Phillips Industries manufactures a certain product that can be sold directly to retail outlets or to the Superior Company for further processing and eventual sale as a completely different product. The demand function for each of these markets is
Retail Outlets: P = 60 - 2Q
Superior Company: P = 40 - Q
Where P and P are the prices charged and Q and Q are the quantities sold in the respective markets. Phillips's total cost function for the manufacturers of this product is
TC= 10 + 8(Q +Q )
a. Determine Phillips's total profit function