Yes, 2y = 8 is a linear function. 2y = 8 is the same as y=8/2, or y=4, which is a vertical line.
yes
Well, f(x) = 6x + 9 is a function of x {it passes the vertical line test}. but y = 6x + 9 is an equation {linear equation of two variables}
No. Throwing a ball is a quadratic function.
No, this is not a function. The graph would have a vertical line at x=-14. Since there are more than one y value for every given x value, the equation does not represent a function. The slope of the equation also does not exist.
A linear objective function and linear constraints.
A linear objective function and linear constraints.
The objective function and the constraints.
Linear programming can be used to solve problems requiring the optimisation (maximum or minimum) of a linear objective function when the variables are subject to a linear constraints.
It is a programming problem in which the objective function is to be optimised subject to a set of constraints. At least one of the constraints or the objective functions must be non-linear in at least one of the variables.
It is a process by which a linear function of several variables, called the objective function, is maximised or minimised when it is subject to one or more linear constraints in the same variables.
The linear function Z=c1x1+c2x2+c3x3+..........+cnxn which is to minimized or maximized is called Objective Function of general Linear Programming Problem.The innequalities of LPP are called constraints.
Linear programming models involve optimizing an objective function subject to linear constraints. They assume additivity and proportionality in the relationships between decision variables and the objective function. Linear programming models also require non-negativity constraints on decision variables.
Yes. If the feasible region has a [constraint] line that is parallel to the objective function.
I'm not altogether clear about what you mean. However, the term 'linear programming' means a category of optimisation problems in which both the objective function and the constraints are linear. Please see the link.
It is usually the answer in linear programming. The objective of linear programming is to find the optimum solution (maximum or minimum) of an objective function under a number of linear constraints. The constraints should generate a feasible region: a region in which all the constraints are satisfied. The optimal feasible solution is a solution that lies in this region and also optimises the obective function.
One. To be a (non-trivial) linear programming problem both the objective function and the constraints must be linear. If there were no constraints then the objective function could be made arbitrarily large or arbitrarily small. (Think of a line in two-space.) By adding one constraint the objective function's value can be limited to a finite value.