Determine the number of slack variables and name them. Then use the slack variables to convert each constraint into a linear equation.
Maximize: z = 9x1 + 3x2 subject to:
7x1 - x2 ≤ 178
12x1 + 6x2 ≤ 205
15x1 + x2 ≤ 333
with x1 ≥ 0, x2 ≥ 0
How many and which slack variables should be assigned?
A. There are five slack variables named x1, x2, s1, s2, s3.
B. There are three slack variables named s1, s2, s3.
C. There are two slack variables named s1, s2.
D. There are three slack variables named x1, x2, s1.
Assume the first equation using a slack variable is 7x1 - x2 + s1 = 178. What is the second equation after the slack variable is introduced?
A. 12x1 + 6x2 + s1 + s2 = 205
B. 12x1 + 6x2 + s2 = 205
C. 12x1 + 6x2 + s1 = 205
What is the third equation after the slack variable is introduced?
A. 15x1 + x2 + s2 = 333
B. 15x1 + x2 + s3 = 333
C. 15x1 + x2 + s1 + s2 = 333
