Maximum Revenue Quadratic Equation

Write a formula where p equals price and q equals demand in the number of units.

Maximum revenue quadratic equation. A chain store manager has been told by the main office that daily profit p is related to the number of clerks working that day x according to the equations p 25x 2 300x. Maximum and minimum values of a quadratic polynomial we will learn how to find the maximum and minimum values of the quadratic expression a x 2 b x c a 0. For more help visit my website. A x 2 b x c a 0.

Suppose the revenue equation is of the form r ax2 bx c where a b and c are constants and x is the variable. Maximum profit using the quadratic equations functions inequalities and their graphs. A company has determined that if the price of an item is 40 then 150 will be demanded by consumers. The revenue is maximal 1800 at the ticket price 6.

Maximizing revenue word problems involving quadratic equations problem 1. To calculate maximum revenue determine the revenue function and then find its maximum value. Find the vertex of the quadratic equation. The maximum revenue is the value of the quadratic function 1 at z 2 r 200 400 1600 1800 dollars.

Revenue is the product of price times the number of units sold. Learn how to find the maximum revenue when the product is modeled by a quadratic function. For example you could write something like p 500 1 50q. Given an application involving revenue use a quadratic equation to find the maximum.

Ax 2 bx c quad a 0. Write a quadratic equation for revenue. The unit price of an item affects its supply and demand. Plot y revenue is presented as the function of the projected decrease of price.

To have a maximum either a must be negative or x must lie within fixed limits.