Chris can be paid one of two ways. Plan A is a salary of $420 per month, plus a commission of 7% of sales. Plan B is a salary of $552 per month, plus a commission of 4% of sales. For what amount of sales is Chris better off selecting plan A?

Chris should select plan A for sales greater than$___

420 + .07(420)x > 552 + .04(552)x

Solve for x.

To determine the amount of sales for which Chris would be better off selecting plan A, we need to find the point at which the total compensation under plan A exceeds the total compensation under plan B.

Let's break down the total compensation for each plan:

For Plan A:
Salary = $420 per month
Commission = 7% of sales

For Plan B:
Salary = $552 per month
Commission = 4% of sales

To find the point at which Chris is better off selecting Plan A, we can set up the equation:

Total compensation under Plan A > Total compensation under Plan B

Let's assume the amount of sales is S.

For Plan A:
Total compensation under Plan A = Salary + Commission
= $420 + 0.07S

For Plan B:
Total compensation under Plan B = Salary + Commission
= $552 + 0.04S

Now we can set up the equation:

$420 + 0.07S > $552 + 0.04S

To solve for S (the amount of sales at which Chris is better off selecting Plan A), we can isolate the variable S:

0.07S - 0.04S > $552 - $420
0.03S > $132
S > $132 / 0.03
S > $4,400

Therefore, Chris should select Plan A for sales greater than $4,400.