Revenue Equation From Demand Equation
A sample sales revenue calculation.
Revenue equation from demand equation. Identify p 0 and q 0 which are the initial price and quantity respectively and then decide on the target quantity and based on that the final price point which is termed as q 1 and p 1 respectively. P a b q a intercept where price is 0. Qd a b p q quantity demand. For service based companies the formula is revenue number of customers x average price of services.
A monopolist for a specialized product faces a market demand curve of p 5000 4q. Substitute the result you found from part a into the equation r xp to find the revenue equation. The revenue function shows the maximum income a firm can obtain from selling a given quantity of its. Find the revenue function.
P price of the good. Graph the profit function over a domain that includes both break even points. 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. A linear demand curve can be plotted using the following equation.
Evaluate cost demand price revenue and profit at q 0 text find all break even points. Derive the marginal revenue equation based on this linear demand curve. For a single product you can find the revenue by multiplying the quantity of the product sold x by the demand equation p. This has been a guide to marginal revenue formula.
In this video we maximize the revenue from a linear demand function by finding the vertex of a quadratic function. The company keeps marginal revenue inside the constraint of the price elasticity curve but they can adjust their output and price to optimize their profitability. Last year we sold 1 000 game consoles for 350 per piece. Identify the fixed and variable costs.
Find the maximum revenue for the demand equation eq q 5x 130 eq. Why the sales. A company s revenue is the amount of money that comes in from sales before business costs are subtracted. Hence less supply will increase demand and increase the willingness of a customer to pay a high price.
Sales revenue 1 000 x 350 350 000. A all factors affecting price other than price e g. Price elasticity of demand calculation step by step price elasticity of demand can be determined in the following four steps. For a product based business the formula is revenue number of units sold x average price.
Now work out the numerator of the formula which. Income fashion b slope of the demand curve. Find the revenue and profit functions. After some research a company found out that if the price of a product is 50 dollars the demand is 6000.
The inverse demand equation can also be written as.