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2. (5+15+10+10 points) Vaultex Fibers, Inc. (VFI) produces a line of sweat-cloths that exhibits a varying dernand pattern. VFI uses overtime, inventory, and subcontracting to absorb fluctuation in demand. An Aggregate Production Plan (APP) is devised for every four-month and updated monthly. Cost date, Demand must be satisfied in the period it occurs (i.e. nn four months are given in the followina table. The 1. What is the cost of this production plan? At the end of April, due to demand fluctuation in the month of April, 170 sweat-cloths are sold. Forecasted demands for next four months are: 150, 130, 200, and 300 , respectively. The regular, overtime, and sub-contract capacities remain same as: 100,50, and 10-50 units. (Associated costs remain unchanged, too.) 2. Re-design a production plan that will satisfy demand at minimum cost. 3. What is the cost of this production plan? 4. Due to the trend of demand, VFI wants to have ending inventory of 50 at the end of August. Is it possible to incorporate this extra demand? If not possible, list at least two steps VFI should take to satisfy the ending inventory demand (in the production manager's point of view). If possible, then what must be the effect on the cost of production