! Keywords: Goal Programming / Lexico / Preemptive Goal Programming / Project Management / Production / Scheduling / Sorting;
MIN   Z
  SUBJECT TO
  ! The physical constraints on the  X's;
      A) X1 + 2 X2 + 4 X3 + 7 X4  >=     16
      B) 2.5 X1 + 3.5 X2 + 5.2 X5 >=     17.5
      C) 0.4 X2 + 1.3 X4 + 7.2 X6 >=     12
      D) 2.5 X2 + 3.5 X3 + 5.2 X5 >=     13.1
      E) 3.5 X1 + 3.5 X4 + 5.2 X6 >=     18.2
  ! Constraints to compute the max hurt  Z;
     H1) Z - X1 >=    0
     H2) Z - X2 >=    0
     H3) Z - X3 >=    0
     H4) Z - X4 >=    0
     H5) Z - X5 >=    0
     H6) Z - X6 >=    0
   END