document.write( "Question 1151909: An artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $1390 for 250 statues. The manufacturing costs for the three types are $7, $6, and $5. If the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $4,370 in monthly revenue?\r
\n" ); document.write( "\n" ); document.write( "thank you so whoever solves this. I hope its MATHLOVER1. (• ◡•) ok bai
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Algebra.Com's Answer #773782 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( " its MATHLOVER1. (• ◡•) ok \r
\n" ); document.write( "\n" ); document.write( "large: \"L\" -> the manufacturing costs $\"7\"
\n" ); document.write( " medium: \"M\"-> the manufacturing costs $\"6\"
\n" ); document.write( "small: \"S\"-> the manufacturing costs $\"5\"\r
\n" ); document.write( "\n" ); document.write( "cost: $\"1390\" for \"250\" statues:\r
\n" ); document.write( "\n" ); document.write( "\"L%2BM%2BS=250\"........eq.1
\n" ); document.write( "\"7L%2B6M%2B5S=1390\" ........eq.2
\n" ); document.write( "for revenue
\n" ); document.write( "\"26L%2B18M%2B15S=4370\" ........eq.3
\n" ); document.write( "-----------------------------------------------------solve the system\r
\n" ); document.write( "\n" ); document.write( "\"L=250-M-S\"........eq.1a
\n" ); document.write( "\"L=1390%2F7-6M%2F7-5S%2F7\" ........eq.2
\n" ); document.write( "----------------------------------------------- =>
\n" ); document.write( "\"250-M-S=1390%2F7-6M%2F7-5S%2F7\"
\n" ); document.write( "\"6M%2F7-M-S%2B5S%2F7=1390%2F7-250\"......both sides multiply by \"7\"
\n" ); document.write( "\"6M-7M-7S%2B5S=1390-1750\"
\n" ); document.write( "\"-M-2S=-360\".....solve for \"M\"
\n" ); document.write( "\"M=360-2S\"...............eq.1b\r
\n" ); document.write( "\n" ); document.write( "go to
\n" ); document.write( "\"26L%2B18M%2B15S=4370\" ........eq.3.............substitute \"L\" from eq.1 and \"M\" from eq.1b\r
\n" ); document.write( "\n" ); document.write( "\"26%28250-%28360-2S%29-S%29%2B18%28360-2S%29%2B15S=4370\" ............solve for \"S\"\r
\n" ); document.write( "\n" ); document.write( "\"26%28250-360%2B2S-S%29%2B18%28360-2S%29%2B15S=4370\"\r
\n" ); document.write( "\n" ); document.write( "\"6500-9360%2B52S-26S%2B6480-36S%2B15S=4370\"\r
\n" ); document.write( "\n" ); document.write( "\"3620%2B5S=4370\"\r
\n" ); document.write( "\n" ); document.write( "\"5S=4370-3620\"\r
\n" ); document.write( "\n" ); document.write( "\"5S=750\"\r
\n" ); document.write( "\n" ); document.write( "\"S=750%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28S=150%29\"\r
\n" ); document.write( "\n" ); document.write( "go to \"M=360-2S\"...............eq.1a, substitute \"S\"\r
\n" ); document.write( "\n" ); document.write( "\"M=360-2%2A150\"\r
\n" ); document.write( "\n" ); document.write( "\"M=360-300\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28M=60%29\"\r
\n" ); document.write( "\n" ); document.write( "go to \"L=250-M-S\"........eq.1a , substitute \"S\" and \"M\"\r
\n" ); document.write( "\n" ); document.write( "\"L=250-60-150\"\r
\n" ); document.write( "\n" ); document.write( "\"L=250-210\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28L=40%29\"\r
\n" ); document.write( "\n" ); document.write( "answer: \"highlight%28L=40%29\", \"highlight%28M=60%29\", and \"highlight%28S=150%29\" should be made to produce $\"4370\" in monthly revenue\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check: If the number of statues above sell for $\"26\", $\"18\", and $\"15\", respectively will produce $\"4370\" in monthly revenue \r
\n" ); document.write( "\n" ); document.write( "\"4370=26L%2B18M%2B15S\"
\n" ); document.write( "\"4370=26%2A40%2B18%2A60%2B15%2A150\"
\n" ); document.write( "\"4370=1040%2B1080%2B2250\"
\n" ); document.write( "\"4370=4370\" which confirms our answer\r
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