Manufacturer has two factories, located in Toronto and Winnipeg. Warehouses are located in Moncton, Montreal, and Calgary. Minimum requirements at the three warehouses are for at least 5 000, 8 000, and 7 000 units, respectively. The production capacities of the two factories are 9 000 and 13 000 units, respectively. Shipping costs per unit from each factory to each warehouse are given below: WAREHOUSE Moncton Montreal Calgary Toronto Sh.20 Sh.16 Sh.24 FACTORY Winnipeg Sh.29 Sh.6 Sh.9 Required The manufacturer wants to determine the optimal shipping schedule that will minimize transportation costs. Required i. ii. Formulate the linear programming model for this problem. [4 Marks] Generate initial solution using Vogel's Approximation Method and the Least Cost Method [6 Marks] Test the solution for optimality generated using the stepping stone Method [ 10 Marks]