Question

You are offered two different sales jobs. The first company offers a straight commission of 2% of the sales. The second company offers a salary of $ 370 per week plus 1% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?

Answer 1

Answer:

$At\text{ least \ 37,000}$

Explanation:

Here, we want to get the value to be sold for the commission job to be at least as good as the salary job

Let the amount be $x

2% of this equals or greater than $370 plus 1 % of the sales

Mathematically, we write this as follows:

$\begin{gathered} \text{ 2\% of x }\ge\text{ 370 + 1\% of x} \\ 0.02x\text{ }\ge\text{ 370 + 0.01x } \\ 0.02x-0.01x\text{ }\ge\text{ 370} \\ 0.01x\text{ }\ge370 \\ x\ge\frac{370}{0.01} \\ x\ge37,000 \end{gathered}$