3. Production Planning. Directeo sells an item whose demands over the next 4 months are 100,140,210, and 180 units, respectively. The company can stock just enough supply to meet each month's demand, or it can overstock to meet the demand for two or more successive and consecutive months. In the latter case, a holding cost of $1.20 is charged per overstocked unit per month. Directeo estimates the unit purchase prices for the next 4 months to be $15, $12, $10, and $14, respectively. A selup cost of $200 is incurred each time a purchase order is placed. The company wants to develop a purchasing plan that will minimize the total costs of ordering, purchasing, and holding the item in stock.

Formulate the problem as a shortest-route model, and use TORA to find the optimum solution.