Integer programming problems are specifically designed to find solutions where all decision variables must take integer values. This is often used in situations where fractional values don't make sense, such as assigning people to projects or deciding how many units of a product to produce.

Answer: integer programming problems $.$

$3.$ If the allowable increase for a constraint is $100$ and we add $110$ units of the resource what happens to the objective function value?

a$.$ increase of $100$

b$.$ increase of $110$

c$.$ decrease of $100$

d$.$ increases but by unknown amount