A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of Model B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 9000 on each piece of model A and Rs 11000 on each piece of Model B.How many pieces of Model A and Model B should be manufactured per week to realise a maximum profit?
Corner Point | Z = 9000x+11000y |
A(0, 10) | 110000 |
O(0, 0) | 0 |
B(20, 0) | 180000 |
C(12, 6) | 174000 |