The Mighty Silver Ball Company manufactures three kinds of pinball machines, each requiring a different manufacturing...

 

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The Mighty Silver Ball Company manufactures three kinds of pinball machines, each requiring a different manufacturing technique. The Super Deluxe Machine requires 17 hours of labor, 8 hours of testing, and yields a profit of $300. The Silver Ball Special requires 10 hours of labor, 4 hours of testing, and yields a profit of $200. The Bumper King requires 2 hours of labor, 2 hours of testing, and yields a profit of $100. There are 1000 hours of labor and 500 hours of testing available. In addition, a marketing forecast has shown that the demand for the Super De- luxe is no more than 50 machines, demand for the Silver Ball Special no more than 80, and demand for Bumper King no more than 150. The manufacturer wants to determine the optimal production schedule that will maximize his total profit. Formulate this as a linear programming problem. The Mighty Silver Ball Company manufactures three kinds of pinball machines, each requiring a different manufacturing technique. The Super Deluxe Machine requires 17 hours of labor, 8 hours of testing, and yields a profit of $300. The Silver Ball Special requires 10 hours of labor, 4 hours of testing, and yields a profit of $200. The Bumper King requires 2 hours of labor, 2 hours of testing, and yields a profit of $100. There are 1000 hours of labor and 500 hours of testing available. In addition, a marketing forecast has shown that the demand for the Super De- luxe is no more than 50 machines, demand for the Silver Ball Special no more than 80, and demand for Bumper King no more than 150. The manufacturer wants to determine the optimal production schedule that will maximize his total profit. Formulate this as a linear programming problem.

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