Exhibit 3 A small town wants to build some new recreational facilities. The proposed facilities include a swimming pool, recreation center, basketball court and baseball field. The town council wants to provide the facilities which will be used by the most people, but faces budget and land limitations. The town has $400,000 and 14 acres of land. The daily usage and cost of the facilities (in $1,000) are shown below. Formulate the ILP for this problem. X; = 0, 1 Variable Facility Usage Cost ($1,000) Land (acres) X1 Swimming pool 400 100 2 X2 Recreation center 500 200 3 X3 Basketball court 300 150 4 X4 Baseball field 200 100 5 Refer to Exhibit 3. How do you best describe the town council's objective function? Max 2 X1 + 3 X2 + 4 X3 + 5 X4 ( Max 400 X1 + 500 X2 + 300 X3 + 200 X4 O Max X1 + X2 + X3 + X4 Max 100 X1 + 200 X2 + 150 X3 + 100 X4