Question

the students government wants to sell magazines subscription to make a profit of at least 3000.They make 1.25 per m magazine sold. only expense were for advertisement of 100 in the school and 150 in the community. write a linear inequality that models this problem situation.

Answer 1

Let's use the variable 'm' to represent the number of magazines sold.

If they make 1.25 per magazine sold, the total revenue is the product of the unitary value of one magazine by the number of magazines sold:

`R=1.25m`

The costs are the values of 100 and 150, so we have:

`C=100+150`

Finally, the profit they want to have is at least 3000, so:

`P\ge3000`

If the profit is calculated by the revenue minus the cost, we have that:

`\begin{gathered} P=R-C \\ R-C\ge3000 \\ 1.25m-100-150\ge3000 \end{gathered}`