Quadratic Revenue Function Is Defined As
A travel agenxy offers a group rate of 2400 per person for a week in london if 16 people sign up for the tour.
Quadratic revenue function is defined as. With the corresponding revenue function defined as. Some quadratic equations must be solved by using the quadratic formula. I am trying to determine a quadratic function to represent the following description. H 159 000 2 2 500 31 8 h 159 000 2 2 500 31 8.
Determine the y value of the vertex. A quadratic function is of the form latex f x ax 2 bx c latex where a is a nonzero constant b and c are constants of any value and x is the independent variable. For each additional person who signs up the price per person is reduced 100 how many people in total must sign up for the tour in order for the travel agency to maximize their revenue. Is called a generalized quadratic function chambers 1988 a transformed quadratic function diewert 2002 or is said to have a second order taylor s series approximation interpretation.
R x p max py. The solutions to a quadratic equation are known as its zeros or roots. The minimum or maximum value of a quadratic function can be used to determine the range of the function and to solve many kinds of real world problems including problems involving area and revenue. A quadratic function s minimum or maximum value is given by the y value of the vertex.
It is defined by general form of a quadratic function the function that describes a parabola written in the form where and are real numbers and roots in a given function the values of at which also called zeros. We now have a quadratic function for revenue as a function of the subscription charge. H 159 000 2 2 500 31 8 h 159 000 2 2 500 31 8. To find the price that will maximize revenue for the newspaper we can find the vertex.
For the quadratic revenue function this result holds in both types of true models whereas for the translog price output distance function it holds in true translog models only. Find the vertex of the quadratic equation. To find the price that will maximize revenue for the newspaper we can find the vertex. For example when k 100 and g 1 3 the proportion of the quadratic function based estimates possessing wrong curvature falls from 52 3 to 16 4 and then to.
Write a quadratic equation for a revenue function.