Curt can be paid in one of two ways for the furniture he sells. plan a: salary of $350 per month, plus a commission of 10% of sales. plan b: salary of $750 per month, plus a commission of 15% of sales in excess of $5000. for what amount of monthly sales is plan b better than plan a, assuming curt's sales are always more than $5000?

for $16000 plan B is better than A

Explanation:

We are searching for the stage where Plan A's compensation is less than Plan B's compensation.

Plan A < Plan B

let total of Curt's sales  be the x,

x is the basis of the commission under Plan A, but the first 5000 of sales are excluded i.e  (x - 5000) from the basis of commissions under Plan B.

350 + x(0.10) < 750 + (x - 5000)(0.15)

800 -750 < (0.15) x - 5000(0.15) - (0.10)x

50 < (0.15 - 0.10)x - 750

50+750 < (0.05)x

800 < (0.05)x

16000 < x

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