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A firm manufactures two types of products, A and B, and sells them at a prodit of Rs.5 per unit of type A and Rs.3 per unit of type B.Each product is processed on two machines, M_(1)and M_(2). One unit of type A requires one minute of processing time on M_(1) and one minute on M_(2). Machines M_(1) and M_(2). are respectively available for at most 5 hours and 6 hours in a day. Find out how many units of each type of product the fiem should produce a day in order to maximize the profit. Solve the prolem graphically.

Answer»


Solution :Let X units of the type A and y units of the type BBE produced. Then, `x_(1)+x_(2)le300,3x_(1)+x_(2)le360,x_(1)ge0and x_(2)GE0.` Maximize `Z=5x+3y.`


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