoes and y units of cross-trainers is given by \(R(x, y)=-5 x^{2}-8 y^{2}-2 x y+42 x+102 y\), where x and y are in thousands of units. Find the values of x and y to maximize the total revenue.

Text Transcription:

R(x, y) = -5x^2 - 8y^2 - 2xy + 42x + 102y

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