Advertising Effect. A wholesale garden center estimates that it will sell N units of a bas...

Advertising Effect. A wholesale garden center estimates that it will sell N units of a basket of three potted amaryllises after spending a dollars on advertising, where

N(a) = − a2 + 300a + 6, 0 ≤ a ≤ 300,

and a is measured in thousands of dollars.

a) Graph the function using a graphing calculator.

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b) Use the MAXIMUM feature to find the relative maximum.

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c) For what advertising expenditure will the greatest number of baskets be sold? How many baskets will be sold for that amount?