Alice was named manager of month at the wire company due to the study on hiring. She was able to find that each of 3- sales people she supervises averages $50,000 in monthly sales, and that for every extra salesperson she hires average sales for every salesperson would reduce by $1000 per month.
a) What equation models the situation?
b) Illustrate algebraically that number of extra sales persons required to maximize sales is 10.