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BOUNDS data lines are used to define variable bounds that differ from the defaults assumed by the QSopt parser, see Default variable bounds.
Field 1 of a BOUNDS data line contains a bounds indicator, field 2 contains a label, and field 3 a variable name. Depending on the bounds indicator, field 4 is either empty or it contains a floating point number.
Similar to RHS and RANGES data lines, a BOUNDS line is ignored if its label differs from the label used in the first BOUNDS line.
The following table explains the effects of BOUNDS data lines on a variable's bounds. x refers to the variable name and value refers to the number given on the data line.
| indicator | uses field 4 | interpretation |
| LO, LI | yes | x ≥ value |
| UP, UI | yes | x ≤ value |
| FX | yes | x = value |
| BV | no | x = 0 or x = 1 |
| MI | no | x ≥  |
| PL | no | x ≤  |
| FR | no | ≤ x ≤
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The "LI", "UI", or "BV" bounds indicators declare their variable to be an integer variable as well as defining its bounds.
See also MPS format sections.