6 A smallappliance manufacturer has plants in Baltimore and

6. A small-appliance manufacturer has plants in Baltimore and Philadelphia, each of which produces toasters and blenders. The Baltimore plant can produce at most 800 appliances in one day at a cost of $ 12 per toaster and $ 15 per blender. The Philadelphia plant can produce at most 500 appliances in one day at a cost of $ 10 per toaster and 520 per blender. A rush order is received for 600 toasters and 300 blenders. The manufacturer will choose the number of toasters and blenders produced at each plant, in order to minimize costs. What is the minimum cost?

Solution

Produce 300 in Baltimore because it is cheaper. This costs $4500. Toasters are cheaper in Philly so produce the max 500 there at a cost of $5000. Then the final 100 toasters need to be made in Baltimore for a cost of $1200. The total cost is $10700.