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
1. A factory worker in Cambodia makes 320,000 Cambodian Riels per month. If 1 U.S. dollar equals 4000 Cambodian Riels, how much does the factory worker make in U.S. in dollars per year?
For this case we must first take the amount $ per month.
We have then:
1 $ ---> 4000
x = ----> 320000
Solving for x we have
x = (320000/4000) * (1) = $ 80 / month
We have then that 1 year two 12 months
($ 80 / month) * (12 months / 1 year) = $ 960 / year
Answer
the factory worker make 960 U.S. in dollars per year
2. People in Japan on average eat 3 ounces of fish per day. How many pounds of fish is this per week?
For this case, the first thing you should know is that a week has 7 days.
We can make a rule of three to find the number of ounces per week
3 ---> 1
x = ----> 7
x = (7/1) * (3) = 21ounces / week
Then, we should do the conversion of ounces to pounds
1 oz = 0.0625 pounds
Thus,
(21ounces / week) * (0.0625 punds / 1 ounce) = 1.3125 pounds / week
answer
3 ounces of fish per day is 1.3125 pounds / week
3. The town of Lloró, Colombia has an average yearly rainfall of 500 inches. On average, how many centimeters of rain does the town get each day?
The first thing you should know in this case are the following conversions:
1 year = 365 days
1 inch = 2.54 centimeters
We have the annual average rainfall is
500 (inches / year)
Making the conversion we have
500 (inches / year) * (2.54) (centimeters / inches) * (1/365) (year / days) =
3.45 (centimeters / days)
Answer
the town get each day 3.45 (centimeters / days)
4. The average American student is in class for 330 min / day. How many hours / day is this? Part b) How many sec / day?
The first thing you should know for this case are the following conversions
1 hour = 60 minutes
1 minute = 60 seconds.
Making the right conversions we have
330 (min / day) * (1/60) (hour / minutes) = 5.5hours / day
On the other hand we have
330 (min / day) * (60/1) (seconds / minutes) = 19800 sec / day
answer
330 (min / day) = 5.5hours / day
330 (min / day) = 19800 sec / day
Answer: 136 ounces
Step-by-step explanation:
Given: The ratio of cranberries and raspberries is 8:9 .
Let quantity of cranberries= 8x , quantity of raspberries = 9x
If quantity of cranberries = 64 ounces
Quantity of raspberries = 9(8) = 72 ounces
Total quantity = 64 ounces + 72 ounces = 136 ounces
Hence, the total weight of berries purchased= 136 ounces
Answer:
20×(5×(-16) = (20×5)×(-16)
Step-by-step explanation:
They both equal -1600
