Convert the following mathematical program into an equivalent linear program Please show your work. X-Z min (max{xy, z}) s.t.: Z (1): (2): (3): (4): b) (8 points) Can the original problem be converted into an equivalent linear program if we add separately each of the following constraint: i. (4 points) 21-x- y-z ii. (4 points) -21+y-x If so convert the new constraint, if not explain why not. x+y=16 x+y+z 22 |xy| 19 x, y 0. 10 2