By graphing the system of constraints, and using the values of x and y that minimize the objective function, find the minimum value.
5x + y >= 10
x + y <= 6
x + 4y >= 12
x >= 0
y >= 0
minimum for C = 10,000x + 20,000y
A. C = 24,540
B. C = 67,370
C. C = 45,610
D. C = 31,440