document.write( "Question 577875: The Willey Farm Collective, farmed by several branches of the Willeys, has 4500 acres of land available for raising corn and soybeans. The cost of raising corn is $42 an acre, while the cost of wheat is $35 an acre. The Collective's available capital is $165,200. How many acres of each species should the Collective plant? \n" ); document.write( "

Algebra.Com's Answer #370430 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = acres planted in corn
\n" ); document.write( "Let $\"b\"$ = acres planted in wheat
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+4500+\"$
\n" ); document.write( "(2) $\"+42a+%2B+35b+=+165200+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "The solution has to be on the line
\n" ); document.write( "(1) in an area where (2) is true
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"+b+=+4500+-+a+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+42a+%2B+35%2A%28+4500+-+a+%29+=+165200+\"$
\n" ); document.write( "(2) $\"+42a+%2B+157500+-+35a+=+165200+\"$
\n" ); document.write( "(2) $\"+7a+%3C=+165200+-+157500+\"$
\n" ); document.write( "(2) $\"+7a+=+7700+\"$
\n" ); document.write( "(2) $\"+a+=+1100+\"$
\n" ); document.write( "And, from (1)
\n" ); document.write( "(2) $\"+4500+-+b+=+1100+\"$
\n" ); document.write( "(2) $\"+-b+=+-+3400+\"$
\n" ); document.write( "(2) $\"+b+=+3400+\"$
\n" ); document.write( "1100 acres should be planted in corn
\n" ); document.write( "3400 acres should be planted in wheat
\n" ); document.write( "here's the plots:
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