The Bay City Parks and Recreation Department has received a federal grant of $600,000 to expand its public recreation facilities. City council representatives have demanded four differ- ent types of facilities?gymnasiums, athletic fields, tennis courts, and swimming pools. In fact, the demand by various communities in the city has been for 7 gyms, 10 athletic fields, 8 tennis courts, and 12 swimming pools. Each facility costs a certain amount, requires a certain number

of acres, and is expected to be used a certain amount, as follows:

Facility Cost (dollars) Required Acres Expected Usage (people/week) Gymnasium 80,000 1,500 Athletic field 24,000 8 3,000 Tennis court 15,000 3 500 Swimming pool 40,000 5 1,000