Chapter 1.2, Problem 36E

(a)

To determine

To calculate: The worldwide sales of smartphones, if the price is $\$120$, where, the demand for smartphones can be modeled by $q\left(p\right)=36,900\left({0.968}^p\right)$ million units sold per year and $\left(100\le p\le 200\right)$, where p is the unit price in dollars.

(b)

To determine

To calculate: The worldwide sales of smartphones to the nearest million units, if the price is $\$210$ where the demand for smartphones can be modeled by $q\left(p\right)=36,900\left({0.968}^p\right)$ million units sold per year and $\left(100\le p\le 200\right)$, where p is the unit price in dollars.

(c)

To determine

To calculate: The model of worldwide annual revenue from the sales of smartphones as a function of unit price and estimate to the nearest billion dollars worldwide annual revenue, if the price is set to $\$120$ where, the demand for smartphones can be modeled by $q\left(p\right)=36,900\left({0.968}^p\right)$ million units sold per year and $\left(100\le p\le 200\right)$, if p is the unit price in dollars.

(d)

To determine

To graph: The function obtained in part (c) and determine whether the worldwide revenue increases as the price increases or decreases beyond $\$120$, where, the demand for smartphones can be modeled by $q\left(p\right)=36,900\left({0.968}^p\right)$ million units sold per year and $\left(100\le p\le 200\right)$, if p is the unit price in dollars.