subject: Linear Objective Function [print this page] Introduction to Linear objective function:
A linear objective function is definite as an algebraic equation in which all expression is also a stable or the product of a stable and a single variable. Linear objective functions can contain one or more than one variables. Linear objective function is happening among great dependability in applied mathematics. A linear function is one whose diagram is a straight line.
Format of Linear Equations and Objective Function:
Objective function:
A function connected by an optimization problem which determines how good quality a solution is, for instance, the total cost of limits in a solution to a travelling salesman problem.
Linear equations:
A familiar type of linear equation in the two variables x and y is,
y =mx+b.
Here m and b is constants. Now the expression linear is derivative from a graphical line of diagram. To facilitate is straight line is happening at a graph.
General form:
Ax+By+C=0.
Where, A and B both not equal to zero.
Standard form:
Ax+By=C.
Where, A, B, and C are integers.
Slopeintercept form:
y=mx+b.
Where m indicates the slope of line and b indicates the y intercept.
Linear functions:
A linear function is definite as a function whose chart consists of sectors of one straight line through its domain.
We know how to found the linear function and it acquires value f (a) at a and f (b) at b during the following formula:
f(x)=f(a) (x-b)/(a-b) + f(b) (x-a)/(b-a).
Because the first term is Zero (0) when x is b and is f (a) when x is a, while the second term is Zero (0) when x is a and is f(b) when x is b.
