The Current Manager of a Small Bicycle Shop Estimates the Demand

Essay

The current manager of a small bicycle shop estimates the demand curve for a child's starter bike to be: P = 80 - 2Q. Costs are given by: C = 200 + 20Q. The former owner of the shop (now retired) urges the manager to keep prices low so as to increase sales and maximize revenue. (The shop pays the former owner 5% of each dollar of earned revenue). If current management follows the former owner's goal, what sales output and price should it set? What strategy would you recommend to maximize profits?