document.write( "Question 164259: A recent college graduate has job offers for a sales position in two computer firms. Job \"A\" pays 25,000 per year plus 5% commission. Job \"B\" pays only 20,000 per year, but the commission rate is 10%. How much yearly business must the salesman do for the second job to be more lucrative? \n" ); document.write( "

Algebra.Com's Answer #121027 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
<.pre>
\n" ); document.write( "Let $\"x\"$ =sales
\n" ); document.write( "We equate the 2 Jobs' rate: $\"JobA=JobB\"$
\n" ); document.write( " $\"25000%2B0.05x=20000%2B0.10x\"$
\n" ); document.write( " $\"25000-20000=0.10x-0.05x\"$
\n" ); document.write( " $\"5000=0.05x\"$
\n" ); document.write( " $\"cross%285000%29100000%2Fcross%280.05%29=cross%280.05%29x%2Fcross%280.05%29\"$
\n" ); document.write( " $\"x=100000\"$ ------> At this sales you can choose either Job (A or B) because the salary will just be the same. Sales higher than this, Job B will be lucrative (better)
\n" ); document.write( "Let's see, x=$101,000
\n" ); document.write( "Job A @ 5%:
\n" ); document.write( " $\"25000%2B0.005%28101000%29\"$ =$30,050
\n" ); document.write( "Job B @10%:
\n" ); document.write( " $\"20000%2B0.10%28101000%29\"$ =$30,100
\n" ); document.write( "See, the higher the sales on $100,000 more money you're getting on Job B.
\n" ); document.write( "Try $125,000? $150,000?
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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