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Boilermakers, Inc. produces 3 products: A, B, and C. The unit prices of product A, B, and C are $5, $50 and $200, respectively. Assume that these products can be sold in unlimited quantities. We further have the following production requirements: 1) Producing one unit of product A requires 3 hours of labor. 2) Producing one unit of product B requires 9 hours of labor plus 4 units of A. 3) Producing one unit of product C requires 18 hours of labor, 2 units of A, and 3 units of B. In addition, any units of product A used to produce product B or product C cannot be sold, and any units of product B used to produce product C cannot be sold. A total of 120 hours of labor are available. Formulate a linear program to maximize revenue. You may assume that fractional solutions are acceptable. A = number of units of products A produced. B = number of units of products B produced. C = number of units of products C produced. X = number of units of products A sold. Y = number of units of products B sold. Z = number of units of products C sold
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