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)![]() ![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( "-- \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 \n" ); document.write( "-- \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. \n" ); document.write( " |