Find the Maximum Value of the Objective Function and Where $\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)$

Multiple Choice

Find the maximum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = 5x + y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
?

A) Maximum at (0,5) : 5
B) Maximum at $\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)$ : $\frac { 239 } { 6 }$
C) Maximum at (0,0) : 0
D) No maximum
E) Maximum at $\left( \frac { 21 } { 2 } , 0 \right)$ : $\frac { 105 } { 2 }$