Question 109358: On your new job, you can be paid in one of 2 ways:
Plan A: A salary of $800 a month, plus a commission of 5% of sales.
Plan B: A salary of $1000 per month, plus commision of 8% of sales in excess of $10,000.
For what amount of sales is Plan A better than Plan B?
Make tables and write equations to show work.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Plan A: A salary of $800 a month, plus a commission of 5% of sales.
A(x) = 800 + 0.05x
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Plan B: A salary of $1000 per month, plus commision of 8% of sales in excess of $10,000.
B(x) = =1000+0.08(x-10,000)
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For what amount of sales is Plan A better than Plan B?
INEQUALITY: A>B ?
800 + 0.05x > 1000+0.08(x-10000)
800 + 0.05x > 1000+ 0.08x- 800
0.03x < 1600-1000
0.03x < 600
x < $20,000 (Maximum amount of sales which result in plan A better than B).
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Cheers,
Stan H.
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