Maximize f=5x+9y\displaystyle {f}={5}{x}+{9}{y}
Subject to x+2y344x+5y100x0y0\displaystyle {\left.\begin{array}{ccc} {x}+{2}{y}&\le&{34}\\{4}{x}+{5}{y}&\le&{100}\\{x}&\ge&{0}\\{y}&\ge&{0}\end{array}\right.}


Maximum is at (If needed, separate points with a comma.)