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Definition of Linear Function. A function that can be graphically represented in the Cartesian coordinate plane by a straight line is called a Linear Function.
A linear program is a mathematical optimization model that has a linear objective function and a set of linear constraints. To provide a quick overview, we describe below what is known as the product-mix problem.The Product-Mix Problem.n other words, the objective function is linear in the decision variables xr and xe. Notice further that the left-hand-side expressions in all four constraints are also linear. This is why we call the above problem a linear program.