Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.)

Minimizec=x+ysubject to

x+5y65x+y6x0,y0.

c=_________

(x,y) =______________