Text Box: Estimating Sensitivity of Demand to Price at Links

The Links Company sells its golf clubs at golf outlet stores throughout the United States. The company knows that demand for its clubs varies considerably with price. In fact, the price has varied over the past 12 months, and the demand at each price level has been observed. For example, during the last month, when the price was $390, 68,000 sets of clubs were sold. The company would like to estimate the relationship between the demand and price. Then it would like to use this estimated relationship to answer the following questions:

1. Assuming the unit cost of producing a set of clubs is $250 and the price must be a multiple of $10, what price should Links charge to maximize its profit?
2. How does the optimal price depend on the unit cost of producing a set of clubs?
3. Is the model an accurate representation of reality?