Chapter 5.2, Problem 10E

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 $c=0.4x+0.1y$

Subject to $30x+20y\ge 600$

$0.1x+0.4y\ge 4$

$0.2x+0.3y\ge 4.5$

$x\ge 0,y\ge 0$.