Question

the Student Government wants to sell magazines subscription to make a profit of at least $3,000. They make $1.25 per m magazine subscription sold. Their only expense were for advertisement of $100 in school and $150 in the community. write a linear inequality that model this problem.

Answer 1

The student Government wants to make a profit of at least $3000 from a magazines sales. At least $3000 simply means the profit should be $3000 and above.

There profit is $1.25 per magazine(m) subscription sold.

Their expenses are as follows

advertisement in school = $100

advertisement in community = $150

let

m = number of magazine sold

profit = selling price - cost price

selling price

$1.25\times m=1.25m$

Cost price

$100+150=\text{\ }250$

Therefore,

$\begin{gathered} 1.25m-250\ge3000 \\ \text{divide through by 1.25} \\ \frac{1.25m}{1.25}-\frac{250}{1.25}\ge\frac{3000}{1.25} \\ m-200\ge2400 \end{gathered}$