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. a. How many slack variables are needed? 3 b. Which slack variables should be used? A. s 1, s 2, s 3 B. s 1, s 2 C. x 1, x 2, x 3 D. x 1, x 2 c. What is the equation using a slack variable that corresponds to the first constraint, 5 x 1 plus 8 x 2 plus 10 x 3 less than or equals 173? A. 5 x 1 plus 8 x 2 plus 10 x 3 less than or equals 173 B. 5 x 1 plus 8 x 2 plus 10 x 3 plus s 1 less than or equals 173 C. 5 x 1 plus 8 x 2 plus 10 x 3 plus x 1 equals 173 D. 5 x 1 plus 8 x 2 plus 10 x 3 plus s 1 equals 173 What is the equation using a slack variable that corresponds to the second constraint, 5 x 1 plus 4 x 2 plus 17 x 3 less than or equals 245? A. 5 x 1 plus 4 x 2 plus 17 x 3 plus s 2 equals 245 B. 5 x 1 plus 4 x 2 plus 17 x 3 less than or equals 245 C. 5 x 1 plus 4 x 2 plus 17 x 3 plus x 2 equals 245 D. 5 x 1 plus 4 x 2 plus 17 x 3 plus s 2 less than or equals 245 Maximize zequals5x 1plus3x 2plusx 3 subject to: 5 x 1 plus 8 x 2 plus 10 x 3 less than or equals 173 5 x 1 plus 4 x 2 plus 17 x 3 less than or equals 245 with x 1greater than or equals0, x 2greater than or equals0, x 3greater than or equals0