Question

Find the price$-$demand equation for a particular brand of toothpaste at a supermarket chain when the demand is $41$ tubes

per week at $$2\mathrm{.}15$ per tube, given that the marginal price$-$demand function, p$^(\text{'})($x$),$ for x number of tubes per week, is given

as

p$^(\text{'})($x$)=-0\mathrm{.}01$e$^(-0\mathrm{.}05$x$)$

If the supermarket chain sells $70$ tubes per week, what price should be set?

$($Round to the nearest cent.$)$

Provide your answer below: