Chris can be paid in one of two ways. Plan "A" is a salary of $350 per month, plus a commission of 7% of sales. Plan "B" is a salary of $630 per month, plus a commission of 3% of sales. Chris should select plan "A" for sales greater than?
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OpenStudy (anonymous):
$7000 Correct?
OpenStudy (anonymous):
@gorv
OpenStudy (gorv):
do you have option
OpenStudy (gorv):
let sale = x
OpenStudy (anonymous):
No options :/ It's like a free response one.
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OpenStudy (gorv):
now calculate the payment he will get
OpenStudy (anonymous):
Yes, I put in a random number for x and narrowed it down to 7000 dollars
OpenStudy (gorv):
\[350+x *\frac{ 7 }{ 100 }\]
OpenStudy (gorv):
that one for A
OpenStudy (anonymous):
So B i: 630 + x * .03
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OpenStudy (anonymous):
B is*
OpenStudy (gorv):
\[630+x*\frac{ 3 }{ 100 }\]
OpenStudy (anonymous):
Yes, so if x is $7000, then Chris should pick plan "A" when sales are greater that: $7000 correct?
OpenStudy (gorv):
so for this
\[350+\frac{ 7x }{ 100}>630+\frac{ 3x }{ 100 }\]
OpenStudy (gorv):
subtract 350 from both side
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OpenStudy (anonymous):
\[7x \div100 > 280 + 3x \div100\]
OpenStudy (gorv):
now multiply by 100 both side
OpenStudy (anonymous):
\[700x \div100 > 3x\]
OpenStudy (anonymous):
7x>3x
OpenStudy (gorv):
loll 280 is also there
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