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1) A company manufactures two products, X and Y by using three machines A, B, and C. The availability of Machine A is 5 hours
1) A company manufactures two products, X and Y by using three machines A, B, and C. The availability of Machine A is 5 hours during the coming week. Similarly, the availability of machines B and C during the coming week is 25 hours and 36 hours, respectively. One unit of product X requires one hour of Machine A, 4 hours of machine B and 10 hours of machine C. Similarly one unit of product Y requires 1 hour, 8 hours and 7 hours of machine A, B and C respectively. When one unit of X is sold in the market, it yields a profit of 4 SAR and that of Y is 8 SAR per unit. Formulate the problem mathematically. Thereafter, find the optimal product mix using each of the following methods a. Graphical method. b. Tora software (If having a Windows machine). c. Excel software
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