Two Factories Produce Three Different Types of Kitchen Appliances

Two factories produce three different types of kitchen appliances. The following table summarizes the production capacities, the numbers of each type of appliance ordered, and the daily operating costs for the factories. How many days should each factory operate to fill the orders at minimum cost? Find the minimum cost. ​

A) Minimum cost of $245,000 using 20 days at Factory 1 and 0 days at Factory 2.
B) Minimum cost of $612,500 using 50 days at Factory 1 and 0 days at Factory 2.
C) Minimum cost of $1,002,500 using 10 days at Factory 1 and 40 days at Factory 2.
D) Minimum cost of $807,500 using 30 days at Factory 1 and 20 days at Factory 2.
E) Minimum cost of $465,500 using 38 days at Factory 1 and 0 days at Factory 2.