Problem

In Exercises 41 and 42, p refers to the demand function given in Example 7. Now assu...

In Exercises 41 and 42, p refers to the demand function given in Example 7. Now assume that a second economist proposes an alternative model f for the demand function:

where n is the number of tee shirts that can be sold per month at a price of f (n) dollars per shirt.

Show that at a price level of $10 per shirt, the model p predicts more than twice as many sales per month as does the model f. Hint: Solve each of the equations p(n) = 10 and f (n) = 10, and interpret the results.

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