Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 4X₁ + 4X2 +7X3 1X₁ +7x2 +4X3 ≤ 100 (C₁: hours on machine 1) 2X1 + 1X2 +7X3 ≤ 110 (C2: hours on machine 2) 8X₁ +4X2 + 1X3 ≤ 100 (C3: hours on machine 3) X1, X2, X3 ≥0 a) Using a computer software for solving LP, the optimal solution achieved is: X₁ = = 6.25 (round your response to two decimal places). = 5.11 (round your response to two decimal places). X3 9.48 (round your response to two decimal places). Contribution (objective value) = 111.86 (round your response to two decimal places). b) Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). Machine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).

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Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP
problem:
Maximize contribution =
4X₁ + 4X2 +7X3
1X₁ +7x2 +4X3 ≤ 100
(C₁: hours on machine 1)
2X1 + 1X2 +7X3 ≤ 110
(C2: hours on machine 2)
8X₁ +4X2 + 1X3 ≤ 100
(C3: hours on machine 3)
X1, X2, X3 ≥0
Transcribed Image Text:Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 4X₁ + 4X2 +7X3 1X₁ +7x2 +4X3 ≤ 100 (C₁: hours on machine 1) 2X1 + 1X2 +7X3 ≤ 110 (C2: hours on machine 2) 8X₁ +4X2 + 1X3 ≤ 100 (C3: hours on machine 3) X1, X2, X3 ≥0
a) Using a computer software for solving LP, the optimal solution achieved is:
X₁ =
= 6.25 (round your response to two decimal places).
= 5.11 (round your response to two decimal places).
X3 9.48 (round your response to two decimal places).
Contribution (objective value) = 111.86 (round your response to two decimal places).
b) Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
Machine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
Transcribed Image Text:a) Using a computer software for solving LP, the optimal solution achieved is: X₁ = = 6.25 (round your response to two decimal places). = 5.11 (round your response to two decimal places). X3 9.48 (round your response to two decimal places). Contribution (objective value) = 111.86 (round your response to two decimal places). b) Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). Machine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
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