Based on the given information answer the following questions: a) Formulate the integer programming model. b) Introduce slack/surplus/artificial variables and prepare LP model in a standard form.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 70P
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: Consider a capital budgeting example with five projects from which to
select. Let Xi = 1 if project i is selected, 0 if not, for i = 1,2,3, 4, 5. Projects cost are $100,
$200, $150, $75, and $300, respectively. Suppose that the budget is $450. Consider the
following requirements:
-Choose at least 3 projects,
-If project 3 is chosen, project 4 must not be chosen, and
-If project 1 is chosen, project 5 must not be chosen.
Based on the given information answer the following questions:
a) Formulate the integer programming model.
b) Introduce slack/surplus/artificial variables and prepare LP model in a standard form.
c) Use the standard form of LP given in part (b) to constract the initial simplex tableau and
fill in all cell values. (DO NOT SOLVE THE PROBLEM)
Transcribed Image Text:: Consider a capital budgeting example with five projects from which to select. Let Xi = 1 if project i is selected, 0 if not, for i = 1,2,3, 4, 5. Projects cost are $100, $200, $150, $75, and $300, respectively. Suppose that the budget is $450. Consider the following requirements: -Choose at least 3 projects, -If project 3 is chosen, project 4 must not be chosen, and -If project 1 is chosen, project 5 must not be chosen. Based on the given information answer the following questions: a) Formulate the integer programming model. b) Introduce slack/surplus/artificial variables and prepare LP model in a standard form. c) Use the standard form of LP given in part (b) to constract the initial simplex tableau and fill in all cell values. (DO NOT SOLVE THE PROBLEM)
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