In: Advanced Math
A company owns two factories A and B that produce 3 different types of appliances dishwashers, refrigerators and ovens. Each day factory A operates it produces 80 dishwashers, 10 refrigerators and 50 ovens at a cost of $10,000 per day. Each day factory B operates it produces 20 dishwashers, 10 refrigerators and 20 ovens at a cost of $20,000 per day. The company has to fill an order of at least 1600 dishwashers, 500 refrigerators and 1900 ovens. How many days should they operate each factory to fill the orders and minimize cost? What is the minimum cost?
We model this problem to a linear programming problem and then solve it accordingly using the graphical Method.