Economics is essentially about the allocation the least quantities of scarce resources to maximise utility. Resources could be money - so minimise cost - while utility may be measured by profits.
If the production options can be modelled by linear functions - as they often are - then LP is a very useful tool. It is also easily programmed into computers.
Integer programming is a method of mathematical programming that restricts some or all of the variables to integers. A subset of Integer programming is Linear programming. This is a form of mathematical programming which seeks to find the best outcome in such a way that the requirements are linear relationships.
George B. Dantzig
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
The objective function and the 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?
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?
Linear programming, especially in economics is vital for being able to make accurate estimates of goods output, costs and stock levels needed to carry out certain tasks. It is best to assume that the conditions do not change drastically.
necessity of linear programming on organization.
Earl O. Heady has written: 'Farm management economics' 'Roots of the farm problem' 'Agricultural supply functions' 'Linear programming methods' -- subject(s): Linear programming 'Agricultural problems and policies of developed countries'
It depends on the problem: you may have to use integer programming rather than linear programming.
Robert Dorfman has written: 'Application of linear programming to the theory of the firm' -- subject(s): Economics, Mathematical, Industrial management, Mathematical Economics 'Prices and markets' -- subject(s): Microeconomics, Supply and demand, Prices, Price 'The price system' -- subject(s): Prices 'General equilibrium with public goods' 'Economic theory and public decisions' -- subject(s): Decision making, Economic policy, Economics, Economics, Mathematical, Mathematical Economics 'Linear programming and economic analysis' -- subject(s): Economics, Input-output analysis, Mathematical models
the significance of duality theory of linear programming
I'm not altogether clear about what you mean. However, the term 'linear programming' means a category of optimisation problems in which both the objective function and the constraints are linear. Please see the link.
Salvatore Vinci has written: 'Programmazione lineare e teoria economica' -- subject(s): Linear programming, Mathematical Economics
essential attributes of linear programming models and its uses
Integer programming is a method of mathematical programming that restricts some or all of the variables to integers. A subset of Integer programming is Linear programming. This is a form of mathematical programming which seeks to find the best outcome in such a way that the requirements are linear relationships.