Linear Revenue Function Formula
Cost revenue and profit functions.
Linear revenue function formula. Find the revenue function. In this video we maximize the revenue from a linear demand function by finding the vertex of a quadratic function. Difference between the graph of the revenue function. An objective function is max p x y 3x 2y or min c x y 4x 8y constraints are.
Earl s biking company manufactures and sells bikes. Finding instantaneous rate of change of a function. Revenue the revenue resulting from one or more business transactions is the total payment received sometimes called the gross proceeds. The company s revenue function r x.
A linear programming problem consists of an objective function subject to a system of constraints example of what they look like. Essentially the average cost function is the variable cost per unit of 0 30 plus a portion of the fixed cost allocated across all units. Graphs of revenue cost and profit functions for ice cream bar business at price of 1 50. Revenue and cost functions are rarely simple linear functions.
If r x is the revenue from selling x items at a price of m each then r will be the linear function r x mx and the selling price m can also be called the marginal revenue. Then you will need to use the formula for the revenue r x p x is the number of items sold and p is the price of one item. After some research a company found out that if the price of a product is 50 dollars the demand is 6000. In this video we maximize the revenue from a linear demand function by.
However if the price is 70 dollars the demand is 5000. 2x 6y 60 5x 3y 120 a linear programming problem consists of a both the objective function subject to restraints. The company s cost function c x. In addition earl knows that the price of each bike comes from the price function find.