Question

Noe installs and configures software on home computers. He charges \(125 per job. His monthly expenses are \)1,600. How many jobs must he work in order to make a profit of at least $2,400?

Short answer

Noe must do $32$ jobs.

Step-by-step solution

Given information

Neo charges$\$125$or one job and monthly expenses are$\$1600$.

Suppose the number of jobs

Let the number of job be $x$.

The number of jobs times $125$must be greater that monthly expenses of $1600$plus profit of $2400$.

$125x\ge 1600+2400$

Solve the inequality for $x$:

$$\begin{gathered} 125x\ge 4000 \\ x\ge 32 \end{gathered}$$

Therefore, neo must-do $32$jobs in order to earn a profit of $\$2400$ and rest of the expenses.