Revenue Function In Terms Of X

Find the number of units sold x that produces a maximum revenue.

Revenue function in terms of x. R x p x 85x 2 1000x b use the financial department s estimates to determine the cost function in terms of x. P x d evaluate the marginal profit at x 250. Marginal cost function c x the derivative of c x. 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.

Find the revenue function. So to maximize the revenue find the first derivative of the revenue function. P 1 10x 150 revenue is x p. The revenue function in terms of the number of units sold x is given as r 270x 0 1x 2 where r is the total revenue in dollars.

P 85x 1000 a find the revenue function in terms of x. Find the number of units sold x that produces a maximum revenue. R 280x 0 1x 2. Marginal profit function p x the.

Notice that y r x is a parabola opening downward it has a maximum at x 30 000 in other words when the restaurant sells 30 000 hamburgers. And the restaurant makes no revenue when r x 0 which means x 2 20 000. The revenue function in terms of the number of units sold x is given as. Where r is the total revenue in dollars.

R x b use the financial department s estimates to determine the cost functi c x c find the profit function in terms of x. These relationships can be expressed in terms of tables graphs or algebraic equations. X research source suppose the revenue function in terms of number of units sold is r q 500 q 1 50 q 2 displaystyle r q 500q frac 1 50 q 2. The price in dollars and the quantity x sold of certain product obey the demand equation.

A express the revenue r as a function of x. In words the word marginal can be read as the next unit marginal revenue r x the next unit will make this revenue. Marginal profit function p x the derivative of p x. These relationships are called the revenue function cost function and profit function.

However if the price is 70 dollars the demand is 5000. We first set up the revenue function r x x 60 000 x 20 000 x 2 20 000 3x. After some research a company found out that if the price of a product is 50 dollars the demand is 6000. Marginal cost function c x the next unit will be this cost.