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CBSE Class 12-science Answered

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 | 04 Jun, 2014, 01:23: PM

Expert Answer

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 | 04 Jun, 2014, 03:23: PM

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