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 + 34x₁ + 116x₂, where x₁ and x₂ are in thousands of units. Find X₁ and x₂ so as to maximize the revenue. x1 = x₂ =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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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 + 34x₁ + 116x₂,
where x₁ and x₂ are in thousands of units. Find X₁ and x₂ so as to maximize the revenue.
x1 =
x₂ =
Transcribed Image Text: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 + 34x₁ + 116x₂, where x₁ and x₂ are in thousands of units. Find X₁ and x₂ so as to maximize the revenue. x1 = x₂ =
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