A manufacturer produces an item in two different plants. The cost function for each plant is given by
TC(Q1:= Q3-15Q2+120Q1+200
TC(Q2:= 2Q3-25Q2+160Q2+400
If the market demand for the firm's product is given by
P = 500 - 6Q
find the profit maximizing level of output at each plant and price. What is the firm's profit?2