Discount applied successfully

Buy custom Definitions of Linear Programming:

Essay's paper info
Topic: Miscellaneous
Number of pages / Number of words: 6 / 1469
Essay's paper body

Let S1 be the selling price of wheat, and S2 the price of barley. If we denote the area planted with wheat and barley with x1 and x2 respectively, then the optimal number of square kilometres to plant with wheat vs barley can be expressed as a linear programming problem:

maximize S1x1 + S2x2 (maximize the revenue - this is the "objective function")

subject to (limit on total area)

(limit on fertilizer)

(limit on insecticide)

(cannot plant a negative area)

Which in matrix form becomes:

maximize

subject to

[edit]

Augmented form (slack form)

Linear programming problems must be converted into augmented form before being solved by the simplex algorithm...


Essay fragment Read more

Need an Essay?

Choose one of the options below

Custom Written Essays

  • Order plagiarism free custom written essay
  • All essays are written from scratch by professional writers according to your instructions and delivered to your email on time. Prices start from $11.99 /page
Order Custom Paper

Full Access to Essays Database

  • This option gives you the immediate access to all 184 988 essays
  • You get access to all the essays and can view as many of them as you like for as little as $28.95/month
Buy Database Access

If at our website you can not find any essay you need for your study, you can order a paper on any topic with us.
Our company employs only qualified writers that are Master's and PhD holders.

Order custom written essay

Benefits
  • Research papers are written by professional writers
  • Requirements are always met
  • Posibility to control the working process of your paper
  • A chance of becoming the best student in your class.

This form introduces non-negative slack variables to replace non-equalities with equalities in the constraints. The problem can then be written on the following form:

Maximize Z in:

where xs are the newly introduced slack variables, and Z is the variable to be maximized.

[edit]

Example

The example above becomes as follows when converted into augmented form:

maximize S1x1 + S2x2 (objective function)

subject to x1 + x2 + x3 = A (augmented constraint)

F1x1 + F2x2 + x4 = F (augmented constraint)

P1x1 + P2x2 + x5 = P (augmented constraint)

where x3,x4,x5 are (non-negative) slack variables...


Essay fragment

General points of the essay

investment strategy linear programming Linear Programming.,Corporation Linear Programming: Blending THE EVOLUTION OF THE US WHEAT INDUSTRY An Analysis Of The Use Of Form The Wind That Shakes The Barley Definitions of Linear Programming: Form And Malignant Form Linear Programming A507 MBA Product is form or function Determining The Optimal Temperature And Ph Of Barley Amylase How Do Rainbows Form? Decision Modeling/Linear Programming Linear Programming My Form

Essays related to the topic
Title Pages / Words Select
investment strategy linear programming essay 5 / 1358
Sensitivity Analysis essay 5 / 1282
system of operations essay 3 / 627
Wald Press essay 3 / 659
Definitions of Linear Programming: essay 6 / 1469
The Possibility Restaurant essay 1 / 166
Solution of linear equations by Gaussian elimination and back-substitution essay 2 / 318
Services