Find the optimal solution of the following linear programming problem with the simplex method:

Maximize Z = 5x1 + 7x2 subject to 3x1 + 4x2 <= 650 2x1 + 3x2 <= 500 and x1,x2 >= 0

Select one:

a. Z=2275, x1=0, x2=0

b. Z=2275/2, x1=0, x2=325/2

c. Z=2275, x1=15, x2=0