Results for question 2
The model above produces the following output. Setting XPRS_VERBOSE to true makes the software display the log of the LP solver: some information about the problem size (numbers of constraints, variables, non-zero coefficients, and MIP entities) and a log of the simplex algorithm. If you re-run the model without the bound updates from CP to LP you may observe a slightly larger number of Simplex iterations.
CP solution (version 1): Earliest possible completion time: 64 weeks 1: 0, 2: 2, 3: 18, 4: 18-29, 5: 27, 6: 37 7: 26-61, 8: 43-59, 9: 43, 10: 26-59, 11: 43-58, 12: 52 13: 28-63, 14: 18-53, 15: 26-60, 16: 46-61, 17: 54, 18: 63 CP solution (version 2): Earliest possible completion time: 52 weeks 1: 0-12, 2: 2-14, 3: 15-27, 4: 15-37, 5: 23-35, 6: 31-43 7: 21-62, 8: 36-60, 9: 36-48, 10: 21-60, 11: 36-60, 12: 43-55 13: 22-63, 14: 15-57, 15: 21-62, 16: 38-62, 17: 45-57, 18: 51-63 Reading Problem /xprs_6cf5_404d0008 Problem Statistics 28 ( 0 spare) rows 38 ( 0 spare) structural columns 83 ( 0 spare) non-zero elements Global Statistics 0 entities 0 sets 0 set members Its Obj Value S Ninf Nneg Sum Inf Time 0 360.000300 D 17 0 29.000010 0 17 87.000000 D 0 0 .000000 0 Optimal solution found Total profit: 87 Total duration: 54 weeks 1: 0 2: 2 3: 15 4: 15 5: 23 6: 31 7: 23 8: 36 9: 36 10: 23 11: 36 12: 45 13: 25 14: 15 15: 23 16: 39 17: 47 18: 53