A consumer product company makes two types of dishwasher detergents: regular and concentrate. The company has two manufacturing facilities for making detergent products. The first facility has an operating cost of $120.0 an hour and can produce 300 ounces of regular detergent products per hour and 220 ounces of concentrate detergent per hour. The second facility has an hourly operating cost of $222.5 and produces 350 ounces of regular detergent and 450 ounces of concentrate detergent per hour. The company received wholesale orders totaling 4,500 ounces of regular detergent and 5,200 ounces of concentrate detergent.


a. Formulate and solve the LP model that minimizes costs given the constraints. How many hours should the company operate each facility in order to fulfill the orders and minimize the operating cost? (Round your answers to 2 decimal places.)