Question

Фирма планирует покупку новых принтеров. Цена принтера А состав- ляет 85 манатов, и для печати одного экземпляра расходуется 0,05 мана- тов. Цена принтера B- 215 манатов, и для печати одного экземпляра расходуется 0,01 манат. При каких условиях выгоднее купить принтер В? Help pleaseee❤️❤️❤️❤️❤️

Answer 1

Ответ:

ФИРМА А:

плата за принтер + плата за 1 экземпляр × все экземляры

ФИРМА B:

плата за принтер + плата за 1 экземпляр × все экземляры

При условии задачи, фирма В должна быть выгоднее фирмы A, то есть:

ФИРМА B < ФИРМА А:

Пусть все экземпляты - x, тогда составим уравнение:

$215 + 0,01x < 85 + 0,05x\\215-85 < 0,05x-0,01x\\130 < 0,04x\\3250 < x\\x > 3250$

Если за день экземпляров будет больше 3250 шт., то выгоднее предложение фирмы В.

Проверим: например, при х = 3255 шт.,

Фирма А: 85 + 0,05 · 3255 = 247,75 манатов;

Фирма B: 215 + 0,01 · 3255 = 247,55 манатов;

247,55 < 247,75.

ОТВЕТ: если кол-во экземпляров будет больше 3250 штук.

Answer 2

To determine under which conditions it is more advantageous to purchase Printer B, we need to compare the total costs of using Printer A and Printer B for printing a certain number of copies.

Let's assume we want to print "n" copies.

For Printer A: - The cost of one printer is 85 manats. - The cost of printing one copy is 0.05 manats.

So, the total cost of using Printer A to print "n" copies would be: Total Cost A = Cost of Printer A + (Cost per copy A * Number of copies) Total Cost A = 85 + (0.05 * n)

For Printer B: - The cost of one printer is 215 manats. - The cost of printing one copy is 0.01 manats.

The total cost of using Printer B to print "n" copies would be: Total Cost B = Cost of Printer B + (Cost per copy B * Number of copies) Total Cost B = 215 + (0.01 * n)

To determine under which conditions it is more advantageous to buy Printer B, we need to find the value of "n" for which the total cost of using Printer B is less than the total cost of using Printer A.

Let's set up the inequality: Total Cost B < Total Cost A

Substituting the expressions for Total Cost A and Total Cost B: 215 + (0.01 * n) < 85 + (0.05 * n)

Now, we can solve this inequality to find the value of "n" for which it is more advantageous to buy Printer B.

Solving the inequality:

215 + (0.01 * n) < 85 + (0.05 * n)

Subtracting (0.01 * n) from both sides: 215 < 85 + (0.04 * n)

Subtracting 85 from both sides: 130 < 0.04 * n

Dividing both sides by 0.04: 3250 < n

Therefore, if the number of copies to be printed is greater than 3250, it is more advantageous to buy Printer B. If the number of copies is less than or equal to 3250, it is more advantageous to buy Printer A.

Please note that this analysis assumes that the only cost considerations are the initial purchase price of the printer and the cost per copy. Other factors such as maintenance costs, reliability, and quality of prints may also be important considerations when making a purchasing decision.