Repeat Exercise 1 using the model f(x) = 82.76x − 1.87x2.
Exercise 1
Advertising—T-Shirt Sales: The Wild & Wacky T-shirt company has estimated that the association between its monthly T-shirt sales and its advertising can be modeled by
f(x) = 90x − 2.7x2 0 ≤ x ≤ 8
where x represents the amount spent on advertising in hundreds of dollars and f(x) is the number of T-shirts sold in hundreds.
(a) Determine dy.
(b) Approximate the increase in sales if the advertising is increased from $400 to $500.
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