Given the following linear programming problem that minimizes cost.

MinZ$=2x+8y$

Subject to

$(1)8x+4y64$

$(2)2x+4y32$

$(3)y2$

What is the sensitivity range for the cost of $y?$

$$4$ to finity

$$0$ to infinity

$$4$ to $$12$

$$0$ to $$12$

none of these answers