The Variable Upper Bound box:

sets the default variable bounds while the global solver is running.  If this parameter is set to d, then variables will not be permitted to assume values outside the range of  [-d, d].  Setting this parameter as tightly as possible in the Value Field restricts the global solver from straying into uninteresting regions and will reduce run times.  The default value for the Value Field is 1.e10.

The Application list box has three options available: None, All and Selected. Selecting None removes the variable bounds entirely, and is not recommended.  The All setting applies the bound to all variables.  Finally, the Selected setting causes the global solver to apply the bound after an initial solver pass to find the first local solution.  The bound will only be applied to a variable if it does not cutoff the initial local solution.  LINGO defaults to the Selected setting.