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 63P
Summary Introduction
To determine: The way to maximize the cash on hand in a time of three years from now.
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.
Barbara Flynn sells papers at a newspaper stand for $0.40. The papers cost her $0.30, giving her a $0.10 profit on each one she sells. From past experience Barbara
knows that:
a) 20% of the time she sells 150 papers.
b) 20% of the time she sells 200 papers.
c) 30% of the time she sells 250 papers.
d) 30% of the time she sells 300 papers.
Assuming that Barbara believes the cost of a lost sale to be $0.05 and any unsold papers cost her $0.30 and she orders 250 papers.
Use the following random numbers: 14, 4, 13, 9, and 25 for simulating Barbara's profit. (Note: Assume the random number interval begins at 01 and ends at 00.)
Based on the given probability distribution and the order size, for the given random number Barbara's sales and profit are (enter your responses for sales as integers
and round all profit responses to two decimal places):
Random Number
Sales
Profit
14
4
13
9
25
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
- A project does not necessarily have a unique IRR. (Refer to the previous problem for more information on IRR.) Show that a project with the following cash flows has two IRRs: year 1, 20; year 2, 82; year 3, 60; year 4, 2. (Note: It can be shown that if the cash flow of a project changes sign only once, the project is guaranteed to have a unique IRR.)arrow_forwardYour 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…arrow_forwardLorna owns a home that is worth $385,000. She has a mortgage with a balance of $112,000. Calculate her equity in the home. $497,000 $76,000 $273,000 $245,000arrow_forward
- Assume that at the beginning of the year, you purchase an investment for $5,480 that pays $138 annual income. Also assume the investment’s value has decreased to $5,080 by the end of the year. What is the rate of return for this investment?arrow_forwardDonald Harris received a windfall and needs to invest it for tax reasons. He went to his brother-in-law, Joe Harris, who is a financial advisor. Joe prepared a matrix that illustrated the possible returns on investment for different investment strategies under different economic conditions. That matrix is given below. Donald Harris reads the Wall Drive Journal and came across an article that stated that the probability that there would be a major downturn would be 10%; the probability of a downturn would be 30%; the probability of an upturn would be 40%; and that the probability of a major upturn would be 20%. Based on these numbers, what investment strategy should Donald Harris adopt? Future Air Traffic Strategies Major Downturn Downturn Upturn Major Upturn Contrarian 20% 10% 5% -15% Risk Averse 2% 4% 7% 10% Growth -10% -8% 13% 20% Aggressive -25% -20% 11% 35% Group of answer choicesarrow_forwardYour answer is partially correct. An independent contractor for a transportation company needs to determine whether she should upgrade the vehicle she currently owns or trade her vehicle in to lease a new vehicle. If she keeps her vehicle, she will need to invest in immediate upgrades that cost $5,200 and it will cost $1,300 per year to operate at the end of year that follows. She will keep the vehicle for 5 years; at the end of this period, the upgraded vehicle will have a salvage value of $3,800. Alternatively, she could trade in her vehicle to lease a new vehicle. She estimates that her current vehicle has a trade-in value of $9,800 and that there will be $4,100 due at lease signing. She further estimates that it will cost $2,900 per year to lease and operate the vehicle. The independent contractor's MARR is 11%. Compute the EUAC of both the upgrade and lease alternatives using the insider perspective. Click here to access the TVM Factor Table Calculator. 1943.56 EUAC(keep): $…arrow_forward
- In the prospectus for the Brazos Aggressive Growth fund, the fee table indicates that the fund has a 12b-1 fee of 0.35 percent and an expense ratio of 1.55 percent that is collected once a year on December 1. Joan and Don Norwood have shares valued at $114,500 on December 1. What is the amount of the 12b-1 fee this year? What is the amount they will pay for expenses this year?arrow_forwardNippon Steel's expenses for heating and cooling a large manufacturing facility are expected to increase according to an arithmetic gradient beginning in year 2. If the cost is $550,000 this year (year 0) and will be $550,000 again in year 1, but then it is estimated to increase by $45,000 each year through year 12, what is the equivalent annual worth in years 1 to 12 of these energy costs at an interest rate of 11% per year? The equivalent annual worth is determined to be $arrow_forwardLast year, Martina opened an investment account with $7200 . At the end of the year, the amount in the account had decreased by 24.5% . How much is this decrease in dollars? How much money was in her account at the end of last year? Decrease in amount: $ Year-end amount: $arrow_forward
- Consider a project with the following cash flows: year 1, 2$400; year 2, $200; year 3, $600; year 4, 2$900; year 5, $1000; year 6, $250; year 7, $230. Assume a discount rate of 15% per year.a. Find the project’s NPV if cash flows occur at the ends of the respective years.b. Find the project’s NPV if cash flows occur at the beginnings of the respective years.c. Find the project’s NPV if cash flows occur at the middles of the respective years.arrow_forwardDorothy lacks cash to pay for a $840.00 dishwasher. She could buy it from the store on credit by making 12 monthly payments of $71.52. The total cost would then be $858.24. Instead, Dorothy decides to deposit $70.00 a month in the bank until she has saved enough money to pay cash for the dishwasher. One year later, she has saved $882.00—$840.00 in deposits plus interest. When she goes back to the store, she finds the dishwasher now costs $886.20. Its price has gone up 5.50 percent. Was postponing her purchase a good trade-off for Dorothy?arrow_forwardMatch the following terms to their definitions: valuation, return on investment, discount rate, terminal value 1. The value of an investment at the end of an investment period 2. The return that investors expect to earn for putting their capital at risk 3. The amount of profit made on a given investment 4. An estimate of the economic worth of an asset or business a. Discount rate b. Valuation c. Return on investment d. Terminal valuearrow_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,