document.write( "Question 50082This question is from textbook Algebra 2 with Trigonometry
\n" );
document.write( ": On your new Job you can be paid in 1 of 2 ways.
\n" );
document.write( "Plan A: A salary of $500per month plus a commission of 4% of total sales
\n" );
document.write( "Plan B: A salary of $750 per month plus a commission of 5%of total sales over $8000
\n" );
document.write( "For what amount of sales is Plan B better than Plan A, assuming that total sales are always more than $8000? \n" );
document.write( "
Algebra.Com's Answer #33264 by Earlsdon(6294) ![]() You can put this solution on YOUR website! Plan A: (Let S = sales amount in dollars and A = salary).\r \n" ); document.write( "\n" ); document.write( "A = $500 + 0.04S\r \n" ); document.write( "\n" ); document.write( "Plan B: S = sales amount in dollars and B = salary)\r \n" ); document.write( "\n" ); document.write( "B = $750 + 0.05(S-$8,000) Write the inequality:\r \n" ); document.write( "\n" ); document.write( "B > A \n" ); document.write( "$750+0.05(S-$8,000) > $500+0.04S Simplify and Solve for S. \n" ); document.write( "$750+0.05S-$400 > $500+0.04S \n" ); document.write( "$350+0.05S > $500+0.04S Subtract 0.04S from both sides of the inequality. \n" ); document.write( "$350+0.01S > $500 Subtract $350 from both sides. \n" ); document.write( "0.01S > $150 Finally, divide both sides by 0.01 \n" ); document.write( "S > $15,000\r \n" ); document.write( "\n" ); document.write( "Check: For $15,001 in sales. \n" ); document.write( "Plan A \n" ); document.write( "A = $500 + 0.04($15,001) \n" ); document.write( "A = $500 + $600.04 \n" ); document.write( "A = $1,100.04\r \n" ); document.write( "\n" ); document.write( "Plan B \n" ); document.write( "B = $750 + 0.05($15,001-$8,000) \n" ); document.write( "B = $750 + 0.05($7,001) \n" ); document.write( "B = $750 + $350.05 \n" ); document.write( "B = $1,100.05\r \n" ); document.write( "\n" ); document.write( "So plan B pays better if sales are greater than $15,000 \n" ); document.write( " \n" ); document.write( " |