document.write( "Question 38095: two furniture salesmen are comparing their salaries. tom is paid $5.00 per hour plus a 15% commission off his total sales. bob is paid $9.00 per hour plus 10% commmision off his total sales. suppose each has sold $5,000 worth of furniture, who would make the most money and during what time intervals? \n" ); document.write( "

Algebra.Com's Answer #23599 by josmiceli(19441) $\"\"$ $\"About$

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What's required is to find the equations for Bob and Tom's income and
\n" ); document.write( "graph them both.
\n" ); document.write( " Income = (hours worked)*(hourly pay) + (rate of commision)*(value of sales)
\n" ); document.write( "h = hourly pay
\n" ); document.write( " $\"I%28t%29+=+5%2Ah+%2B+%28.15%29%2A+5000\"$
\n" ); document.write( " $\"I%28b%29+=+9%2Ah+%2B+%28.10%29%2A+5000\"$
\n" ); document.write( " $\"I%28t%29+=+5%2Ah+%2B+750\"$
\n" ); document.write( " $\"I%28b%29+=+9%2Ah+%2B+500\"$
\n" ); document.write( "graph I versus h for Tom and Bob
\n" ); document.write( "hours worked is on the x-axis. The y axis is Income (Bobs or Toms)
\n" ); document.write( " $\"+graph%28+400%2C+300%2C+-20%2C+100%2C+-200%2C+2000%2C+5%2Ax+%2B+750%2C9%2Ax+%2B+500%29+\"$
\n" ); document.write( "The point where their incomes are equal can be determined
\n" ); document.write( "by setting I(b) = I(t)
\n" ); document.write( " $\"5%2Ah+%2B+750+=+9%2Ah+%2B+500\"$
\n" ); document.write( " $\"4%2Ah+=+250\"$
\n" ); document.write( " $\"h+=+62.5\"$
\n" ); document.write( "So, when both have worked 62.5 hours, their incomes are equal. Before
\n" ); document.write( "that point, Toms income is higher \n" ); document.write( "

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