Question

Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbounded. (Assume that x greater than equal to 0 and y greater than equal to 0.)

4x greater than equal to 1
6x + 5y less than equal to 3
3x + y > 5
f(x,y) = x + y

Answer 1

so, have you graphed the inequalities?
is the result completely enclosed, or open on one side?
if enclosed, then f(x,y) will have an optimum value at one or more of the vertices.

Better review linear programming some more.