3 100 The marginal profit from producing x widgets is given by P'(x) = 72,600e-0.12x. Suppose it were possible for this firm to make infinitely many widgets. What would its total profit be? 11) Find the accumulated present value of an investment for which there is a perpetual continuous money flow of $21,000 per year. Assume that the interest rate is 3.5% compounded continuously. 12) Find the capitalized cost with co= $375,000, k = 2.5%, and m(t) = $12,000. Round to the nearest dollar. 0 20 5. hp

3 100 The marginal profit from producing x widgets is given by P'(x) = 72,600e-0.12x. Suppose it were possible for this firm to make infinitely many widgets. What would its total profit be? 11) Find the accumulated present value of an investment for which there is a perpetual continuous money flow of $21,000 per year. Assume that the interest rate is 3.5% compounded continuously. 12) Find the capitalized cost with co= $375,000, k = 2.5%, and m(t) = $12,000. Round to the nearest dollar. 0 20 5. hp

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

ChapterB: Differential Calculus Techniques In Management

Section: Chapter Questions

Problem 7E

See similar textbooks

Similar questions

Lorenz curves also can be used to provide a relative measure of the distribution of the total assets of a country. Using data in a report by the economic committee of a certain country, an economist produced the following Lorenz curves for the distribution of total assets in the country in 1963 and 1983, shown below. f(x) = x10 Lorenz curve for 1963 g(x) = x13 Lorenz curve for 1983 Find the Gini index of income concentration for each Lorenz curve and interpret the results. .... What is the Gini index for 1963? (Round to three decimal places as needed.) What is the Gini index for 1983? (Round to three decimal places as needed.) Interpret your results. O A. Total assets were more equally distributed in 1963 O B. Total assets were more equally distributed in 1983 O c. Total assets were distributed the same in 1963 as in 1983.
Give typing answer with explanation and conclusion You have opened your own word-processing service. You bought a personal computer, and paid $5,000 for it. However, due to the cost changes in the computer industry, the current price of an equivalent machine is $2,500. You could sell any used machine for $1,000. If you were not word processing, you could earn $20,000 per year at an alternative job. Assume that the interest rate is 10%. You can also hire an assistant who can do everything that you can do for $20,000 per year (you would still continue to do word processing). One person using one computer can produce 11,000 typed pages per year, and the price per page for your service is $2. You are considering three options: (A) expand your business by hiring an assistant; (B) leave your business the way it is; (C) shut down. Fill in the Blank For Option B, economic profit is $_______.
Marcel Thiessen purchased a home for $206,900 and obtained a 15-year, fixed-rate mortgage at 9% after paying a down payment of 10%. Of the first month's mortgage payment, how much is interest and how much is applied to the principal? (Round your answer to the nearest cent.) interest applied to the principal
To make CDs look more attractive as an investment than they really are, some banks advertise that their rates are higher than their competitors' rates; however, the fine print says that the rate is based on simple interest. If you were to deposit $16,000 at 10.00% per year simple interest in a CD, what compound interest rate would yield the same amount of money in 3 years? (Round the final answer to three decimal places.) The compound interest rate that would yield the same amount of money in 3 years is % per year.
Suppose Crystal Wilson wants to accumulate $1,000,000 by the time she retires in 40 years. If she earns 10% on her investments, how much must she invest each year in order to realize her goal?
George wants to retire at 65 with $1,000,000 in savings. He plans to deposit a lump sum on his birthday each year. How much will he need to invest each year if he starts saving at 25? 35? 45? Assume an interest rate of 6%
Economics In 54 months time you expect a cash flow of $3 million. Calculate it’s present value (PV) given the 54-month interest rate is currently 4%, with a volatility of 120 basis points (bps). Explain, using equations with properly-defined mathematical notation, how to map this cash flow to vertices at 4 years and 5 years, in such a way that the volatility of the present value of the mapped cash flow remains at 120 bps. Suppose the 4-year rate has a volatility of 110 bps and the 5-year rate has a volatility of 150 bps, and their correlation is 0.9. How much should be mapped to each vertex. Give your answer in PV terms and round your answers to whole $ values.
An investor can invest money with a particular bank and earn a stated interest rate of 4.40%; however, interest will be compounded quarterly. What i are the nominal, periodic, and effective interest rates for this investment opportunity? Interest Rates Nominal rate Periodic rate Effective annual rate Rahul needs a loan and is speaking to several lending agencies about the interest rates they would charge and the terms they offer. He particularly likes his local bank because he is being offered a nominal rate of 4%. But the bank is compounding bimonthly (every two months). What is the effective interest rate that Rahul would pay for the loan? ○ 3.945% 4.152% 4.067% 04.186 % Another bank is also offering favorable terms, so Rahul decides to take a loan of $12,000 from this bank. He signs the loan contract at 5% comanded daily for 12 months. Based on a 365-day year, what is the total amount that Rahul owes the bank at the end of the loan's term? (Hint: To calculate the number of days,…
Question 9 What is the proper factor notation for calculating the present worth of a gradient series, given a gradient amount of $500, an interest rate of 2%, and the number of periods equal to 10? P = $500(P|F 2%, 10) P = $500(G|P 2%, 10) P = $500(P|A 2%, 10) P = $500(P|G 2%, 10)
Suppose that your rich uncle has $1,000,000 that he wishes to distribute to his heirs at the rate of $100,000 per year. If the $1,000,000 is deposited in a bank account that earns 6% interest per year, how many years will it take to completely deplete the account?
If XYZ Bank advertises a savings account with an interest rate of 8.5% p.a. compounded weekly, what is the effective interest rate for the account? (Note: Give your answer as a percentage to two decimal places)
Draw the cash flow diagram with your solution.In a certain department store, the monthly salary of a saleslady is partly constant and partly varies with her sales for the month. When the value of her sales for the month is P10,000, her salary for the month is P900. When her salary for the month goes up to P12,000, her monthly salary becomes P1,000. What must be the value of her sales for the month so that her salary for the month will be P2,000?