4. 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:

IV iing s1.

Lower Middle Upper Public income income income housing Minimum number of units 100 125 75 300 Maximum number of units 200 190 260 600 Lot size per unit (acre) .05 .07 .03 .025 Average number of pupils per unil 1.3 1.2 .5 1.4 Retail demand per unit (acre) .023 .034 .046 .023 Annual income per unit($) 7000 12,000 20,000 5000 School Retail room unit o

2S

.045 .1

.034 15,000

!red ted.

The new school can occupy a maximum space of 2 acres at the rate of at most 25 pupils per room. TIle operating annual cost per school room 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.