Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4, Problem 112P
Summary Introduction
To determine: The way Company K can minimize the cost of paying the bills on time.
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
Pls help ASAP for both
Your sister and her fiancé are planning on getting engaged (and later married) in the future. Wanting
to start saving up for the wedding costs, they ask you
having $60,000 saved four years from now. They also would like to withdraw $15,000 in a year to pay
for the engagement rings.
help them invest their money in the hopes of
Besides their initial deposit, they also plan to make another deposit in three years as they are
expected to receive an $8,000 settlement from a class-action lawsuit by then.
There are one-year and two-year investments available for each year as well as a special three-year
investment that becomes available in a year, shown in the diagram below. One-year investments
return 2.5%, two-year investments return 6%, and the three-year investment return 10%.
Formulate as a linear program using the variables that are listed on the diagram and solve to
minimize the initial deposit your sister and her fiancé must make.
Deposit (Xo)
Present
Хо1
Withdrawal
Xo2
($15,000)
Year…
Formulate but do not solve the problem.The management of a private investment club has a fund of $200,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 16%/year; medium-risk stocks, 8%/year; and low-risk stocks, 6%/year. The investment in low-risk stocks is to be twice the sum of the investments in stocks of the other two categories. If the investment goal is to have an average rate of return of 9%/year on the total investment, determine how much the club should invest in each type of stock. (Assume that all the money available for investment is invested. Let x, y, and z denote the amount, in dollars, invested in high-, medium-, and low-risk stocks, respectively.)
_____= 200,000
_____= z
_____ = .09(200,000)
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
- Seas 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_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_forwardRajan wanted a radio from Jacky's. It appears that Rajan is particularly interested in purchasing a Radio from the inexpensive retailer's sales manager for consumer electronics. He tells Jacky, the salesperson at the inexpensive store where he thinks he'll get the best deal, that his old radio died and he wants to listen to his favourite tunes. He wants a replacement radio as quickly as possible. In three and a half weeks, Rajan's favourite model will be 10% off.He suspects Rajan won't wait and will find another job. Jacky will earn less on the lowered price. He thinks that telling Rajan of the sale makes little sense.When Jacky tells Rajan that the radio set he wants is no longer available and won't be for another week, Rajan is enraged. Fearing losing the business, Jacky begs his sales manager, Michelle, to speed up delivery. Michelle says it's impossible and suggests Jacky tell Rajan the store can get the set in 24 hours and sell him the demo model. Michelle says the sample is new…arrow_forward
- As part of a campaign to promote its annual clearance sale, Excelsior Company decided to buy television advertising time on Station KAOS. Excelsior's television advertising budget is $111,000. Morning time costs $3000/min, afternoon time costs $1000/min, and evening (prime) time costs $12,000/min. Because of previous commitments, KAOS cannot offer Excelsior more than 6 min of prime time or more than a total of 25 min of advertising time over the 2 weeks in which the commercials are to be run. KAOS estimates that morning commercials are seen by 200,000 people, afternoon commercials are seen by 100,000 people, and evening commercials are seen by 600,000 people. How much morning, afternoon, and evening advertising time should Excelsior buy to maximize exposure of its commercials? morning min afternoon min evening minarrow_forwardA UCLA student saved $100,000 for the down payment on a $1,000,000 one-bedroom, two-bathroom home in Encino, California. She can qualify for either a $900,000 fully amortizing 30-year first mortgage loan at a 4.75% annual interest rate from Wells Fargo Bank, or she can qualify for a $790,000 fully amortizing 30-year first mortgage loan at a 4.25% annual interest rate with a $110,000 fully amortizing 30-year second mortgage loan at an 8.00% annual interest rate from Citibank. Should the student prefer the single $900,000 mortgage loan from Wells Fargo Bank or should she prefer the $790,000 first mortgage loan and $110,000 second mortgage loan package from Citibank? Single loan from Wells Fargo Bank No difference Depends on all the terms and conditions in the loan documents from Wells Fargo Bank as compared to those from Citibank Loan package from Citibankarrow_forwardA home improvement store sells hydrangea plants during the spring planting season. The hydrangeas cost the store $15 per unit, and sell to customers for $45, but any leftovers at the end of the season are salvaged to a local landscaper for $7/unit. A competitor has advertised that it guarantees 99% of customers find the product they’re looking for in stock. The competitor’s posted price for hydrangeas is $50, and they salvage to the same local landscaper for $7/ hydrangea plant. If the competitor’s advertised service level is correct for hydrangeas and they follow an optimal stocking policy, what does it imply their cost per hydrangea is?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_forwardA trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return. Bond Annual Return Maturity Risk Tax Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues. At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free. Formulate the LP model for this problem. Create the spreadsheet model and use Solver to solve the problem. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardA bond has a face value of $1,000, an annual coupon rate of 3.70%, an yield to maturity of 7.4%, makes 2 (semi-annual) coupon payments per year, and 6 periods to maturity (or 3 years to maturity). Determine the duration of this bond. Notice that there is a function “Duration” in Excel, but you probably would like to check your answer with an analytical solution based on the specific duration formula. Note: This is an excel based assignment so please work it out on excel highlighting the formulas. thank youarrow_forward
- Author: Leo A. Ruggle, Professor, Department of Accounting, Mankato State University Arnie Armstrong has been with Pierce Auto Parts Manufacturing Company for 23 years. Recently, he was appointed Director of Manufacturing Computer Services. In just six weeks in this new position, [he] has moved to reduce the amount of information provided to manufacturing department managers by 60 percent. He argues that excess data is distracting, unused, and expensive to provide. Willy McClean has been department manager for 12 years. During a coffee break with some of his department production supervisors, Willy is quite vocal about the change. “Who’s this guy Armstrong to tell us what data we need? He needs to be out here for a few weeks to find out what it’s like. Keep it quiet, but I’ve got a contact in Computer Services who’ll get me all the data analyses I want for just a $20 bill each month. It’s a good deal, and Armstrong will never know. How does he expect us to make good decisions about…arrow_forwardAventura Savings and Loan requires 15% down payment on a mortgage loan. What is the down payment needed to finance a $148,500 home?arrow_forwardUse excel for this problem A trust officer at the Blacksburg National Bank needs to determine how to invest $150,000 in the following collection of bonds to maximize the annual return. Bond Annual Return Maturity Risk Tax Free A 9.5% Long High Yes B 8.0% Short Low Yes C 9.0% Long Low No D 9.0% Long High Yes E 9.0% Short High No The officer wants to invest at least 40% of the money in short-term issues and no more than 20% in high-risk issues. At least 25% of the funds should go in tax-free investments, and at least 45% of the total annual return should be tax free. Formulate the LP model for this problem. Create the spreadsheet model and use Solver to solve the problem.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,