A company produces two products A and B over the next three months. The demand of both the products as well as the company's production capacity (in hrs) varies each month The production rates in units per hour are 0.75 and 1 for products A and B, respectively. All demands must be met; however the company can produce more in earlier months to fill the demand of later months. The holding costs per unit per month are $0.90 and $0.70 for products A and B, respectively. The unit production cost for the two products are $30 and $28 for products A and B, respectively. Formulate the LP problem that can generate the optimum production schedule.