Q1. Consider a capital budgeting example with 6 projects from which to select. Let x₁ = 1 if project i is selected, 0 if not, for i = 1, 2, 3, 4, 5, 6. Projects cost $100, $200, $150, $75, $225, and $300 respectively. The budget is $450. Write the appropriate constraint for the following condition: Choose no fewer than 3 projects. ● ● Write the appropriate constraint for the following condition: If project 3 is chosen, project 4 must be chosen. Write the appropriate constraint for the following condition: If project 1 is chosen, project 5 must not be chosen.

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Q1. Consider a capital budgeting example with 6 projects from which to select. Let x₁ = 1 if project i is selected, 0 if not,
for i= 1, 2, 3, 4, 5, 6. Projects cost $100, $200, $150, $75, $225, and $300 respectively. The budget is $450.
Write the appropriate constraint for the following condition: Choose no fewer than 3 projects.
●
●
Write the appropriate constraint for the following condition: If project 3 is chosen, project 4 must be chosen.
Write the appropriate constraint for the following condition: If project 1 is chosen, project 5 must not be
chosen.
Projects 3 and 4 are mutually exclusive (i.e., cannot be selected jointly) and so are 5 and 6.
At least two and at most four projects have to be undertaken from the set {1,2,3,5}
Transcribed Image Text:Q1. Consider a capital budgeting example with 6 projects from which to select. Let x₁ = 1 if project i is selected, 0 if not, for i= 1, 2, 3, 4, 5, 6. Projects cost $100, $200, $150, $75, $225, and $300 respectively. The budget is $450. Write the appropriate constraint for the following condition: Choose no fewer than 3 projects. ● ● Write the appropriate constraint for the following condition: If project 3 is chosen, project 4 must be chosen. Write the appropriate constraint for the following condition: If project 1 is chosen, project 5 must not be chosen. Projects 3 and 4 are mutually exclusive (i.e., cannot be selected jointly) and so are 5 and 6. At least two and at most four projects have to be undertaken from the set {1,2,3,5}
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