For the given maximization problem, (a) determine the number of slack variables needed, (b) name them, and (c) use slack variables to convert each constraint into a linear equation. X3 Maximize z=10x1 +3x2+x3 subject to: 5x1+8x2 +10x3 140 3x1 +5x2 +14x3 206 a. How many slack variables are needed? b. Which slack variables should be used? A. X1, X2 OB. S1, S2, S3 OC. S1, S2 OD. X1, X2 X3 c. What is the equation using a slack variable that correcnonde to the first constraint with x 20 x2 0, x2 0, X3 20 B