Precalculus help

Introduction for Linear Programming:

Linear programming solver is the universal method of most favorable part of limited wherewithal such as labor, substance, engine, resources etc., to quite a few competing behavior such as goods, services, jobs, projects, etc, on the fundamentals of known criterion of optimality. The phrase limited at this point is used to describe the availability of scarce resources during planning period. The principle of optimality usually means either performance, return on investments, utility, time, distance etc.

Structure of Linear programming examples:

The LP model contains the following 3 fundamental elements.

• The decision variable that we seek to determine.
• Objective (goal) that we aim to optimize (minimize or maximize )
• Constraints that we need to satisfy.

Formulation of linear programming problem:

The procedure consists of the subsequent chief steps

Step 1: Study the given situation to find the key decision to be made.

Step 2: Identify the variables involved and designate them by symbols x_j (j=1, 2…)

Step 3: Express the feasible alternatives mathematically in terms of variables, which generally are: x_j >=0 for all j for Math Question and Answer.

Step 4: Identify the constraints in the problem and express them as linear inequalities or equation involving the decision variables

Step 5: Identify the objective of the function and express it as a linear function of the decision variables.