Your employer is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed below. The capital budget available is $1 million. In addition to spending constraints, your employer would like to select at least 3 projects. Projects 3 and 5 cannot both be selected together. Formulate the problem as a linear program and determine the optimal solution. Project Cost Net Present Value $250,000 $245,000 $290,000 $600,000 $410,000 $780,000 $480,000 $570,000 3 $280, 000 $245,000 Which projects should be selected? Project 1 will

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 45P
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Your employer is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed
below. The capital budget available is $1 million. In addition to spending constraints, your employer would like to select at least 3
projects. Projects 3 and 5 cannot both be selected together. Formulate the problem as a linear program and determine the optimal
solution.
Project
Cost
Net Present Value
$250,000
$245,000
$290,000
$280,000
$245,000
$600,000
$410,000
$780,000
$480,000
$570,000
2
4
5.
Which projects should be selected?
Project 1 will
Project 2 will
Project 3 will
Project 4 will
Project 5 will
What is the total net present value of these projects?
Total net present value
Transcribed Image Text:Your employer is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed below. The capital budget available is $1 million. In addition to spending constraints, your employer would like to select at least 3 projects. Projects 3 and 5 cannot both be selected together. Formulate the problem as a linear program and determine the optimal solution. Project Cost Net Present Value $250,000 $245,000 $290,000 $280,000 $245,000 $600,000 $410,000 $780,000 $480,000 $570,000 2 4 5. Which projects should be selected? Project 1 will Project 2 will Project 3 will Project 4 will Project 5 will What is the total net present value of these projects? Total net present value
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