Find the Maximum and Minimum Values of the Objective Function $C = 8 x + 4 y + 7$

Multiple Choice

Find the maximum and minimum values of the objective function $C = 8 x + 4 y + 7$ on the region in the figure.

A) The maximum is $19$ at $( 0,3 )$ ,
The minimum is $19$ at $( 0,3 )$ .
B) The maximum is $51$ at $( 4,3 )$ ,
The minimum is $19$ at $( 0,3 )$ .
C) The maximum is $3$ at $( 2,4 )$ ,
The minimum is $19$ at $( 0,3 )$ .
D) The maximum is $20$ at $( 4,3 )$ ,
The minimum is $19$ at $( 0,3 )$ .
E) The maximum is $67$ at $( 7,1 )$ ,
The minimum is $19$ at $( 0,3 )$ .