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Oliga [24]
3 years ago
9

As an office manager, you want to choose from buying a copier or renting one. You can buy one for $7000 with a fee of $30 a mont

h or rent a copier machine for $100 per month. The cost of copying if you own one is 4 cents per copy and when you rent it, the cost is 8 cents per copy. You estimate that make 5000 copies per month.
1. Find a formula for the cost of copying when you own the machine by using the number of months as independent variable.
2. Find a formula for the cost of copying when you rent the machine where the number of months is represented by x.
3. Find the cost for each option for each year of the first 5 years.
4. Suppose you want to keep the copier machine for 8 years; which option is better for you? What about if you want to keep the same machine for 10 years?
5. After how many months would the cost of both options be the same?
6. Identify the number of months where neither owning or renting the machine holds a cost of ownership advantage.
7. What effect would the cost per copy have on cost of ownership? Graph or show hand calculations.
8. If you can sell the copier for 40% of its value at any time, how does the analysis change? Graph or show hand calculations.
Mathematics
1 answer:
Reptile [31]3 years ago
8 0

Answer: you should rent one

Step-by-step explanation:

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Answer:

3

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4 0
3 years ago
Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
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Answer:

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step by step explanation:

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