Understanding Linear Programs and Mathematics Models of High School Class 11

Definition of Linear Courses and Mathematical Models - For this post, the material to be discussed by The Basic Mathematical Formula is about the Linear Program and Mathematical Model. Linear program or commonly implicated also as a linear optimization is a program that can be used to solve the problem of optimization. In the problem of linear optimization, the constraints or constraints can be translated into linear inequalities. The variable values ​​that satisfy a system of linear inequalities are in a set of solutions that have various possible solutions. From the possibility of completion there is a solution that gives the best result (optimum settlement). So it can be concluded that the purpose of the linear optimization problem is to optimize (maximize or minimize) a function f . This function f is referred to as a target function, purpose function, or objective function.

Understanding Linear Programs and Mathematical Models "border =" 0 "height =" 168 "src =" http://4.bp.blogspot.com/ -Lh9a0oJ5haE / VRISd89w11I / AAAAAAAAH3M / LjGMPwKIKn8 / s1600 / Understanding% 2BProgram% 2BLinear% 2B and% 2BModel% 2BMathematics.png "title =" Understanding Linear Programs and Mathematical Models "width =" 200 "> </div> <div class=
The linear optimization problem as described above is commonly encountered in the field of goods production, the distribution of goods, in the economic field, and in other fields included in the study of operational research. ]
The Definition of Mathematical Models
Already Described above that in solving linear programming problems we must be able to translate first about the constraints that exist d I in linear programming problems into the form of mathematical formulation. The process is called the mathematical model. The mathematical model can be defined as a mathematical formula derived from the interpretation of a person when translating a linear program problem into a Mathematical Language. A mathematical model is said to be good if it contains only the necessary parts.

To understand it more easily, consider the following examples of mathematical modeling:



Sample Problem Mathematical Model and Discussion


Example 1:
Mas Bejo buys 6 notebooks and 8 pencils in a bookstore. For that Mas Bejo must pay Rp.6.900. While Bang Jarwo only buy 1 piece of notebook and 1 pencil with the price Rp.1.050. If the price of a rupiah book and a pencil is expressed by x and y make a mathematical model of the problem!

[(19459006) Answer:
Based on the amount of money paid by Mas Bejo, obtained the relationship:

6x + 8y = 6,900

Based on the amount of money paid by Bang Jarwo, obtained Relationships:

[1945909]

x + y = 1.050

]
So the mathematical model is:


6x + 8y = 6.900 and
] [1 9459006] x + y = 1,050 with x and y ε C [194590]

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