document.write( "Question 253062: At which vertex is the objective function C = 3x - 4y maximized? \n" ); document.write( "
Algebra.Com's Answer #185517 by drk(1908)\"\" \"About 
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First, we solve for y as
\n" ); document.write( "y = (3/4)x - C/4
\n" ); document.write( "If x = 0, then y = C/4
\n" ); document.write( "If y = 0, then x = C/3.
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\n" ); document.write( "C = 3x - 4y.
\n" ); document.write( "C(0,C/4) = 3*0 - 4(C/4) = -4
\n" ); document.write( "C(C/3,0) = 3*(C/3) - 4*0 = C
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\n" ); document.write( "Now it gets tricky.
\n" ); document.write( "If C > -4 then (C/3) is a max.
\n" ); document.write( "Otherwise, C/4 is the max.
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