4) (25pts) Expected demand for vinegar (in number of barrels) at a market is given in the table below. Month Demand 1 2 3 4 5 120 80 100 90 70 Determine the optimal purchasing quantities for months 1, 2, 3, 4, and 5. Each barrel has a unit cost of 200 liras. Fixed order cost is 1200 liras. Inventory holding cost is 10 liras per barrel per month. Shortages or backorders are not allowed. Exactly state the optimal values of P1, P2, P3, P4, and P5. What is the cost of the optimal solution.