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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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