Find Maximum Revenue Quadratic Equation

A market survey shows that for every 0 10 reduction in price 40 more sandwiches will be sold.

Find maximum revenue quadratic equation. The unit price of an item affects its supply and demand. To have a maximum either a must be negative or x must lie within fixed limits. B find the revenue equation. Determine the y value of the vertex.

You just find the. 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. 140 5x 2 5 1x is the revenue. To find the maximum or minimum value of a quadratic function start with the general form of the function and combine any similar terms.

Ax 2 bx c quad a 0. Now you need to find the value of x that is going to maximized 140 5x 2 5 1x 5x 2 1 5 x 350. Maximum profit using the quadratic equations functions inequalities and their graphs. Therefore its maximum is exactly mid point between the roots i e.

A find the linear price demand function. C how many sandwiches should be sold to maximize the revenue. A deli sells 640 sandwiches per day at a price of 8 each. We can see the maximum revenue on a graph of the quadratic function.

Write a quadratic equation for revenue. X min or max b 2a. Given an application involving revenue use a quadratic equation to find the maximum. Suppose the revenue equation is of the form r ax2 bx c where a b and c are constants and x is the variable.

To find what the maximum revenue is we evaluate the revenue function. Learn how to find the maximum revenue when the product is modeled by a quadratic function. This could also be solved by graphing the quadratic as in figure pageindex 12. In that case 1 5 2 5 1 5.

To calculate the value of this maximum substitute x n 130 into the parabola equation r n 5n 260 n 5 130 130 84500 dollars. This number gives the maximum to revenue. Learn how to find the maximum revenue when the product is modeled by a quadratic function. The best way to find to value of x that is going to give you the min or max of a quadratic formula is the following.

Find the vertex of the quadratic equation. A x 2 b x c a 0. 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 example if you re starting with the function f x 3x 2x x 2 3x 2 4 you would combine the x 2 and x terms to simplify and end up with f x 2x 2 5x 4.

Begin align text maximum revenue 2 500 31 8 2 159 000 31 8 2 528 100 end align analysis.