Revenue Cost Function Break Even
R 0 50 x lemonade 1 00 x cookie.
Revenue cost function break even. A revenue function is r x 22x and a cost function is c x 9x 341. In other words p x r x c x. However pqr is selling 1 500 pizzas monthly which is higher than the break even quantity which indicates that the company is making a profit at the current level. Calculating the cost function.
A break even point analysis is used to determine the number of units or dollars of revenue needed to cover total costs fixed and variable costs fixed and variable costs cost is something that can be classified in several ways depending on its nature. Break even is a point where there is no profit and no loss. Find the number of units that must be produced to break even. R x 450x marginal revenue marginal revenue slope marginal revenue 67500 45000 150 100 prs 450 15.
For low volumes there are few units to spread the fixed cost so the average cost is very high. The revenue function r x and the cost function c x for a particular product are given. Break even points in units 9 000 9. Graphs of revenue cost and profit functions for ice cream bar business at price of 1 50.
Therefore pqr ltd has to sell 1 000 pizzas in a month in order to break even. If the lemonade stand also sold cookies for 1 apiece the revenue function would be. Break even points in units 1 000. One of the most popular methods is classification according to fixed costs and variable costs.
X lemonade is the number of lemonades sold x cookie is the number of cookies sold. The break even point occurs when the total revenue equals the total cost or in other words when the profit is zero. 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. The break even point is.
Even in a simple situation where only one item is sold a cost function typically has two.