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An investor has $1,200,000 to invest and wants to maximize the money they will receive at the end of one year. They can invest in

An investor has $1,200,000 to invest and wants to maximize the money they will receive at the end of one year. They can invest in condos, apartments and houses. The profit after one year, the cost and the number of units available are shown below.

Variable

Investment

Profit ($1,000)

Cost ($1,000)

Number Available

X1

Condos

6

50

30

X2

Apartments

12

90

16

X3

Houses

9

100

12

The mathematical formulation of this ILP problem is given below:

MAX:6 X1 + 12 X2 + 9 X3

Subject to:

50X1 + 90 X2 + 100 X3 1200

X1 30

X2 16

X3 12

Xi 0 and integer

Use Solver to find the optimal solution of this ILP problem

(X1, X2, X3)=(1, 5, 0)

(X1, X2, X3)=(3, 6, 0)

(X1, X2, X3)=(8, 0, 0)

(X1, X2, X3)=(2, 12, 0)

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