Maximize contribution = 4X₁ + 4x2 +7X3 1X₁ +7X2+4X3 ≤ 80 2X1 + 1X2 +7X3 ≤ 84 8X1 +4X2 + 1X3 ≤ 80 (C₁ hours on machine 1) (C2: hours on machine 2) (C3: hours on machine 3) X1, X2, X3 20 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). ontribution (objective value) = 111.86 (round your response to two decimal places). O Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). lachine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). lachine 3 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). Machine 3 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). c) An additional hour of time available for third machine, is worth dollars to the firm (round your response to two decimal places).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 68P
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Answer Part C please

Maximize contribution =
4X₁ + 4x2 +7X3
1X₁ +7X2+4X3 ≤ 80
2X1 + 1X2 +7X3 ≤ 84
8X1 +4X2 + 1X3 ≤ 80
(C₁ hours on machine 1)
(C2: hours on machine 2)
(C3: hours on machine 3)
X1, X2, X3 20
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).
ontribution (objective value) = 111.86 (round your response to two decimal places).
O Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
lachine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
lachine 3 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
Transcribed Image Text:Maximize contribution = 4X₁ + 4x2 +7X3 1X₁ +7X2+4X3 ≤ 80 2X1 + 1X2 +7X3 ≤ 84 8X1 +4X2 + 1X3 ≤ 80 (C₁ hours on machine 1) (C2: hours on machine 2) (C3: hours on machine 3) X1, X2, X3 20 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). ontribution (objective value) = 111.86 (round your response to two decimal places). O Machine 1 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). lachine 2 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). lachine 3 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
Machine 3 has 0 hours of unused time available at the optimal solution (round your response to two decimal places).
c) An additional hour of time available for third machine, is worth dollars to the firm (round your response to two decimal places).
Transcribed Image Text:Machine 3 has 0 hours of unused time available at the optimal solution (round your response to two decimal places). c) An additional hour of time available for third machine, is worth dollars to the firm (round your response to two decimal places).
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