26. a company needs a faster computer to enhance its e - business capabilities. the computer can be…

26. a company needs a faster computer to enhance its e - business capabilities. the computer can be purchased for $1890 or rented for $900 plus $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?

26. a company needs a faster computer to enhance its e - business capabilities. the computer can be purchased for $1890 or rented for $900 plus $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 the inequality

Let $m$ be the number of months. The cost of renting is $C_r=900 + 90m$, and the cost of buying is $C_b = 1890$. We want to find $m$ such that $C_r<C_b$, so the inequality is $900+90m<1890$.

Step2: Solve the inequality for $m$

Subtract 900 from both sides: $90m<1890 - 900$, which simplifies to $90m<990$. Then divide both sides by 90: $m<\frac{990}{90}=11$.

Answer:

10 (Since $m$ is an integer and $m < 11$, the maximum integer - value of $m$ is 10)