document.write( "Question 1068131: You are packing pairs of boxed shoes into bigger boxes for shipping. You can either fit 6 adult shoe boxes or 9 children’s shoe boxes into the bigger box. You only have 30 of the bigger boxes and, combined, you want to pack at least 180 of the pairs of shoes. Write a system of inequalities to model this situation. Then graph the system. Give 2 sample solutions. \n" ); document.write( "
Algebra.Com's Answer #683339 by Edwin McCravy(20060)\"\" \"About 
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You are packing pairs of boxed shoes into bigger boxes for
\n" ); document.write( "shipping. You can either fit 6 adult shoe boxes or 9 children’s
\n" ); document.write( "shoe boxes into the bigger box. You only have 30 of the bigger
\n" ); document.write( "boxes and, combined, you want to pack at least 180 of the pairs
\n" ); document.write( "of shoes. Write a system of inequalities to model this situation.
\n" ); document.write( "Then graph the system. Give 2 sample solutions.
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document.write( "Let x = the number of bigger boxes that will contain 6 adult shoe\r\n" );
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document.write( "Let y = the number of bigger boxes that will contain 9 children's\r\n" );
document.write( "shoe boxes.\r\n" );
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You only have 30 of the bigger boxes...
\n" ); document.write( "Therefore
\n" ); document.write( "\"x+%2B+y+%3C=30\"
\n" ); document.write( "combined, you want to pack at least 180 of the pairs
\n" ); document.write( "of shoes.
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document.write( "\"6x%2B9y%3E=180\"\r\n" );
document.write( "So the system of equations is\r\n" );
document.write( "\"system%28x+%2B+y+%3C=30%2C6x%2B9y%3E=180%29\"\r\n" );
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document.write( "Here is the graph:\r\n" );
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document.write( "The feasible region is the white area.  To find 2 sample solutions, we\r\n" );
document.write( "pick 2 points either IN, or ON the boundary of, the white region.\r\n" );
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document.write( "Say we pick the point (5,22) which is in the white region, and (9,14)\r\n" );
document.write( "which is ON the boundary of the white region:\r\n" );
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document.write( "The two sample solutions are \r\n" );
document.write( "1. 5 big boxes containing 6 adult shoe boxes each, and 22 big boxes\r\n" );
document.write( "   each containing 9 children's shoe boxes each.  That's 5*6+22*9 = 228 \r\n" );
document.write( "   shoe boxes.\r\n" );
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document.write( "1. 9 big boxes containing 6 adult shoe boxes each, and 14 big boxes\r\n" );
document.write( "   each containing 9 children's shoe boxes each.  That's 9*6+14*9 = 180 \r\n" );
document.write( "   shoe boxes.\r\n" );
document.write( "Edwin
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