Please do not use excel and show all work. Thank you!

dentified areas of the city. There are four potential substations: A,B,C, and D and even areas to be covered: 1,2, 3, 4, 5, 6, 7 . Sse binary variables as follows: Yij=1 if substation i covers area j : for example, YA5= if substation A covers area 5, otherwise YA5=0. Subscripts are not needed in your nswers. For example, you can use YA5 in place of YA5. rovide constraints corresponding to the following conditions: 1. (6p) Area 3 can be covered by at most two substations. 2. (6p) Substation B must cover at least four areas 3. (6p) If substation A covers area 6 then substation D must cover area 3 4. (6p) Substation A must cover a number of areas that is less than or equal to 75% of the number of areas covered by substation D 5. (6p) Assume a fixed cost of $100,000 for opening substation A. Provide an objective function term and constraint or constraints for incurring this cost if substation A is open. Hint: Substation A must be open if it covers any area. 6. (6p) Assume that an administrative cost of $200,000 must be incurred in any substation is open. This cost is a one-time general cost for Grave City and it is not repeated for each open substation. Provide an objective function term and constraint or constraints for incurring this cost if substation A is open. Hint: This cost is incurred if any fixed cost is incurred. PROVIDE NEAT ANSWERS on paper or D2L upload or just type in your answers in the space here