You are offered two different sales jobs. The first company offers a straight commission of 5% of the sales. The second company offers a salary of $ 230 per week plus 2% 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

You will have to sell $7,667 worth of sales in a week in order for the straight commission offer to be at least as good

Step-by-step explanation:

Step 1: Get the total straight commission offer

We can express the straight total commission as follows;

A=R*T

where;

A=straight total commission

R=commission rate

T=total sales

In our case;

R=5%=5/100=0.05

T=t

replacing

A=0.05*t=0.05 t ... equation 1

Step 2: Total amount of the second offer

We can express the total amount of the second offer as follows;

A=F + (R*T)

where;

A=amount of income the second company offers

F=fixed salary per week

R=commission rate

T=total sales

In our case;

F=$230 per week

R=2%=2/100=0.02

T=t

replacing;

A=230 + (0.02*t) = 0.02 t+230 ... equation 2

Step 3: Equate equation 1 and 2

0.05 t=0.02 t+230

(0.05 t-0.02 t) = 230

0.03 t=230

t=230/0.03

t=7,666.67 rounded up=7,667

You will have to sell $7,667 worth of sales in a week in order for the straight commission offer to be at least as good