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Curt can be paid in one of two ways for the furniture he sells. Plan​ A: Salary of

​$500 per​ month, plus a commission of​ 10% of sales. Plan​ B: Salary of ​$900

per​ month, plus a commission of​ 15% of sales in excess of ​$6000. For what amount of monthly sales is plan B better than plan​ A, assuming​ Curt's sales are always more than ​$6000​?

 Oct 8, 2018
 #1
avatar+101872 
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Let S  be the  the total sales per month

 

So...we have these equations

 

B  =  900 +  .15( S - 6000)

A = 500 + .10 ( S)

 

And we want to know when  B > A  ...so...

 

900 + .15(S - 6000)  >  500 + .10(S)      simplify

 

900 + .15S  - 900  > 500 + .10S

 

.15S  > 500 + .10S        subtract  .10S  from both sides

 

.05S  > 500      divide both sides by .05

 

S > 10000  ⇒  "B"  is better whenever his monthly sales are greater than $10000

 

 

cool cool cool

 Oct 8, 2018

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