(Inventory problem) Max.Jump LLC plans the monthly trampoline production quantities for the next quarter. Presently, MaxJump has an inventory of 20 tram- polines. During each month, MaxJump can manufacture up to 150 trampolines using regular-time labor. The demand and cost of production using regular-time labor during the three months is given below January February March Demand 110 120 130 Cost 50 60 40 In addition, Max Jump can manufacture more trampolines, costing 25% per unit with overtime labor. A per unit inventory cost of $10 per unit is charged at the end of each month. The warehouse can fit up to 25 trampolines. MaxJump's man- agement wants to develop a plan to minimize the total production and inventory costs for the quarter. (a) Formulate an LP in parameterized form. (b) Assume you pay a monthly 2% interest on cost incurred each month. Rewrite the objective to account for interest payments to minimize the total cost at the end of the planning horizon