a salesperson is given a choice of two salary plans. plan 1 is a weekly salary of $800 plus 2% commission of…
a salesperson is given a choice of two salary plans. plan 1 is a weekly salary of $800 plus 2% commission of sales. plan 2 is a straight commission of 4% of sales. how much in sales must she make in a week for both plans to result in the same salary? how much in sales must she make in a week?
Answer
Explanation:
Step1: Set up equations
Let $x$ be the amount of sales in a week. For Plan 1, the salary $y_1 = 800+0.02x$. For Plan 2, the salary $y_2=0.04x$. We want to find $x$ when $y_1 = y_2$. So, $800 + 0.02x=0.04x$.
Step2: Solve for $x$
Subtract $0.02x$ from both sides: $800=0.04x - 0.02x$. Simplify the right - hand side: $800 = 0.02x$. Then divide both sides by $0.02$: $x=\frac{800}{0.02}$.
Step3: Calculate the value of $x$
$\frac{800}{0.02}=40000$.
Answer:
$40000$