A Company Manufactures Two Types of Sneakers: Running Shoes and Basketball

question 73

Multiple Choice

A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue from units of running shoes and units of basketball shoes is: $R = - 6 x _ { 1 } ^ { 2 } - 9 x _ { 2 } ^ { 2 } - 2 x _ { 1 } x _ { 2 } + 37 x _ { 1 } + 95 x _ { 2 }$
where $x _ { 1 }$ and $x _ { 2 }$ are in thousands of units. Find $x _ { 1 }$ and $x _ { 2 }$ so as to maximize the revenue.

• A) \(x _ { 1 } = \frac { 119 } { 53 } , x _ { 2 } = \frac { 533 } { 106 }\)
• B) \(x _ { 1 } = \frac { 533 } { 106 } , x _ { 2 } = \frac { 119 } { 53 }\)
• C) \(x _ { 1 } = \frac { 533 } { 106 } , x _ { 2 } = \frac { 119 } { 106 }\)
• D) \(x _ { 1 } = \frac { 238 } { 107 } , x _ { 2 } = \frac { 533 } { 107 }\)
• E) \(x _ { 1 } = \frac { 533 } { 107 } , x _ { 2 } = \frac { 238 } { 107 }\)

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