Sales saturation. The Gottahavit device is introduced in a market with 150,000,000 potential buyers. The unit sales are modeled by the function s given by s x = − 0.0131 x 3 + 0.661 x 2 − 2.021 x + 6.865 , where s is total sales, in millions of units, x months after the device was released. a) Find the point of inflection, and interpret its meaning in terms of the rate of change in sales. b) Graph y = s x f o r 0 ≤ x ≤ 30 .
Sales saturation. The Gottahavit device is introduced in a market with 150,000,000 potential buyers. The unit sales are modeled by the function s given by s x = − 0.0131 x 3 + 0.661 x 2 − 2.021 x + 6.865 , where s is total sales, in millions of units, x months after the device was released. a) Find the point of inflection, and interpret its meaning in terms of the rate of change in sales. b) Graph y = s x f o r 0 ≤ x ≤ 30 .
Solution Summary: The author analyzes the function s(x) to determine the point of inflection and interpret the meaning in terms of the rate of change in sales.
Sales saturation. The Gottahavit device is introduced in a market with 150,000,000 potential buyers. The unit sales are modeled by the function
s
given by
s
x
=
−
0.0131
x
3
+
0.661
x
2
−
2.021
x
+
6.865
,
where
s
is total sales, in millions of units,
x
months after the device was released.
a) Find the point of inflection, and interpret its meaning in terms of the rate of change in sales.
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