Reference no: EM13878142
1. a. Test the function f(x) = 1/3x3 + 3x2 - 27x + 10 for relative extrema.
b. Examine the function f(x) = x2ex - 2xex + ex for turning points and classify as maximum, minimum or point of inflexion.
2. The total revenue of a firm is R(q) = 21q + 2q2 and its total cost
C(q) = -1/3q3 -2q2 - 15q - 450. Where q is the firms output.
a. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is q = 10?
b. Determine the level of output for which profit is maximized.
3. The demand curve of a firm is p = 4000 - 33q and its total cost C(q) = 2q3 - 3q2 + 400q + 5000. Where q is the firm's output
a. Derive an expression R(q) for the firm's total revenue function.
b. Derive an expression 11(q) for the firm's profit function.
c. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is q = 10?
d. Determine the level of output for which profit is maximized.
|
Define the terms put option and call option
: Define the terms put option and call option. Which of the four common types of real options are similar to put options? Which are similar to call options?
|
|
What are the mean and variance of the portfolio value
: Financial Managers, Inc., buys and sells a large number of stocks routinely for the various accounts that it manages. Portfolio manager Sarah Bloom has asked for your assistance in the analysis of the Burde Fund. What are the mean and variance of the..
|
|
Write the households budget equation
: If this household purchases 100 units of food products each month, how many units of nonfood items it can buy
|
|
Rates expected to remain at current levels on into future
: McCue Inc.'s bonds currently sell for $1,200. They pay a $90 annual coupon, have a 25-year maturity, and a $1,000 par value, but they can be called in 5 years at $1,050. Assume that no costs other than the call premium would be incurred to call and r..
|
|
Derive an expression for the firms total revenue function
: Determine the level of output for which profit is maximized and derive an expression for the firms total revenue function.
|
|
What is the greatest challenge with reports produced
: What is the greatest challenge with reports produced for health care providers, managers, directors, and executives
|
|
Agreement to repay the loan with quarterly payment
: The Owner of a small business borrowed $70,000 with an agreement to repay the loan with quarterly payment over a five year time period. If the interest rate is %12 per year compounded quarterly, his loan payment each quarter is nearest to:
|
|
What is the expected annual pre-tax cash flow from operation
: What is the expected annual pre-tax cash flow from operations from this investment? Determine Periodic Cash Flow Based on Book (Accounting) Rate of Return Dillon, Inc.
|
|
What is the cost of the new machine
: The book rate of return (ARR) is expected to be 10 percent on the initial investment. The firm's tax rate is 20 percent. Required What is the cost of the new machine?
|