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A manufacture produces two types of soap bars using two machines, A and B.A is operated for 2 minutes and B for 3 minutes to manufacture the first type, while it takes 3 minutes on machine A and 5 minutes on machine B to manufacture the second type. Each machine can be operated at the most for 8 hours per day. The two types of soap bars are sold at a profit of R. 0.25 and Rs 0.50 each. Assuming that the manufacture can sell all the soap bars he can manufacture, hwo many bars of soap of each type should be manufactured per day so as to maximize his profit ?

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Solution :MAXIMUM`P=X/4+y/2"SUBJECT to" x ge 0,yge0,2x+3yle480and 3x+5yle480.`


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