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A magazine has [x],000 subscribers paying $10 per year per subscription. The manager surveys the subscribers and believes it will sell 100 fewer subscriptions for every $2 increase in the subscription price.  What is the optimal subscription price to charge if the firm’s goal is to maximize its revenues?  Enter your answer as a whole dollar amount (without a dollar sign).

Assume a firm purchases equipment for $325,000 and its useful life is expected to be 4 years, with no salvage value.  The firm depreciates the equipment using a “straight-line” basis. Construct a linear equation (V=f(t)) for solving for the book value (V) given the amount of time that has passed (t). 

Assume a firm purchases equipment for $150,000 and its useful life is expected to be 12 years, with no salvage value.  The firm depreciates the equipment using a “straight-line” basis. Construct a linear equation (V=f(t)) for solving for the book value (V) given the amount of time that has passed (t). 

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: