Answer:The answer below which the image.
Step-by-step explanation:
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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

Craig has every 13th night and Edie has every 5th night off.
You have to find LCM - the Least Common Multiple that is the smallest ("least") number that both 13 and 5 will divide into.
Since numbers 13 and 5 are both prime, then LCM(13,5)=13·5=65.
This means, they will have the same every 65th night off.