A manufacturing company makes two models M1 and M2 of a product. Each piece of M1 requires 9 labour hours for fabricating and one labour hour for finishing. Each piece of M2 require 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. 800 on each piece of M1 and Rs.1200 on each piece of M2

The above Linear Programming Problem [LPP] is given by

1

Maximize Z = 800x + 1200y

Subject to constraints,

3x + 4y ≤ 60

x + 3y ≤ 30

x, y ≥ 0

2

Maximize Z = 800x + 1200y

Subject to constraints,

3x + 4y ≥ 60

x + 3y ≥ 30

x, y ≥ 0

3

Maximize Z = 800x + 1200y

Subject to constraints,

3x + 4y ≤ 60

x + 3y ≥ 30

x, y ≥ 0

4

Maximize Z = 800x + 1200y

Subject to constraints,

3x + 4y ≥ 60

x + 3y ≤ 30

x, y ≥ 0

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