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

9514 1404 393
Answer:
$3144
Step-by-step explanation:
The tax due on $60,000 is ...
$60,000 × 5.4% - $96 = $3144 . . . tax due
_____
The detailed calculation is described at brainly.com/question/23711444. The only difference is the value used in the highest bracket, $60,000 instead of $50,000. This adds $540 to the tax that would be due for $50,000.
D. He will have $2,121.80.
After one year at 3% interst, $2000 becomes $2000 x 1.03 = $2,060.
During the second year, that $2060 x 1.03 becomes $2121.80
Answer:
This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6
Step-by-step explanation:
Step 1
Given the equation;
(x-6)(x+3)
Step 2
To determine the values of x that make the equation positive, the equation can be expressed as;
(x-6)(x+3)>0
x-6>0/(x+3)
x-6>0
x>0+6
x>6
This means that for (x-6)(x+3) to be positive, the value of x has to be greater than 6; x>6