Chapter 5.2, Problem 9E

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 $c=0.2x+0.3y$

Subject to $0.2x+0.1y\ge 1$

$0.15x+0.3y\ge 1.5$

$10x+10y\ge 80$

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