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Fox Enterprises is considering six projects for possible construction over the next 4 years. Fox can undertake any of the projects partially or completely. A partial undertaking of a project will prorate both the return and cash outlays proportionately. The expected (present value) returns and cash outlays for the projects are given in the following
Cash Outlay ($1000)
Project
Year 1
Year 2
Year 3
Year 4
Return ($1000)
1
10.5
14.4
2.2
2.4
32.40
2
8.3
12.6
9.5
3.1
35.80
3
10.2
14.2
5.6
4.2
17.75
4
7.2
7.5
5.0
14.80
5
12.3
10.1
6.3
18.20
6
9.2
7.8
6.9
5.1
12.35
Available funds ($1000)
60.0
70.0
35.0
20.0
Formulate the problem as a linear program (identify your x values, state the objective function, identify your constraints), and determine the optimal project mix that maximizes the total return using Excel Solver. Ignore the time value of money.
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