Question 150027: How would I solve this?
Casey is a salesperson who must decide between two monthly income options:
Option A: Salary of $1950 per month, plus 10% of monthly sales
or Opyion B: Salary of $2420 per month, plus 6% of monthly sales
For what amount of monthly sales is "Option A" a better choice for Casey than Option B?
(Write an appropriate inequality and solve)
Found 2 solutions by nerdybill, jojo14344:
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! Casey is a salesperson who must decide between two monthly income options:
Option A: Salary of $1950 per month, plus 10% of monthly sales
or Opyion B: Salary of $2420 per month, plus 6% of monthly sales
For what amount of monthly sales is "Option A" a better choice for Casey than Option B?
.
Let x = monthly sales (in dollars)
.
Option A: 1950 + .10x
Option b" 2420 + .06x
.
They would like to know when
"Option A" > "Option b"
this gives you:
1950 + .10x > 2420 + .06x
.10x > 470 + .06x
.04x > 470
x > 470/.04
x > $11750
.
Solution: when sales (per month) exceeds $11750, you should go with Option A
Answer by jojo14344(1513)  (Show Source):
You can put this solution on YOUR website! For what amount of monthly sales is "Option A" a better choice than "B"?
For this we need to equate the 2 eqn's. and we'll find out the "minimum" monthly sales it should be for "Option A" to be a better choice, oks.
.
First, let's assigned  = monthly sales. So,
$1950+10%(x) = $2420+6%(x)
x=$11,750 -----------> The monthly sales should be MORE than this amount
in order "Option A" be a better choice.
Let's check.
If sales "x" = $11,750
Option A= $1950+10%($11750) = $3125
Option B= $2420+ 6%($11750) = $3125
See, the sales are equal.
.
If sales "x" = $11,749
Option A= $1950+10%($11749) = $3124.90
Option B= $2420+ 6%($11749) = $3124.94
See, if the sales just go down by $1.00 on the minimum $11,750, Option B is still better.
.
If sales "x" = $11,751 ($1 up!)
Option A = $1950+10%($11751) = $3125.10
Option B = $2420+ 6%($11751) = $3125.06
There you go, it shows if the monthly sales start to go up on $11,750 ---> the better choice Option A will be, more money.Try it if "x" go by $15,000? $20,000?
Thank you,
Jojo
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