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Exhibit 9.2 Spreadsheet structure for solver
Value of the maximum Z. . . . . $ 5,480,970.34
Total Projects selected . . . . 98.7.
The solution resulted in fractional values for project types 1, 2, and 4. How we
deal with this situation depends on how strongly we feel that the constraints must
be strictly maintained. For example, we could simply round every variable in the
solution up to the next highest value: X 1 =
3. Rounding these
fractional values up will require more resource hours. This will violate our con-
straints, but may or may not create a problem for YRA. To determine the effect on
the use of resource hours, insert these values into the worksheet area containing the
values of the decision variables, D2:D8.
It is easy to assume a false-precision when devising the constraints of a formu-
lation. The constant values of the right-hand side of the constraints (which we call
RHS) may simply be estimates. For example, the RHS of the Res-A hours con-
straint, 800, could be 812 or 789. So there may be some latitude in our ability to
deal with fractional results. Conversely, if the constraints are hard and fast ,asolu-
tion could be implemented that rounds all, or some, of the fractional values down
to insure strict adherence to the constraints. YRA should have an understanding of
the precision of the data used in the formulation, and they will have to decide how
to deal with this issue. Regardless, they have available the formulation to test the
6; X 2 =
20; X 4 =
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