Problem $2$: Video Store

A small video store has nine copies of the DVD Captain Underpants, The Movie in its store. There are $12$ customers every day who request this movie for their children. If the movie is not on the shelf, they leave and go to a competing store. Customers arrive evenly distributed over $24$ hours, and the average rental duration is $36$ hours.

$4.$

Question $4$

What percent of customers going to the video store will find the movie available? $($Do not write answer as whole number, format is $00\mathrm{.}00)$

$1$ point

$50\mathrm{.}00$

$5.$

Question $5$

Assume each rental is $$5.$ How much revenue does the store make per day from the nine copies of the movie? $($Do not round answer to a whole number, format as $00\mathrm{.}000)$

$1$ point

$30\mathrm{.}000$

$6.$

Question $6$

Assume that each child that is not able to obtain the movie will receive a $$1$ bill. How much money would the store have to give out to children requesting Captain Underpants, The Movie every day? $($Do not round answer to a whole number, format is $0\mathrm{.}0000)$

$1$ point

Enter answer here

$7.$

Question $7$

Assume the demand for the movie will stay the same for another six months. What would be the payback time, in days, for purchasing an additional copy of the movie at $$50?$ Consider extra revenues related to question $5$ and the cost savings related to question $6.$

$($Do not round answer to a whole number, format is $00\mathrm{.}0000)$

$1$ point