Practical Management Science
6th Edition
ISBN: 9781337671989
Author: WINSTON
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 97P
Summary Introduction
To determine: The way to maximize the net profits by buying and selling bonds.
Linear programming:
It is a mathematical modeling procedure where a linear function is maximized or minimized subject to certain constraints. This method is widely useful in making a quantitative analysis which is essential for making important business decisions.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Bruin Properties is in escrow to buy a 175,000 square foot shopping center in Camarillo, California for $35,000,000. Bruin Properties can borrow $24,000,000 fixed rate fully amortizing over 30 years at a 6.0% annual interest rate with equal monthly payments of principal and interest or it can borrow $28,000,000 fixed rate fully amortizing over 30 years at a 7.0% annual interest rate with equal monthly payments of principal and interest. What is the incremental annual borrowing cost for the additional $4,000,000 loan amount if each loan would be outstanding for the full 30 year term?
a.13.0%
b.12.4%
c.11.5%
d. 7.0%
A young computer engineer has $12,000 to invest and three different investment options (funds) to choose from. Type 1 guaranteed investment funds offer an expected rate of return of 7%, Type 2 mixed funds (part is guaranteed capital) have an expected rate of return of 8%, while an investment on the Stock Exchange involves an expected rate of return of 12%, but without guaranteed investment capital. Computer engineer has decided not to invest more than $2,000 on the Stock Exchange in order to minimize the risk. Moreover for tax reasons, she needs to invest at least three times more in guaranteed investment funds than in mixed funds.
Assume that at the end of the year the returns are those expected; she is trying to determine the optimum investment amounts.
(a) Express this problem as a linear programming model with two decision variables.(b) Solve the problem with the graphical solution procedure and define the optimum solution.
money borrowed for personal reasons; to be repaid within
a specific time frame and with added interest
money borrowed for the purchase of real estate; to be
repaid within a specific time frame and with added interest
money borrowed for business reasons; to be repaid within
a specific time frame and with added interest
money borrowed for the purchase of a vehicle; to be
repaid within a specific time frame and with added interest
: Business Loan
:: Auto Loan
:: Mortgage Loan
:: Personal Loan
1
4
6.
8.
9.
Finish
Si
Chapter 4 Solutions
Practical Management Science
Ch. 4.2 - Prob. 1PCh. 4.2 - Prob. 2PCh. 4.2 - Prob. 3PCh. 4.2 - Prob. 4PCh. 4.2 - Prob. 5PCh. 4.2 - Prob. 6PCh. 4.3 - Prob. 7PCh. 4.3 - Prob. 8PCh. 4.3 - Prob. 9PCh. 4.3 - Prob. 10P
Ch. 4.3 - Prob. 11PCh. 4.3 - Prob. 12PCh. 4.4 - Prob. 13PCh. 4.4 - Prob. 14PCh. 4.4 - Prob. 15PCh. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - Prob. 19PCh. 4.5 - Prob. 20PCh. 4.5 - Prob. 21PCh. 4.5 - Prob. 22PCh. 4.5 - Prob. 23PCh. 4.5 - Prob. 24PCh. 4.5 - Prob. 25PCh. 4.6 - Prob. 26PCh. 4.6 - Prob. 27PCh. 4.6 - Prob. 28PCh. 4.6 - Prob. 29PCh. 4.7 - Prob. 30PCh. 4.7 - Prob. 31PCh. 4.7 - Prob. 32PCh. 4.7 - Prob. 33PCh. 4.7 - Prob. 34PCh. 4.7 - Prob. 35PCh. 4.7 - Prob. 36PCh. 4.7 - Prob. 37PCh. 4.7 - Prob. 38PCh. 4.7 - Prob. 39PCh. 4.7 - Prob. 40PCh. 4.8 - Prob. 41PCh. 4.8 - Prob. 42PCh. 4.8 - Prob. 43PCh. 4.8 - Prob. 44PCh. 4 - Prob. 45PCh. 4 - Prob. 46PCh. 4 - Prob. 47PCh. 4 - Prob. 48PCh. 4 - Prob. 49PCh. 4 - Prob. 50PCh. 4 - Prob. 51PCh. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Prob. 56PCh. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62PCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - Prob. 67PCh. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - Prob. 71PCh. 4 - Prob. 72PCh. 4 - Prob. 73PCh. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Prob. 77PCh. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - You want to take out a 450,000 loan on a 20-year...Ch. 4 - Prob. 82PCh. 4 - Prob. 83PCh. 4 - Prob. 84PCh. 4 - Prob. 85PCh. 4 - Prob. 86PCh. 4 - Prob. 87PCh. 4 - Prob. 88PCh. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Prob. 93PCh. 4 - Prob. 94PCh. 4 - Prob. 95PCh. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - Prob. 98PCh. 4 - Prob. 99PCh. 4 - Prob. 100PCh. 4 - Prob. 101PCh. 4 - Prob. 102PCh. 4 - Prob. 103PCh. 4 - Prob. 104PCh. 4 - Prob. 105PCh. 4 - Prob. 106PCh. 4 - Prob. 107PCh. 4 - Prob. 108PCh. 4 - Prob. 109PCh. 4 - Prob. 110PCh. 4 - Prob. 111PCh. 4 - Prob. 112PCh. 4 - Prob. 113PCh. 4 - Prob. 114PCh. 4 - Prob. 115PCh. 4 - Prob. 116PCh. 4 - Prob. 117PCh. 4 - Prob. 118PCh. 4 - Prob. 119PCh. 4 - Prob. 120PCh. 4 - Prob. 121PCh. 4 - Prob. 122PCh. 4 - Prob. 123PCh. 4 - Prob. 124PCh. 4 - Prob. 125PCh. 4 - Prob. 126PCh. 4 - Prob. 127PCh. 4 - Prob. 128PCh. 4 - Prob. 129PCh. 4 - Prob. 130PCh. 4 - Prob. 131PCh. 4 - Prob. 132PCh. 4 - Prob. 133PCh. 4 - Prob. 134PCh. 4 - Prob. 135P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- In the financial world, there are many types of complex instruments called derivatives that derive their value from the value of an underlying asset. Consider the following simple derivative. A stocks current price is 80 per share. You purchase a derivative whose value to you becomes known a month from now. Specifically, let P be the price of the stock in a month. If P is between 75 and 85, the derivative is worth nothing to you. If P is less than 75, the derivative results in a loss of 100(75-P) dollars to you. (The factor of 100 is because many derivatives involve 100 shares.) If P is greater than 85, the derivative results in a gain of 100(P-85) dollars to you. Assume that the distribution of the change in the stock price from now to a month from now is normally distributed with mean 1 and standard deviation 8. Let EMV be the expected gain/loss from this derivative. It is a weighted average of all the possible losses and gains, weighted by their likelihoods. (Of course, any loss should be expressed as a negative number. For example, a loss of 1500 should be expressed as -1500.) Unfortunately, this is a difficult probability calculation, but EMV can be estimated by an @RISK simulation. Perform this simulation with at least 1000 iterations. What is your best estimate of EMV?arrow_forwardSeas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?arrow_forwardJohn Johnson, one of your classmates, is preepairing to launch an e-commerce company to sell home repair guidebooks, tools and other related material for home repairs. He has just told you that he talked to his grandmother over the weekend and she has greed to lendd her 25000 thousand euros to launch the company. When you askedJohn what arrangements he has made with his grandmother to formalize the loan, he looked puzzled and said "She plans to send me a check in a week or so, she just needs to get them out of her savings account". Do you agree/disagree with John's actions? What would you advise him to do?arrow_forward
- Eight years ago, Burt Brownlee purchased a government bond that pays 3.60 percent interest. The face value of the bond was $1,000. What is the dollar amount of annual interest that Burt received from his bond investment each year? Assuming that comparable bonds are now paying 2.40 percent, will Burt's bond increase or decrease in value? Why did the bond increase or decrease in value?arrow_forwardSuppose that you want to invest $10,000 in the stock market by buying shares in one of two companies: A and B. Shares in company A though risky, could yield a 50% return on investment during the next year. If the stock market if conditions are not favorable (bear market) the stock may lose 20% of it value. Company B provides safe investments with 15% return in a bull market and only 5% in a bear market Ali the applications you have consulted are predicting a 60% chance for a bull market and 40% for a bear market. Where you invest your money? Construct a decision tree.arrow_forwardWhere a financial institution makes a loan commitment, the borrower, in drawing down on their loan commitment, causes increased cash flow needs by the DI to fund the loan commitments. There are three ways a DI can offset the effect of Asset-side liquidity risk such as drawing down of a loan commitment in all of the following sitiuations Except: a. Reduce excess cash reserves to minimum levels required to meet reserve requirements based on the decision made by management independant of regulatory requirements. b. Reduce balance sheet items such as retain earnings to the meet the minimum required capital levels. c. Taking offsetting measures such as borrowing funds or even purchasing funds on the money market. d. Reducing liquid type assets on their balance sheet such at T-bills by selling them.arrow_forward
- 9) Today is your 20th birthday. Your parents just gave you $5,000 that you plan to use to open a stock brokerage account. Your plan is to add $500 to the account each year on your birthday. Your first $500 contribution will come one year from now on your 21st birthday. Your 45th and final $500 contribution will occur on your 65th birthday. You plan to withdraw $5,000 from the account five years from now on your 25th birthday to take a trip to Europe. You also anticipate that you will need to withdraw $10,000 from the account 10 years from now on your 30th birthday to take a trip to Asia. You expect that the account will have an average annual return of 12 percent. How much money do you anticipate that you will have in the account on your 65th birthday, following your final contribution?arrow_forwardWarren Buffy is an enormously wealthy investor who has built his fortune through his legendary busimen acumen. He currently has been offered three major investments and would like to choose one. The first one is a conservative investment that would perform well in an improving economy and only suffer a small loss in a worsening economy. The second is a speculative investment that would perform extremely well in an improving economy but would do very badly in a worsening economy. The third is a countercyclical investment that would lose some money in an improving economy but would perform well in a worsening economy. The respective payoffs (millions) and the associated probabilities as shown in the Table below. Decision alternatives Improving Stable Worsening Conservative 30.00 5.00 -8.00 Speculative 40.00 10.50 -30.00 Countercyclical -5.0…arrow_forwardA few years ago, Michael purchased a home for $394,000. Today, the home is worth $520,000. His remaining mortgage balance is $166,000. Assuming Michael can borrow up to 80 percent of the market value of his home, what is the maximum amount he can borrow?arrow_forward
- The Schoch Museum (see Problem 30 in Chapter 11) is embarking on a five-year fundraising campaign. As a nonprofit institution, the museum finds it challenging to acquire new donors, as many donors do not contribute every year. Suppose that the museum has identified a pool of 8,000 potential donors. The actual number of donors in the first year of the campaign is estimated to be somewhere between 60% and 75% of this pool. For each subsequent year, the museum expects that a certain percentage of current donors will discontinue their contributions. This is expected to be between 10% and 60%, with a most likely value of 35%. In addition, the museum expects to attract some percentage of new donors. This is assumed to be between 5% and 40% of the current year’s donors, with a most likely value of 10%. The average contribution in the first year is assumed to be $50 and will increase at a rate between 0% and 8% each subsequent year, with the most likely increase of 2.5%. Develop and analyze a…arrow_forwardStock in Company A sells for $89 a share and has a 3-year average annual return of $24 a share. The beta value is 1.26. Stock in Company B sells for $83 a share and has a 3-year average annual return of $18 a share. The beta value is 1.13. Derek wants to spend no more than $19,000 investing in these two stocks, but he wants to earn at least $2100 in annual revenue. Derek also wants to minimize the risk. Determine the number of shares of each stock that Derek should buy. Set up the linear programming problem. Let a represent the number of shares of stock in Company A, b represent the number of shares of stock in Company B, and z represent the total beta value. Minimize z3 1.26а + 1.13b subject to 89а + 83b s 19000 24a + 18b > 2100 a 2 0, b20. (Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.) Derek should buy 88 share(s) of stock in Company A and 0 share(s) of stock in Company B. (Round to the nearest integer as needed.)arrow_forwardM-REITs, or mortgage REITs, primarily invest in real estate loans and mortgage-backed securities that are often below investment grade. When a mortgage REIT decided some years ago to re-securitize a substantial portion of its CMBS "BB" and "B" securities, it received surprisingly high investment grade ratings of "A" and "BBB" from Standard & Poor's on the new securities that were created from the cash flows of the underlying portfolio of non-investment grade rated securities. But when the financial markets began to fall a few months later, that mortgage REIT quickly went bankrupt and the value of its "A" and "BBB" investment grade rated re-securities fell substantially. The intended purpose of the ratings agencies is: To produce substantial profits for the rating agencies from the fees paid to them for giving higher ratings on investments than might otherwise be appropriate To help businesses and governments raise needed capital by providing them with the ratings they need to…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,