201k views
3 votes
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?

User Chefes
by
4.4k points

1 Answer

1 vote

Answer:


At\text{ least \$37,000}

Step-by-step 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(370)/(0.01) \\ x\ge37,000 \end{gathered}

User Pim Reijersen
by
4.1k points