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 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  | 4th Jun, 2014, 03:23: PM