document.write( "Question 1066773: Carlo and Anita make mailboxes and toys in their craft shop near Lincoln. Each mailbox requires 3 hours of work from Carlo and 4 hours from Anita. Each toy requires 2 hours of work from Carlo and 4 hours from Anita. Carlo cannot work more than 18 hours per week and Anita cannot work more than 32 hours per week. If each mailbox sells for $11 and each toy sells for $12, then how many of each should they make to maximize their revenue? What is their maximum revenue? \n" ); document.write( "

Algebra.Com's Answer #681997 by josgarithmetic(39617) $\"\"$ $\"About$

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document.write( "                  HOURS 1 mailbox        HOURS 1 toy     TIME LIMIT\r\n" );
document.write( "         --------------------------------------------------------------\r\n" );
document.write( "        Carlo        3                     2                  18\r\n" );
document.write( "        Anita        4                     4                  32\r\n" );
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\n" ); document.write( "Let x be how many mailboxes
\n" ); document.write( "Let y be how many toys\r
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\n" ); document.write( "\n" ); document.write( "Carlo and Anita have these time limits:
\n" ); document.write( " $\"system%283x%2B2y%3C=18%2C4x%2B4y%3C=32%29\"$
\n" ); document.write( "In addition to that,
\n" ); document.write( " $\"system%28x%3E0%2Cy%3E0%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Here is the revenue R for x mailboxes and y toys:
\n" ); document.write( " $\"R=11x%2B12y\"$ \r
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\n" ); document.write( "\n" ); document.write( "You are likely to find the best R at one of the corners of the figure bounded by $\"system%283x%2B2y%3C=18%2C4x%2B4y%3C=32%2Cx%3E0%2Cy%3E0%29\"$ . (Graph not shown here) \n" ); document.write( "

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