Chapter 6.2, Problem 22E

Exercises 1-24, solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. [HINT: See Example 1.]

Minimize $c=-x+2y$

Subject to $y\le \frac{2x}{3}$

$x\le 3y$

$y\ge 4$

$x\ge 6$

$x+y\le 16$.