Question
Filip Financial Services must choose among a set of new investment alternatives. The potential alternatives, their net present values based on projected future returns, and
Filip Financial Services must choose among a set of new investment alternatives. The potential alternatives, their net present values based on projected future returns, and their capital requirements over the next three years are given in the table below.
Alternative | Net Present Value | Capital Requirements Year 1 Year 2 Year 3 | ||
Limited Expansion | $30,000 | $5,000 | $3,000 | $4,000 |
Extensive Expansion | $80,000 | $8,000 | $2,000 | $3,000 |
Advertising Campaign | $70,000 | $7,000 | $3,000 | $5,000 |
Purchase New Equipment | $20,000 | $10,000 | $4,000 | $2,000 |
Add a Second Shift | $100,000 | $6,000 | $1,000 | $1,000 |
Add Personnel | $64,000 | $3,000 | $2,000 | $1,000 |
Test Market New Product | $50,000 | $6,000 | $8,000 | $10,000 |
Research and Development | $40,000 | $4,000 | $4,000 | $4,000 |
Capital Funds Available |
| $20,000 | $18,000 | $24,000 |
Filip will undertake at most one of the expansion alternatives. And the two alternatives to Add a Second Shift and to Add Personal are co-requisites (meaning they must either do both or neither.) Develop an integer programming model that will allow Filip Financial to select the set of investment alternatives that will maximize their net present value.
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