Mathematical Model Of Story Problem

Definition of Mathematical Model

The most important thing in linear programming is to transform the lisan matter into a mathematical model that is a daily language pronunciation into a simpler and easier to understand language of mathematics. So the mathematical model is a formula derived from an interpretation when translating a lisan matter.

How To Convert Verbal Sentence To A Mathematical Model In The Form Of Inequality System

To make it easier to change the lisan problems in the form of linear aktivitas into the capital mathematics used table as follows:

Example:
To make bread A required 200 grams of flour and 25 grams of butter. As for bread B required 100 grams of flour and 50 grams of butter. The available flour is only 4kg and the butter is 1.2kg. If the price of bread A Rp. 400,00 and bread B cost Rp. 500.00. Make a mathematical model!

Answer:
Suppose a lot of bread A = x and lots of bread B = y, meaning other variables are flour and butter. So the table is obtained as follows:

Flour and butter available at most 4 kg = 4000 grams and 1.2 = 1200 grams so the sign of inequality is "<". From the table can be made inequality as follows:
200x + 100y < 4000, simplified to:
2x + y < 40

25x + 50y < 1200, simplified to:
x + 2y < 48 

Since x and y are nonnegative integers then:
x > 0 
y > 0

The above four inequalities are requirements that must be met called the constraint function. the price of bread A Rp.500,00 and bread B Rp.400,00, then the sales proceeds can be formulated with Z = 400x + 500. y: Z is called objective function or sasaran function that can be maximized or minimized.

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Referensi :

• To'Ali's book math group accounting and sales

Sumber http://matematikaakuntansi.blogspot.com

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