a=5 , b=5 , c=5 , d=6 (Solve on paper please)

3) 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: Recreation Facility Cost Expected Usage (people/day) 5*a*b*c Land Requirements (acres) 500*a*b a 7*d*b 1000*b b Swimming Pool Tennis Center Athletic Field Gymnasium 750*a*b*c*d 8*a*b 9*a 800*a*b*c d The community has a $10000*a*b construction budget and a*b acres of land. In addition, community council should consider the following issues when deciding: * Either the athletic field or the gymnasium must be built, but not both. * Exactly two of the four facilities must be built. If the tennis center is selected, the swimming pool must also be selected and vice versa. * If the gymnasium is selected, then the tennis center and the athletic field cannot be selected together, only one of the two can be selected. The council wants to know which of the recreation facilities to construct to maximize the expected daily usage. Formulate a 0-1 integer programming model for this problem. (30 Points)