Maximizez=2x+3y\displaystyle {z}={2}{x}+{3}{y}
Subject to 2x+4y285x+6y50x0y0\displaystyle {\left.\begin{array}{ccc} {2}{x}+{4}{y}&\le&{28}\\{5}{x}+{6}{y}&\le&{50}\\{x}&\ge&{0}\\{y}&\ge&{0}\end{array}\right.}


Maximum is   at
x\displaystyle {x} =  
y\displaystyle {y} =