document.write( "Question 157482: I need help with this problem:
\n" );
document.write( "Solve the problem\r
\n" );
document.write( "\n" );
document.write( "A salesperson has two job offers. Company A offers a weekly salary of $200 plus commission of 10% of sales. Company B offers a weekly salary of $400 plus commission of 5% of sales. What is the amount of sales above which Company A's offer is the same as Company B's? \r
\n" );
document.write( "\n" );
document.write( "The answers to choose from are\r
\n" );
document.write( "\n" );
document.write( "$4000
\n" );
document.write( "$4100
\n" );
document.write( "$8000
\n" );
document.write( "$2000 \n" );
document.write( "
Algebra.Com's Answer #116053 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! looks like the break even point is $4000 in sales in one week as follows: \n" ); document.write( "200 + (.10)*x = 400 + (.05)*x \n" ); document.write( ".10*x - .05*x = 400 - 200 \n" ); document.write( ".05*x = 200 \n" ); document.write( "x = 200/.05 = 4000 \n" ); document.write( "they are the same AT this point. \n" ); document.write( "above this point, then Company A offer should be better. \n" ); document.write( "to prove, take sales of $5000. \n" ); document.write( "then .10*5000 + 200 should be greater than .05*5000 + 400. \n" ); document.write( "calculating out we get \n" ); document.write( "$500 + 200 = $700 for company A and $250 + $400 = $650 for company B which means company A is better when sales each week are above $4000. \n" ); document.write( " \n" ); document.write( " |