The city council of Fayetteville is in the process of approving the construction of a new 200,000-ft² convention center. Two sites have been proposed, and both require exercising the “eminent domain” law to acquire the property. The following table provides data about proposed (contiguous) properties in both sites together with the acquisition cost.

Partial acquisition of property is allowed. At least 75% of property 4 must be acquired if site 1 is selected, and at least 50% of property 3 must be acquired if site 2 is selected. Although site 1 property is more expensive (on a per ft² basis), the construction cost is less than at site 2, because the infrastructure at site 1 is in a much better shape. Construction cost is $25 million at site 1 and $27 million at site 2. Which site should be selected, and what properties should be acquired? Find the solution using AMPL, Solver, or TORA.

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Property Area (1000 ft²) 1 2 345 Site 1 20 50 50 30 60 Cost ($1000) 1000 2100 2350 1850 2950 Site 2 Area (1000 ft²) 80 60 50 70 Cost ($1000) 2800 1900 2800 2500