Consider the following constraint, where S is a slack variable:
3X1 + 4X2 - S = 12
a. What was the original constraint before the slack variable was included?
b. What value of S is associated with each of the following points:
i) X1 = 5, X2 = 0
ii) X1 = 2, X2 = 2
iii) X1 = 7, X2 = 1
iv) X1 = 4, X2 = 0