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Spencer Enterprises is attempting to choose among a series of new investment alternatives. The potential investment alternatives, the net present value of the future stream

Spencer Enterprises is attempting to choose among a series of new investment alternatives. The potential investment alternatives, the net present value of the future stream of returns, the capital requirements, and the available capital funds over the next three years are summarized as follows:

Capital Requirements ($)

Alternative

Net Present Value ($)

Year 1

Year 2

Year 3

Limited warehouse expansion

4,000

3,000

1,000

4,000

Extensive warehouse expansion

6,000

2,500

3,500

3,500

Test market new product

10,500

6,000

4,000

5,000

Advertising campaign

4,000

2,000

1,500

1,800

Basic research

8,000

5,000

1,000

4,000

Purchase new equipment

3,000

1,000

500

900

Capital funds available

10,500

7,000

8,750

(a)

Develop and solve an integer programming model for maximizing the net present value.

Max

x1

+

x2

+

x3

+

x4

+

x5

+

x6

s.t.

x1

+

x2

+

x3

+

x4

+

x5

+

x6

Year 1

x1

+

x2

+

x3

+

x4

+

x5

+

x6

Year 2

x1

+

x2

+

x3

+

x4

+

x5

+

x6

Year 3

x1, x2, x3, x4, x5, x6

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