Questions 3 Gotham Batman Company ships Bat-car from four factories(warehouse) to 3 retail stores on a monthly basis. Each warehouse has a fixed supply per month, and each store has a fixed demand per month. The manufacturer wants to know the number of cars to ship from each factory to each store in order to minimize the total cost. Each Factory(warehouse) has the following production of cars available for each month: Factory(warehouse) Supply (sets) 1. Joker 400 2. Penguin 260 3. Riddle 240 4. Sparrow 300 Each retail store has the following monthly demand for cars: Store Demand (sets) A. BATMAN 550 B. HADY 450 C. VENOM 150 a) Define decision variables. Your definition must include unit size & time frame. b) Develop the Objective Function. c) Find the constraints d) Use 'Excel - Solver' and find the optimal solution. (You must submit your excel work to get the full points.)