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?

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Number Ordered Factory 2 20/day 10/day 20/day Factory 1 80/day 10/day Appliance 1 Appliance 2 Appliance 3 Daily cost 1600 500 1900 50/day $10,000 $20,000