A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per day, and p is price. The total cost function of the company is given by c = (30+5x) 2 where x is previously defined, and c is total cost.

Find the revenue and marginal revenue functions [Hint: revenue is price multiplied by quantity i. e. revenue = price × quantity]

Step-by-step explanation:

We have where is the number of cakes sold per day and is the price.

Also, we have where is also the number of cakes and is the total cost.

The revenue would be

The marginal revenue would be the derivative of the revenue function

Therefore, the answers are and , respectively.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.