The photocopier company "ABG" has as part of its sales policy the placement in crowded places (such as libraries and bookstores) of photocopiers that work with coins. Customers they pay €0.20 for each photocopy and the store that owns the space where the photocopier is housed collects €0.02 per photocopy. The photocopier company undertakes to provide the photocopier, the paper, the copier ink 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 copier paper and ink has been calculated at € 0.06 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 a copier is approximately 40,000 copies per month. Wanted: 1. Calculate the number of photocopies that should be produced by a machine on a monthly basis in order for the photocopier company to place it in a certain space.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The photocopier company "ABG" has as part of its sales policy the placement in crowded places (such as libraries and bookstores) of photocopiers that work with coins. Customers
they pay €0.20 for each photocopy and the store that owns the space where the photocopier is housed collects €0.02 per photocopy.
The photocopier company undertakes to provide the photocopier, the paper, the copier ink 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 copier paper and ink has been calculated at € 0.06 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 a copier is approximately 40,000 copies per month.
Wanted:
1. Calculate the number of photocopies that should be produced by a machine on a monthly basis in order for the photocopier company to place it in a certain space.
2. When the seller of the company "ABG" visited the bookstore "GNOSIS" in order to renew the annual agreement of the photocopier, the manager of the bookstore counter-suggested that instead of collecting €0.02 per photocopy, he should collect €500 per month as rent for the concession of the space. What would you answer to the manager of the bookstore if you were the seller of the company "ABG" and you knew that in the previous year 280,000 photocopies were produced in this particular bookstore?
3. If the photocopier company "ABG" wants to have an annual profit of € 15,840 from each photocopier, what price should it charge for its photocopiers, knowing that usually each photocopier is used at 70% of its capacity (you ignore the existence of taxes and question sentence 2)

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