Super Airtech Corp. manufactures jet engines. They need to plan the fulfillment of orders for the next four months. Due to variances in labor and raw materials, their production capacity differ each month, specifically they estimate that they can produce 75, 200, 350, and 225 units in the next four months, respectively. Meanwhile, demand in the next four months are expected to be 120, 180, 450, and 100 units. Super Airtech has the option to produce to stock, which will incur inventory costs of $1000 per unit per month. If needed, Super Airtech can also produce to satisfy the demand in previous months. However, this will incur backorder costs of $2500 per unit per month. Determine the optimal production schedule that would minimize total costs. A. Present the initial solution using Vogel's Approximation Method. B. Use MODI (Modified Distribution Method) to find the optimal solution.