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
The answer is C, Region A.
Answer:
45
I have a $60 yearly membership with something
18. The perimeter is simply √3 + √3 + √3 + √3 or 4√3cm, since the perimeter is just all sides added together. You could add the decimal numbers together using a calculator, which I'm not sure if you're supposed to do in your class.
The area is just width times length, so √3 • √3 = 3cm².
19. The perimeter is 2√5 + 2(9 - √5).
This can also be written as 2√5 + 18 - 2√5, which leaves you with a perimeter of 18ft.
The area would be √5 • (9 - √5), which leaves you with (9√5 - 5)ft².
20. The formula for the perimeter (or circumference) of a circle is π times the diameter of the circle. Using the radius of the circle, 1/π, the diameter is 2/π, so
π • 2/π = 2. The circumference of the circle is 2 inches.
The area of the circle is calculated with the equation πr², so
π(1/π)² = π • 1/(π²) = π/(π²) = π. The area is simply π in².
75%; so if we say there are 100 people in this city that means 60 of them live in houses and 40 of them live in apartments. Of the 60 living in houses 20% of them (12% of total population; 60 x .20) own their own business and those in apartments (40) 10% of them (4% of total pop.; 40 x .10) have their own business. In total 16 of the 100 people have businesses and 12 of those people live in houses so 12/16 equals .75. We multiply this by 100 to get the percent so there’s 75% that a person who owns a business in this city will also live in a house.
