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 2 projects. Projects 5 and 3 cannot both be selected together. Formulate the problem as a linear program and determine the optimal solution. Project Cost Net Present Value $255,000 $230,000 $270, 000 $250, 000 $260,000 $760,000 $670,000 1. $690,000 $620,000 3. 4. $780,000 Which projects should be selected? 3.

Financial Management: Theory & Practice
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ISBN:9781337909730
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Chapter10: The Basics Of Capital Budgeting: Evaluating Cash Flows
Section: Chapter Questions
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3.
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 2
projects. Projects 5 and 3 cannot both be selected together. Formulate the problem as a linear program and determine the optimal
solution.
Project
Cost
Net Present Value
$255,000
$760,000
$670,000
$690,000
$620,000
$780,000
$230,000
$270, 000
$250, 000
$260,000
Which projects should be selected?
Project 1 will
Project 2 will
Project 3 will
Project 4 will
Project 5 will
Transcribed Image Text:3. 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 2 projects. Projects 5 and 3 cannot both be selected together. Formulate the problem as a linear program and determine the optimal solution. Project Cost Net Present Value $255,000 $760,000 $670,000 $690,000 $620,000 $780,000 $230,000 $270, 000 $250, 000 $260,000 Which projects should be selected? Project 1 will Project 2 will Project 3 will Project 4 will Project 5 will
1
A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's
goal is to maximize the net present value of their decision while not spending more than their currently available capital.
Max 25x1 + 15x2 + 25x3+ 15x4
s.t 5x1 + 11x2 + 4x3 + 5x4 $ 11 (Constraint 1)}
X1+x2
X1 + x2 Ś 1 {Constraint 3}
X1 +x3 2 1{Constraint 4)
X2 = x4 {Constraint 5}
X4 2 2 {Constraint 2)
+
+
X3
S1, if location jis selected
0, otherwise
Solve this problem to optimality and answer the following questions:
a. Which of the warehouse locations will/will not be selected?
Location 1 will
Location 2 will
Location 3 will
Location 4 will
Transcribed Image Text:1 A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital. Max 25x1 + 15x2 + 25x3+ 15x4 s.t 5x1 + 11x2 + 4x3 + 5x4 $ 11 (Constraint 1)} X1+x2 X1 + x2 Ś 1 {Constraint 3} X1 +x3 2 1{Constraint 4) X2 = x4 {Constraint 5} X4 2 2 {Constraint 2) + + X3 S1, if location jis selected 0, otherwise Solve this problem to optimality and answer the following questions: a. Which of the warehouse locations will/will not be selected? Location 1 will Location 2 will Location 3 will Location 4 will
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