Choosing the best Sales Job

Question

You are offered two different furniture sales jobs. The Furniture Barn offers you a job that pays straight commission of 9% of the sales. The Furniture Warehouse offers you a job that pays a salary of $310 per week plus 4% of the sales. How much would you have to sell in a week in order for the job at The Furniture Barn to pay as well or better than the job at The Furniture Warehouse? Round the answer to the nearest cent.

The Furniture Barn pays better than The Furniture Warehouse if my sales are at least (answer here)

Answer 1

9% versus $310 weekly + 4%

Furniture Barn vs. Warehouse

.09s = 310+.04s

.05s = 310

s = 310/.05 = 620/.1 = $6,200 in sales makes the salary the same in either

sell more than $6,200 per week and Barn beats Warehouse salary

.09(6.2) = .31 + .04(6.2)

.558 = .31 + .248 = .558 thousand dollars = $558 weekly commission

for >$6200 sales, the Barn pays > Warehouse

one way to solve this problem is graph the two salary equations and find the lines' intersection point