2.) Formulate this problem as a transportation model.

A manufacturing firm is planning a three-month production schedule for a new product. From past production records the manager knows that 1,200 units can be produced per month. Also, an additional 400 units can be produced monthly on an overtime basis. The unit costs of items produced on a regular time basis is $50 and $60 on an overtime basis. The demands for the next three months are 1000, 1600 and 1400 Excess produetion may be stored at a cost of $5 per item per month. The manager wants to know the monthly production schedule that will minimize the total cost. Formulate this problem as a regular linear programmingi model based on. the material balance equation. (15 points)