Revenue And Profit Equations
The equation for gross profit is.
Revenue and profit equations. If p x r x c x be the profit function then iv profit p x is maximum when mr mc. 1 revenue is equal to the number of units sold times the price per unit. Since profit is the difference between revenue and cost the profit functions the revenue function minus the cost function. For our simple lemonade stand the profit function would be.
Gross profit margin gross profit net sales net profit formula. Let s show a simple example. Therefore his revenue function is r x 3x. The output level that maximizes the company s profit and the maximum profit.
Profit function p x total income minus total cost. Revenue or total net sales 12 50 billion. In symbols π r c p q f v q. The profit function is just the revenue function minus the cost function.
A street vendor in new york city sells hot dogs for 3 00 each. C x the cost function. Therefore our profit function equation will be as follows. Profit r c.
Calculating the profit function. Gross profit net revenue cost of goods sold steps to calculate gross profit to calculate gross profit one needs to follow the below steps. Profit 0 50 x 50 00 0 10 x. Profit income cost p x r x c x marginal is rate of change of cost revenue or profit with the respect to the number of units.
If x represents the number of units sold we will name these two functions as follows. R x the revenue function. The letter p is reserved for use later as a symbol for price. Since profit is the difference between revenue and cost the.
The excess of total revenue over the total cost of production is called the profit. If r x is the total revenue and c x is the total cost then profit function p x is defined as p x r x c x some standard results. Here π is used as the symbol for profit. The letter p is reserved for use later as a symbol for price.
In symbols π r c p q f v q will be π r c 1 2 q 40 000. π r c 1 2 q 40 000. Gross profit 4 33 billion total revenue of 12 50b cogs of 8 17b. C 50 0 10 x lemonade 0 50 x cookie.
Here π is used as the symbol for profit. His fixed cost for maintaining his stand each day is 50 00 and his variable cost or the materials needed to make the. To obtain the revenue function multiply the output level by the price function. P x r x c x.