Two products are manufactured in a machining center. The production times per unit of products 1 and 2 are 10 and 12 minutes, respectively. The total regular machine time is 2400 minutes per day. The daily production is between 150 and 200 units of product 1 and no more than 45 units of product 2. Overtime may be used to meet the demand at an additional cost of $1 per minute. Assuming that the unit profits for products 1 and 2 are $12 and $15, respectively, formulate the problem as an LP model, and then solve with TORA, Solver, or AMPL to determine the optimum production level for each product as well as any overtime needed in the center.