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# A company manufactures two types of souveniers. Souvenier of type A requires 5 minutes each for cutting and 10 minutes each for assembling souvenier B requires 8 minutes each of cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit is Rs 5 each for type A and Rs 6 each for type B souvenier. How many souvenier of each type should the company manufactures in order to maximize the profit.

Asked by Topperlearning User 4th June 2014, 1:23 PM

Let x souveniers of type A and y souveniers of type B are manufactured we have LPP as
Maximise z = 5x + 6y
st 5x + 8y  200
10x + 8y  240 or 5x + 4y  120
x  0, y  0

 Corner Point z = 5x + 6y O(0, 0) A(24, 0) B(8, 20) C(0, 25) z = 0 z = 120 z = 160 z = 150

Profit is maximum when souveniers of type A and 20 souveniers of type B are manufactured max profit = Rs 160

Answered by Expert 4th June 2014, 3:23 PM
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