$14\mathrm{.}4$

THE FRESH DETERGENT CASE

Fresh

Enterprise Industries produces Fresh, a brand of liquid laundry detergent. In order to study the relationship between price and demand for the large bottle of Fresh, the company has gathered data concerning demand for Fresh over the last $30$ sales periods $($each sales period is four weeks$).$ Here, for each sales period,

$y=$ demand for the large bottle of Fresh $($in hundreds of thousands of bottles$)$ in the sales period, and

$x=$ the difference between the average industry price $($in dollars$)$ of competitors' similar detergents and the price $($in dollars$)$ of Fresh as offered by Enterprise Industries in the sales period.