1. Discuss why and how you would use a liner programming model for a project of your choice, either from your own work or as a hypothetical situation. Be sure that you stae your situation first, before you develpp the LP model

Linear programming is a modeling technique that is used to help managers make logical and informed decisions. All date and input factors are known with certainty. Linear program models are developed in three different steps: Formulation

Solution
Interpretation

The formulation step deals with displaying the problem in a mathematical form. Once that is developed the solution stage solves the problem and finds the variable values. During the interpretation stage the sensitivity analysis gives managers the opportunity to answer hypothetical questions regarding the solutions that are generated.

There are four basic assumptions of linear programming and they are as follows: Certainty
Proportionality
Additivity
Divisibility

Linear programming is the development of modeling and solution procedures which employ mathematical techniques to optimize the goals and objectives of the decision-maker. Programming problems determine the optimal allocation of scarce resources to meet certain objectives. Linear Programming Problems are mathematical programming problems where all of the relationships amongst the variables are linear.

Components of a LP Formulation are as follows:
Decision Variables
Objective Function
Constraints
Non-negativity Conditions

Decision variables represent unknown quantities. The solutions for these terms are what we would like to optimize. Objective function states the goal of the decision-maker. There are two types of objectives: Maximization

Minimization

Constraints put limitations on the possible solutions of the problem. The availability of scarce resources may be expressed as equations or inequalities which rule out certain combinations of variable values...

...RESEARCH PAPER ON
LINEARPROGRAMMING
Vikas Vasam
ID: 100-11-5919
Faculty: Prof. Dr Goran Trajkovski
CMP 561: Algorithm Analysis
VIRGINIA INTERNATIONAL UNIVERSITY
Introduction:
One of the section of mathematical programming is linearprogramming.
Methods and linearprogramming models are widely used in the...

... LINEARPROGRAMMING
DATE;
5 JUNE, 14
UNIVERSITY OF CENTRAL PUNJAB
INTRODUCTION TO LINEARPROGRAMMINGLinearprogramming (LP; also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by...

...TOPIC – LINEARPROGRAMMINGLinearProgramming is a mathematical procedure for determining optimal allocation of scarce resources.
Requirements of LinearProgramming
• all problems seek to maximize or minimize some quantity
• The presence of restrictions or constraints
• There must be alternative courses of action
• The objective and constraints in...

...LINEARPROGRAMMING
INTRODUCTION:
The term ‛programming′ means planning and it refers to a particular plan of action amongst several alternatives for maximizing profit or minimizing cost etc. Programming problems deal with determining optimal allocation of limited resources to meet the given objectives, such as cost, maximum profit, highest margin or least time, when resources have alternative uses.
The term...

...
LinearProgramming
After completing this chapter you should be able to:
identify a product which maximises the contribution per unit of scarce resource when there is only one scarce resource, and determine the optimum solution.
formulate an LP model to solve for the optimal product mix which maximises profits, or for cost minimisation problems to minimise costs.
solve 2 variable problems graphically.
use a spreadsheet to solve LP problems with any...

...Duality in LinearProgramming
4
In the preceding chapter on sensitivity analysis, we saw that the shadow-price interpretation of the optimal
simplex multipliers is a very useful concept. First, these shadow prices give us directly the marginal worth
of an additional unit of any of the resources. Second, when an activity is ‘‘priced out’’ using these shadow
prices, the opportunity cost of allocating resources to that activity relative to other activities is...

...DQ 17
A common form of the product-mix linearprogramming seeks to find the quantities of items in the product mix that maximizes profit in the presence of limited resources.
-True
Linearprogramming helps operations managers make decisions necessary to allocate resources.
-True
In linearprogramming, the unit profit or unit contribution associated with one decision...

...Spreadsheet Modeling and Excel Solver A mathematical model implemented in a spreadsheet is called a spreadsheet model. Major spreadsheet packages come with a built-in optimization tool called Solver. Now we demonstrate how to use Excel spreadsheet modeling and Solver to find the optimal solution of optimization problems. If the model has two variables, the graphical method can be used to solve the model. Very few real world problems involve only two variables....