5) Gehaz Madinet Zayed is developing a new project in (hezam akhdar region) that will include High, middle class and lower income apartments, as well as public housing. The project also includes a public elementary school and stores. The size of the elementary school (number of classrooms) is proportional to the number of children, and the stores' space is proportional to the number of units. The school needs a maximum space of 2 acres for a max 25 child per room. The operating annual cost per school room is $10,000. The project will be located on a 50-acre vacant property. Open space, streets, and parking lots consume 15% of total available land. The following table provides the relevant data: Size / Min. Max. Child Retail Annual unit Cap. Cap. / unit Demand Income (acre) /unit S/unit High class 0.05 100 200 1.3 0.023 7,000 Mid class 0.07 125 190 0.034 12,000 Low. Inc. 0.03 75 260 0.5 0.046 20.000 Public Hs 0.025 300 600 1.4 0.023 5,000 School room 0.045 0.034 Retail unit 0.1 0 25 15,000 Formulate a linear program to determine the optimum plan for the project. 1.2