6. A television station is considering the sale of promotional videos. It can have the videos produce by one of two suppliers. Supplier A will charge the station a set-up fee of $1200 plus $2 for each DVD; supplier B has no set-up fee and will charge $4 per DVD. The station estimates its demand for the DVDs to be given by Q=1600-200P, where P is the price in dollars and Q is the number of DVDs. The equivalent price equation is P = 8-Q/200.

a. Suppose the station plans to give away the videos. How many DVDs should it order? From which supplier?

b. Suppose instead that the station seeks to maximize its profits from the sales of the DVSs. What price should it charge? How many DVDs should it order from which supplier? (Hint: Solve two separate problems, one with supplier A and one with supplier B and then compare profits. In each case, apply the MR = MC rule.)