# Math

posted by Chris

Karen can be paid in one of two ways for selling insurance policies:
Plan A:A salary of \$750 per month, plus a commission of 10% of sales.

Plan B:A salary of \$1000 per month, plus a commission of 8% of sales in excess of \$2000.

For what amount of monthly sales is plan A better than plan B if we can assume that sales are always more than \$2000?

1. helper

Plan A: Salary \$750 + .10 of sales
Plan B: Salary \$1,000 + .08 of sales > \$2,000

x = dollar amt of sales
750 + .10x > 1000 + .08(x - 2000)
750 + .10x > 1000 + .08x - 160
750 + .10x > 840 + .08x
0.02x > 90
x > 4500

Plan A better when sales > \$4500

2. Chris

That was a huge help. Thank you!!!

3. helper

You're welcome :)

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