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CUET UG Math 19 Jun 2023 Paper

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Question : 49

Total: 50

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

Maximize Z = 800x + 1200y
Subject to constraints,
3x + 4y ≤ 60
x + 3y ≤ 30
x, y ≥ 0
Maximize Z = 800x + 1200y
Subject to constraints,
3x + 4y ≥ 60
x + 3y ≥ 30
x, y ≥ 0
Maximize Z = 800x + 1200y
Subject to constraints,
3x + 4y ≤ 60
x + 3y ≥ 30
x, y ≥ 0
Maximize Z = 800x + 1200y
Subject to constraints,
3x + 4y ≥ 60
x + 3y ≤ 30
x, y ≥ 0

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