Find the Minimum Value of the Objective Function and Where $\ge$

Multiple Choice

Find the minimum value of the objective function and where it occurs, subject to the constraints:
Objective function:

Z = 4x + 16y

Constraints:

X $\ge$ 0
Y $\ge$ 0
X + 4y $\le$ 20
X + y $\le$ 18
2x + 2y $\le$ 21

A) Minimum at $\left( 0 , \frac { 19 } { 6 } \right)$ : $\frac { 152 } { 3 }$
B) Minimum at $\left( \frac { 22 } { 3 } , 0 \right)$ : $\frac { 88 } { 3 }$
C) Minimum at (0, 0) : 0
D) Minimum at $\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)$ : 80
E) No minimum