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You are offered two jobs selling textbooks. One company offers an annual salary of $20,000 plus a year-end bonus of 1% total sales. he other company offers an annual salary of $15,000 plus a year-end bonus of 2% total sales.

Determine the annual sales required to make the second offer better.

2007-12-11 12:02:17 · 11 answers · asked by Anonymous in Science & Mathematics Mathematics

11 answers

Find out when they are equal and anything over the second offer is better
20,000 + 1.01x = 15,000 + 1.02x
5000 = .01x
x=500,000
If you can make sales larger than 500,000 than the second offer is better.

2007-12-11 12:08:00 · answer #1 · answered by Davyd R 3 · 0 0

I am not certain that this is the way that you want this solved, but I made an equality rather than the inequality, that is I set the two offers numerically equal to themselves:

15000 + 0.02x =20000 + 0.01x where x is the annual sales
Doing the algebra I arrive at x = 500,000
BUT this is the equality. To have the inequality that you presented, we can just increase by a buck. Not very eloquent, but it works for me. So any amount in excess of 500,000 in sales would make the first offer of 15,000 + 2% of sales better. Instead of the equal sign you could use the greater than symbol above. Hope I helped and didn't screw things up!

2007-12-11 20:22:31 · answer #2 · answered by screaming monk 6 · 0 0

let the annual sales be $ x

so the salary offered by 1st company = 20,000 + 0.01x

The salary offered by second one = 15,000 + 0.02x


If second one to be better

15000 + 0.02x > 20000 + 0.01x

0.02x > 5000 + 0.01x

0.01x >5000

x > 5000/0.01 = 500000

so Annual sales should be more than $500,000 worh to make second offer to be better

2007-12-11 20:15:00 · answer #3 · answered by mohanrao d 7 · 0 0

As long as the annual sales of the second company are $500,001+ than the first company, you make more with the 2nd.

2007-12-11 20:06:21 · answer #4 · answered by Anonymous · 0 0

the annual sales would be 5 % more.

2007-12-11 20:05:12 · answer #5 · answered by Anonymous · 0 1

X = sales volume
20000 + 0.01X < 10000 + 0.02X so X > 500000.

2007-12-11 20:07:31 · answer #6 · answered by LucaPacioli1492 7 · 0 0

Let S= sales.

20000 + .01S = 15000 + .02S

5000 = .01S

S = 500,000 is breakeven. At 500,001 second is better

2007-12-11 20:06:56 · answer #7 · answered by fcas80 7 · 1 0

5,000$ more dollars on the second offer because that is a whole lot more than 1%.....and an extra 1% is a whole lot less than 5,000 dollars..........its very logical....no, just kidding i don't know...

Good luck on that crazy hard question....best wishes.......!

2007-12-11 20:09:45 · answer #8 · answered by Afro_Diggy_Act 3 · 0 0

x= annual sales
20,000+.01x< 15000+.02x
5000<.01x
x>500000

2007-12-11 20:06:54 · answer #9 · answered by chasrmck 6 · 0 0

alright i am pretty smart so listen up, the answer is $25000

2007-12-11 20:09:18 · answer #10 · answered by Sade A 2 · 0 0

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