A community council must decide which recreation facilities to construct in its community. Four new recreation facilities have been proposed—a swimming pool, a tennis center, an athletic field, and a gymnasium. The council wants to construct facilities that will maximize the expected daily usage by the residents of the community, subject to land and cost limitations. The expected daily usage and cost and land requirements for each facility follow:
The community has a $140,000 construction budget and 14 acres of land. The tennis center is conditional upon construction of the swimming pool. The council wants to know which of the recreation facilities to construct to maximize the expected daily usage.
Recreation Facility Expected Usage (People/day) Cost (9) Land requirements
Swimming pool 300 35,000 4
Tennis Center 90 10,000 2
Athletic field 400 25,000 7
Gymnasium 150 90,000 3
After you formulate and solve this problem, which one of the following options is not correct:________.
A. The tennis center will not be chosen.
B. The swimming pool will be chosen.
C. The athletic field will be chosen.
D. The gymnasium not will be chosen.
E. The total daily usage will be 790 people.