How Does Mathematics Assist In Decision Making

Presentation Topic:

Kazi Md. Nasir UddinAssistance Professor

Department of Accounting & Information Systems

Faculty of Business StudiesJagannath University, Dhaka.

Name ID No.

MD. Shohag B-120201023

Tapan Halder B-120201029

MD. Shakil B- 120201031

Function

Straight Line

Coordinate Geometry

Presenter:MD. SOHAGID- B-120201023

Presentation Topic: Function

Function is a technical term that is used to symbolize the relationship between two variables.

Y = f (x) = x + 2

You can find out the relationship between two real variables.

Such as:

You can find out the relationship between cost and revenue

You can find out the distance through a function of time and speed

You can find out the relation between Time and Labor

You can Find out the relationship between Time and units of production

You can find out the profit through a function of loss

You can find out the quantity demanded with a function of price

Distance covered is a function of time and speed

The railway freight changed is a function of weight or volume

The quantity demanded is a function of price

The product supplied is a function of demand

Limit :Limit :  The limit of a function is that fixed value to which a function approaches as the variable approaches a given value. The function approaches this fixed constant in such a way that the absolute value of the difference between the function and the constant may be made smaller and smaller than any positive number,

however small.  

Continuity: Continuity: A function f(x) is said to be continuous at x=a, if corresponding to any arbitrarily assigned positive number, however small there exists a positive number

Presenter: TAPAN HALDER

ID- B-120201024

Presentation Topic: Straight Line

Straight line can be defined as a shortest distance between two distinct point. It is the most simple geometrical entry.

You can find out the linear relationship between two variables

Such As:

You can find out the linear relationship between investment and annual income

You can find out the relationship between cost and number of unites produced

You can find out constant expenses and variable expenses

You can use it on decision making

You can determine total production of investment

You can find out the slope of a line

When number of unit produced increases from 4000 to 6000, the total cost of production increases from 22,000 to 30,000 TK. Find the relationship between cost and the number of units produced.

y – y1 = m (x – x1)

Solution:

Here,

Y1 = 22,000Y2 = 30,000X1 = 4,000X2 = 6,000And,m = (Y2 - Y1) / (X2 - X1)

Presenter:

MD. SHAKILID- B-120201025

Presentation Topic: Coordinate Geometry

A system of geometry where the position of points on the plane is described using an ordered pair of numbers.

Quadrants: The two directed lines, when they intersect at right angles at the point of origin, divide their plane into four parts or regions. These four parts are known as quadrant.

Coordinates: In a two dimensional figure, a point in plane has two coordinates. The first coordinate is known as x-coordinate and second coordinate is known as y-coordinate.

Coordinates of mid point: Coordinates of mid point: We can find out the coordinates of a mid point from the coordinates of any two points using the following formula:

2

,2

:int 1212 yyxxpoMid

Distance between two points: Distance between two points: The distance, say d, between two points P(x1, y1) and Q(x2, y2) is given by the formula:

222

212 )()( yyxxd

If you know the coordinates of a group of points you can:

calculate the midpoint of a line segment. plot points the points calculate the distance between two points. calculate the median and mean of a data

set. describe how mathematical modeling can be

used in decision making.

give a criterion function, using a simple mathematical model to assist in decision making.

define appropriate data structures read and display external data files design and implement computer

program for use in business planning

The following grid represents the streets and houses of Simpletown. The mayor is trying to determine the best place to build the rescue squad. This town has only two houses. On the town grid, the Adams are located at A(2,3) and the Browns are located at B(6,-4).

Objective: Determine the Ideal location “K” for the rescue squad.