One.
To be a (non-trivial) linear programming problem both the objective function and the constraints must be linear.
If there were no constraints then the objective function could be made arbitrarily large or arbitrarily small. (Think of a line in two-space.)
By adding one constraint the objective function's value can be limited to a finite value.
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Linear programming can be used to solve problems requiring the optimisation (maximum or minimum) of a linear objective function when the variables are subject to a linear constraints.
There is no limit.
It is a programming problem in which the objective function is to be optimised subject to a set of constraints. At least one of the constraints or the objective functions must be non-linear in at least one of the variables.
A linear objective function and linear constraints.
1. What do you understand by Linear Programming Problem? What are the requirements of Linear Programming Problem? What are the basic assumptions of Linear Programming Problem?