Chapter 4.4, Problem 21E

Production scheduling CDF Appliances has assembly plants in Atlanta and Fort Worth where it produces a variety of kitchen appliances, including a 12-cup coffee- maker and a cappuccino machine. In each hour at the Atlanta plant, 160 of the coffeemakers and 200 of the cappuccino machines can be assembled, and the hourly cost is $700. In each hour at the Fort Worth plant, 800 of the coffeemakers and 200 of the cappuccino machines can be assembled, and the hourly cost is $2100. CDF Appliances expects orders each week for at least 64,000 of the coffeemakers and at least 40,000 of the cappuccino machines. How many hours per week should each plant be operated to provide inventory for the orders at minimum cost? Find the minimum cost.