The photocopier company "ABC" has as part of its sales policy the placement in crowded places $($such as libraries and bookstores$)$ of photocopiers that work with coins. Customers pay $0\mathrm{.}20$ for each photocopy and the store which has the space in which the photocopier is housed receives $0\mathrm{.}02$ per photocopy. The photocopier company undertakes to provide the photocopier, the paper, the ink of the photocopier as well as its maintenance. The company preventively maintains the machine once a month. The cost of the maintenance visit is $600.$ The cost of paper and photocopier ink has been estimated at $0\mathrm{.}06$ per photocopy. The company has calculated that the fixed cost of the photocopier is its depreciation, which is estimated at $24,000$ on an annual basis. The capacity of one photocopier is approximately $40,000$ photocopies per month.

Requested:

$1.$ Calculate the number of photocopies that must be produced by a machine on a monthly basis in order for the photocopier to place it in a place.

$2.$ When the seller of the company "ABC" visited the bookstore "GNOSI" in order to renew the annual agreement of the photocopier, the manager of the bookstore offered him instead of receiving $0\mathrm{.}02$ per photocopy to collect $500$ per month as rent for the concession of the space. What would you say to the bookstore manager if you were the seller of the company "ABC" and you knew that last year $280,000$ photocopies were produced in this bookstore?

$3.$ If the photocopier company "ABC" wants to make an annual profit from each photocopier $15\mathrm{.}840,$ at what price should it charge its photocopiers, knowing that usually each photocopier is employed at $70\%$ of its capacity $($ignore the existence of taxes and the suggestion of question $2).$