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

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) |
z = 0 |

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

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