-) Schottman's Sporting Goods Company manufactures two kinds of skateboards, skateboard A and skateboard B. Each skateboard A requires 3 hours of labor, and the company can make no more than 20 of this type. Each skateboard B requires 2 hours of labor, and the company can make no more than 30 of this type. The maximum number of hours of labor available for skateboard pro- duction is 96. The profit on each skateboard A is $30 and the profit on each skateboard 8 is $40. Using linear programming, find the number of each that should be manufactured in order to maximize the profit. (Let each tick mark on both axes represent 5.)

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Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
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III. Solve.
4.) Schottman's Sporting Goods Company manufactures two kinds of skateboards, skateboard A and
skateboard B. Each skateboard A requires 3 hours of labor, and the company can make no more
than 20 of this type. Each skateboard B requires 2 hours of labor, and the company can make no
more than 30 of this type. The maximum number of hours of labor available for skateboard pro-
duction is 96. The profit on each skateboard A is $30 and the profit on each skateboard B is $40.
Using linear programming, find the number of each that should be manufactured in order to
maximize the profit. (Let each tick mark on both axes represent 5.)
Transcribed Image Text:III. Solve. 4.) Schottman's Sporting Goods Company manufactures two kinds of skateboards, skateboard A and skateboard B. Each skateboard A requires 3 hours of labor, and the company can make no more than 20 of this type. Each skateboard B requires 2 hours of labor, and the company can make no more than 30 of this type. The maximum number of hours of labor available for skateboard pro- duction is 96. The profit on each skateboard A is $30 and the profit on each skateboard B is $40. Using linear programming, find the number of each that should be manufactured in order to maximize the profit. (Let each tick mark on both axes represent 5.)
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