Pregunta: A company is contracted to manufacture two products, A and B during the months of June, July and August. The total production capacity (expressed in hours) varies monthly. The following table provides the basic data for the situation: June July August Demand of A ( units) 500 5000 5000 750 Demand of B ( units) 1000 1200 1200 Capacity (h)

A company is contracted to manufacture two products, A and B during the months of June, July and August. The total production capacity (expressed in hours) varies monthly. The following table provides the basic data for the situation:
June July August
Demand of A ( units) 500 5000 5000 750
Demand of B ( units) 1000 1200 1200
Capacity (h) 3000 3500 3000

The hourly production rates are 0.75 and 1 for products A and B respectively. All demand must be satisfied. However, that of a later month can be satisfied by the production of an earlier one. For any e products A and B saved from one month to the next, the holding costs are $.90 and $.75 per unit, respectively. The unit production costs of the two products A and B are $30 and $28 respectively. Develop a PL model to determine the optimal production schedule for the two products and determine the optimal solution with AMPL, solver or tora.