Answer:
The total revenue is
.
The marginal revenue is
.
The fixed cost is $900.
The marginal cost function is
.
Step-by-step explanation:
The Total Revenue (
) received from the sale of
goods at price
is given by

The Marginal Revenue (
) is the derivative of total revenue with respect to demand and is given by

From the information given we know that the price they can sell cakes is given by the function
, where
is the number of cakes sold per day.
So, the total revenue is

And the marginal revenue is

The Fixed Cost (
) is the amount of money you have to spend regardless of how many items you produce.
The Marginal Cost (
) function is the derivative of the cost function and is given by

We know that the total cost function of the company is given by
, which it is equal to

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.
And the marginal cost function is

Answer:
the absolute value of an integer is equation to the opposite of the integer
16, because all the other numbers are divisible by 3.
Or it could be 6 because it only has one digit while the others have 2
Answer:
Well Where are the graphs
Step-by-step explanation:
Answer:
It depends on the situation being modeled.
Step-by-step explanation:
Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.
Then t=8.33s is the time the object reached the maximum height.
The maximum height is the y-value of the vertex, which is 236.67 feet.
In this case the quadratic curve opens downwards.
The vertex is then the maximum point on this curve.