By graphing the system of constraints, and using the values of x and y that maximize the objective function, find the maximum value.

x+y ≤ 11

2y ≥ x

x ≥ 0
y ≥ 0

maximum for p=3x+2y

a. p= 10 1/3

b. p= 7 1/3

c. p=21

d. p=29 1/3

(picture also provided)