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. Question content area bottom left Part 1 a. How many slack variables are needed? enter your response here . . . Question content area right Part 1 Maximize zequals5x 1plus3x 2plusx 3 subject to: 5 x 1 plus 6 x 2 plus 7 x 3 less than or equals 146 2 x 1 plus 5 x 2 plus 14 x 3 less than or equals 244 withx 1greater than or equals0, x 2greater than or equals0, x 3greater than or equals0

For the given maximization problem, (a) determine the number of slack variables needed, (b) : Co " Maximize 2 = 9%4 + 3X2 +X3 name them, and (c) use slack variables to convert each constraint into a linear equation. subject to: 5%; + 6x2 + 7x3