28. a company needs a faster computer to enhance its e - business capabilities. the computer can be…
28. a company needs a faster computer to enhance its e - business capabilities. the computer can be purchased for $1800 or rented for $90 per month. what is the maximum number of months the computer could be kept so that it is cheaper to rent than to buy?
Answer
Explanation:
Step1: Set up inequality
Let $n$ be the number of months. The cost of purchasing a faster computer is $1800$. The cost of renting a computer is $950 + 900n$. We want to find when renting is cheaper, so $950+900n<1800$.
Step2: Solve for $n$
Subtract 950 from both sides: $900n<1800 - 950$, so $900n<850$. Then $n<\frac{850}{900}=\frac{17}{18}\approx0.94$. Since $n$ represents the number of months and it must be a non - negative integer, the maximum number of months for which the computer could be kept so that it is cheaper to rent than to buy is 0.
Answer:
0