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 B. 35x2 + 34x + 8
Answer:
90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World
Step-by-step explanation:
Since this is a problem of proportion we can use the Rule of three to solve this. We do this by multiplying the diagonal available values and dividing by the third value in order to get the missing variable, which in this case would be the number of stamps in the other country. Like so...
1.5 <=====> 135 stamps
1.2 <=====> x stamps (United States)
(1.2 * 135) / 1.5 = 108 stamps (United States)
1.5 <=====> 135 stamps
1 <=====> x stamps (Canada)
(1 * 135) / 1.5 = 90 stamps (Canada)
Finally, we can see that Katie had 90 stamps from Canada, 108 stamps from the United States, and 135 stamps from the Rest of the World. All creating a ratio or 1:1.2:1.5
