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 $\$ 440$ 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?
Question Help: $\square$ Video $\square$ Message instructor
Submit Question
Answer
Final Answer: You would need to sell approximately \(\boxed{14666.67}\) in a week for the straight commission offer to be at least as good as the salary plus commission offer.
Step 1 ：Let's denote the sales amount as 'x'.
Step 2 ：Set up an equation where the first job's commission (5% of sales) is equal to the second job's salary plus commission (440 + 2% of sales). The equation would be: \(0.05 * x = 440 + 0.02 * x\)
Step 3 ：Solve this equation to find the value of 'x'.
Step 4 ：The result is approximately 14666.67. This means that you would need to sell approximately $14666.67 in a week for the straight commission offer to be at least as good as the salary plus commission offer.
Step 5 ：Final Answer: You would need to sell approximately \(\boxed{14666.67}\) in a week for the straight commission offer to be at least as good as the salary plus commission offer.
