Blog

Sandman’s Bay Shrimp Co. has the following monthly Cost function:  C = f(q) = [x] + [y]q, where q is pounds of shrimp. What is the company’s variable cost of producing each pound of shrimp?

Donovan’s Bay Shrimp Co. has the following monthly Cost function:  C = f(q) = [x] + [y]q, where q is pounds of shrimp. What is the company’s fixed cost of operations per month?

Using the demand function below (where p = price and q = quantity), first determine the total revenue function so that you can find the marginal revenue (MR) function.

Given the function: f (x, z) = x3z + [x]x + [y]z – 100, evaluate the partial derivative of f with respect to x

Assume a firm purchases equipment for $750,000 and its useful life is expected to be 25 years, with no salvage value.  If the firm depreciates the equipment using a “straight-line” basis, which expression represents the book value (V) of the equipment as a function of time (t)?

What is the derivative of the function below with respect to x?  

Find the relative growth rate of profits at t = 64, given the following profit function: 

Given a firm’s total cost function is C = f(q) = 15q – 600q2 + [x]q3, average total cost is minimized at q = ________.  Enter your answer as a whole number.

Given that consumer demand for a firm’s output can be expressed as

Determine the correct mathematical representation of a firm’s profit function (where