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A company machines and drills two castings X and Y. The time required to machine and drill one casting including machine set - up time is as follows:
Casting
Machine Hours
Drilling Hours
X
4
2
Y
5
There are two lathes for machining and three drilling machines. The working week is of 40 hours ; there is no lost time and overtime. Variable costs for both castings are Rs120 per unit while total fixed costs amount to 1000 per week. The selling price of casting X is Rs 300 per unit and that of Y is360 per unit. There are no limitations on the number of X and Y casting that can be sold. The company wishes to maximize its profit. Formulate a linear programming model for the problem
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