document.write( "Question 1165122: A mall outlet has available space for 200 items of seasonal type of clothing included in
\n" ); document.write( "its summer product line. The items are available in small, medium, and large sizes.
\n" ); document.write( "Records in the last 5 summer sales indicate that demand for medium sizes is the
\n" ); document.write( "highest, and that 1/3 as many small and 1⁄2 as many large sizes, as medium sizes, will
\n" ); document.write( "be needed. Determine the largest number of medium sizes of which the outlet will
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Algebra.Com's Answer #789668 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "Let x be the largest number of medium sizes of which the outlet will have space.\r\n" );
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document.write( "Then from the condition, you have this inequality\r\n" );
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document.write( "    x +  +  <= 200.\r\n" );
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document.write( "Multiply both sides by 6.  You will get\r\n" );
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document.write( "    6x + 3x + 2x <= 1200,\r\n" );
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document.write( "    11x          <= 1200\r\n" );
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document.write( "      x          <=  = 109.09...\r\n" );
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document.write( "ANSWER.   The largest number of medium sizes of which the outlet will have space is  109, under given conditions.\r\n" );
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