Jobco is planning to produce at least 2000 widgets on three machines. The minimum lot size on any machine is 600 widgets. The following table gives the pertinent data of the situation. Machine Setup cost($) Production cost/unit($) Capacity (units) 1 300 2 650 100 10 850 3 200 5 1250 If we want to formulate the problem as an ILP/BIP, which of the following would be the appropriate objective function? Your answer: 4 O Min. Z = 300x₂ +100x₂ + 200x3 + 2x₁ + 10x₂ + 5x O Min. Z = 2x₁ + 10x₂ + 5x Min. Z = 2x₁ + 10x2 + 5x3 + 300y₁ +100y₂ + 200³ + Min. Z = 300y₁ + 100y₂ + 2003 O 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 40E
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Jobco is planning to produce at least 2000 widgets on three machines. The minimum lot size on any machine is 600 widgets. The following table gives the pertinent data of the situation.
Machine
Setup cost($)
Production cost/unit($)
Capacity (units)
1
300
2
650
2
100
10
850
3
200
5
1250
If we want to formulate the problem as an ILP/BIP, which of the following would be the appropriate objective function?
Your answer:
h
O
Min. Z = 300x₁ + 100x₂ + 200x3 + 2x₁ + 10x₂ + 5x3
O
Min. Z = 2x₁ + 10x2 + 5x3
Min. Z = 2x₁ + 10x2 + 5x3 + 300y₁ + 100y2 + 2003 +
Min. Z = 300y₁ + 100y2 + 2003
O
Transcribed Image Text:Jobco is planning to produce at least 2000 widgets on three machines. The minimum lot size on any machine is 600 widgets. The following table gives the pertinent data of the situation. Machine Setup cost($) Production cost/unit($) Capacity (units) 1 300 2 650 2 100 10 850 3 200 5 1250 If we want to formulate the problem as an ILP/BIP, which of the following would be the appropriate objective function? Your answer: h O Min. Z = 300x₁ + 100x₂ + 200x3 + 2x₁ + 10x₂ + 5x3 O Min. Z = 2x₁ + 10x2 + 5x3 Min. Z = 2x₁ + 10x2 + 5x3 + 300y₁ + 100y2 + 2003 + Min. Z = 300y₁ + 100y2 + 2003 O
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