Formulate a linear programming problem that can be used to solve the following question. A firm has plants in Boston and Baltimore that manufacture three models of hot tubs: regular, fancy, and super. In one day the Boston plant can manufacture 20 of the regular model, 20 of the fancy model, and 13 of the super model, and costs $1500 per day to operate, whereas the Baltimore plant can manufacture 12 of the regular model, 16 of the fancy model, and 36 of the super model, and costs $5000 per day to operate. At least 276 of the regular model, 348 of the fancy model, and 559 of the super model are needed. How many days must each plant operate in order to minimize the cost? number of days the Boston plant operates number of days the Baltimore plant operates Minimize F= x = y = Subject to x 2 0, y z # 0 (objective function) (regular models) (fancy models) (super models)