document.write( "Question 892217: Allen operates a small sign-making business. He finds that if he charges x dollars for each sign, he sells 49 − x signs per week. What is the smallest number of signs that he can sell to have an income of $598 in one week? \n" ); document.write( "

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Allen operates a small sign-making business. He finds that if he charges x dollars for each sign, he sells 49 − x signs per week. What is the smallest number of signs that he can sell to have an income of $598 in one week?
\n" ); document.write( "***
\n" ); document.write( "price*quantity=income
\n" ); document.write( "let x=smallest number of signs that he can sell
\n" ); document.write( "x(49-x)=598
\n" ); document.write( "49x-x^2=598
\n" ); document.write( "x^2-49x+598=0
\n" ); document.write( "(x-23)(x-26)=0
\n" ); document.write( "x=23
\n" ); document.write( "or
\n" ); document.write( "x=26
\n" ); document.write( "smallest number of signs that he can sell=23 \n" ); document.write( "

\n" );