Consider a dyadic SC with one manufacturer (M) and one retailer (R), specializing in the manufacturing and sales of a differentiated product; call it ABC. The annual market demand for ABC, solely supplied by this SC, is estimated as , where is the purchase price. It costs M $2 to manufacture one unit of ABC.

Currently, M wholesales, and R retails ABC at a unit price of $3.5, and $5.5, respectively. Calculate the profit for, M, R, and the SC.

As in part a), assume M and R are decentralized. Determine the optimal wholesale and optimal retail price. Accordingly, calculate the profits for M, R, and the SC. Are your results for part b) better than a)?

Suppose M and R have vertically integrated. Determine the optimal selling price and the total profit. Compared to your results in part b), calculate the percent change in total demand supplied and the percent change in total SC profit.

Now, suppose M and R have vertically integrated. Determine the optimal selling price and the total profit. Compared to your results in part b), calculate the percent change in total demand supplied and the percent change in total SC profit.