Consider the following constraint, where S is a slack variable: 2X1 + 4X2 + S = 16

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Consider the following constraint, where S is a slack variable:
2X1 + 4X2 + S = 16
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 = 2, X2 = 2
ii) X1 = 8, X2 = 0
iii) X1 = 1, X2 = 3
iv) X1 = 4, X2 = 1

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