Paloma$$s company manufactures thermometers with internet connections so that

when patients take their temperature at home the results will automatically be

transmitted to their doctor$$s office. It costs her company $$10$ to make each

thermometer. Modeling based on market research tells them if they sell them at

cost $($that is $$10$ each$)$ they could sell $10,000$ units but that each $$1$ increase in price

causes them to lose another $2\%$ of their sales. $1$ This implies that the number of

units they sell, S$,$ at a price of $x is given approximately by: $=12,239(0\mathrm{.}98$

$)$