The city of Fayetteville is embarking on an urban renewal project that will include lowerand middle-income row housing, upper-income luxury apartments, and public housing.

The project also includes a public elementary school and retail facilities. The size of the elementary school (number of classrooms) is proportional to the number of pupils, and the retail space is proportional to the number of housing units. The following table provides the pertinent data of the situation:

Lower income Middle income Upper income Public housing School room Retail unit Minimum number of units 100 125 75 300 0 Maximum number of units 200 190 260 600 25 Lot size per unit (acre) .05 .07 .03 .025 .045 .1 Average number of pupils per unit 1.3 1.2 .5 1.4 Retail demand per unit (acre) .023 .034 .046 .023 .034 Annual income per unit ($) 7,000 12,000 20,000 5,000 — 15,000 The new school can occupy a maximum of 2 acres. Class size is limited to 25 students per room. The operating annual cost per schoolroom is $10,000. The project will be located on a 50-acre vacant property owned by the city. Additionally, the project can make use of an adjacent property occupied by 200 condemned slum homes. Each condemned home occupies .25 acre. The cost of buying and demolishing a slum unit is $7000. Open space, streets, and parking lots consume 15% of total available land.

Develop a linear program to determine the optimum plan for the project, and find the solution using AMPL, Solver, or TORA.