What is the total net present value of these projects?Total net present value Your employer is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listedbelow. The capital budget available is $1 million. In addition to spending constraints, your employer would like to select at least 2projects. Projects 5 and 4 cannot both be selected together. Formulate the problem as a linear program and determine the optimalsolution.ProjectCostNet Present Value$295,000$285,000$300,000$250,000$240,000$680,000$610,000$470,000$630,000$650,000134Which projects should be selected?Project 1 willProject 2 willProject 3 willProject 4 willProject 5 willbe selectednot be selected

Let xi be the binary number whether the project i is selected if 1, 0 if not The NPV must be…

Answered: Your employer is trying to select from…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 34P

See similar textbooks

Similar questions

Formulate an LP model for the following problems.1. Bernadette intends to invest up to ₱50,000 in either Best Fund, or a time deposit orboth. The Best Fund pays 8% per year and the time deposit pays 9%. Because theBest Fund is riskier than the time deposit, so she intends to put at most ₱30,000 intothe time deposit and at least ₱10,000 into the Best Fund. How much should she allotto each investment in order to maximize her returns?
A company is considering a new product launch. There is a 0.6 chance that demand for the product will be strong and a 0.4 chance that demand will be weak. Two strategies for the launch are possible: 1 has high promotion costs and a net cash outflow of K120 000 if demand proves to be strong, and if demand proves weak a net cash outflow of (K30 000) will result. Strategy 2 has low promotion costs and if demand is strong will generate a cash inflow of only K80 000 but with weak demand a net cash inflow of K20 000. Draw a decision tree and advise which course of action generates the greatest expected profit. What is the maximum amount that should be paid for market research to determine with certainty whether demand will be strong or weak?
A business student has $3,500 available from a summer job and has identified three potential stocks in which to invest. The cost per share and expected return over the next two years are given in the table. Complete parts a and b. A $12 $8 Stock Price/share Return/share B $16 $5 A. Amount invested in stock A B. Amount invested in stock B C. Return for each stock D. Amount invested in stock C E. Price of each stock C $25 $11 a. Identify the decision variables, objective function, and constraints in simple verbal expressions. Identify the decision variables. Select all that apply.
3. The comptroller of Microsoft Corporation has $100 million of excess funds to invest. She has been introduced to invest the entire amount for one year in either stocks or bonds (but not both) and then to reinvest the entire fund in either stocks or bonds (but not both) for one year more. The objective is to maximize the expected monetary value of the fund at the end of the second year. The annual rates of return on these investments depend on the economic environment, as shown in the following table: Rate of Return Economic Environment Stocks Bonds Growth 20% 5% Recession -10% 10% Depression -50% 20% The probabilities of growth, recession, and depression for the first year are 0.7, 0.3, and 0, respectively. If growth occurs in the first year, these probabilities remain the same for the second year. However, if a recession occurs in the first year, these probabilities change to 0.2, 0.7, and 0.1, respectively, for the second year. Construct the decision tree for this problem and…
An investor has a certain amount of money available to invest now. Three alternative investments are available. The estimated profits, in Kwacha, of each investment under each economic condition are indicated in the following payoff table: Event Investment selection A B C Economy declines 500 -2000 -7000 No charge 1000 2000 -1000 Economy Expand 2000 5000 20,000 Based on his own past experience, the investor assigns the following probabilities to each economic condition: P (Economy declines) = 0.30 P (No Change) = 0.50 P (Economy expands) = 0.20 i. Compute the coefficient of variation for each investment. ii. Compute the return-to-risk ratio (RTRR) for each investment. iii. Based on (i) and (ii), what investment would you choose? Why?
Consider an investment project with the following cash flows: N Cash Flow 0 -$5,0001 $02 $4,8403 $1,331ComputcthelRRforthisinvestment.lsthisprojectacceptablcatMARR = 10%?
Conoly Co. has identified an investment projectwith the following cash flows. If the discount rate is 10 percent, what is the present valueof these cash flows? What is the present value at 18 percent? At 24 percent?Year Cash Flow1 $ 9602 8403 9354 1,350
After a successful newspaper business, Jimmy plans to expand by opening an icrecream shop, only if there is a good chance of making a profit. He can open a small shop, a large shop, or no shop at all. Bulding leases are five years long so he wants to make a good decision. Jimmy has done some market research and has found with a large shop he will earn $60 000 in a good market but will lose $40 000 if the market is bad. A small shop will earn him thirty thousand dollars in a good market but will lose ten thousand dollars in a bad market. Present indications are that there is a fifty-nice percent chance of a good market. Jimmy also has the option of hiring his friend for five thousand dollars to conduct a marketing research study. If the study is conducted. With the survey, there is a sixty percent probability that it will be favourable. Also, there is a ninety percent chance of a good market if the survey is favourable. However, there is also twelve percent probability of a good market…
Managing a Portfolio. A local bank wants to build a bond portfolio from a set of five bonds with $1 million available for investment. The expected annual return, the worst-case annual return on each bond, and the “duration” of each bond are given in the following table. (The duration of a bond is a measure of the bond’s sensitivity to changes in interest rates.)Expected Return Worst Case Return DurationBond 1 12.5% 8.0% 8Bond 2 11.5% 7.5% 7Bond 3 10.5% 6.8% 6Bond 4 9.5% 7.0% 5Bond 5 8.5% 7.4% 3The bank wants to maximize the expected return from its bond investments, subject to three conditions: The average worst-case return for the portfolio must be at least 7.2 percent.The average duration of the portfolio must be at most 6.Because of diversification requirements, at most 40 percent of the total amount invested can be invested in a single bond.What is the maximum return on the $1 million investment? How should the investment be…
Mono Industries has a project with the following projected cash flows: Initial Cost, Year 0: P200,000 Cash flow year one: P25,000 Cash flow year two: P75,000 Cash flow year three: P150,000 Cash flow year four: P150,000 Using a 10% discount rate for this project and the NPV model, should this project be accepted or rejected?
A food company is considering three different salad dressings to introduce nationally, Dressing A, B, and C. They also have the option to not introduce any dressing this year. The profits from dressings A, B, and C are $1,144,712, $1,515,938, and $2,525,542 respectively if the national market is favorable. However, if the national market is unfavorable, the losses are $555,615, $758,875, and $912,435 respectively. Historical data shows a probability of 0.568 for a favorable national market. The company can test the market for salad dressings in selected geographic areas before introducing them nationally. The cost of the test market is $53,331. In the past, the probability of a negative test market was 0.354. Given a positive test market, a favorable national market was actually observed with a probability of 0.745. Given a negative test market, a favorable national market was actually observed with a probability of 0.304. Determine if the company should test the market before…
Sachs Brands's defined benefit pension plan specifies annual retirement benefits equal to 1.5% × service years × final year's salary, payable at the end of each year. Angela Davenport was hired by Sachs at the beginning of 2007 and is expected to retire at the end of 2041 after 35 years' service. Her retirement is expected to span 18 years. Davenport's salary is $83,000 at the end of 2021 and the company's actuary projects her salary to be $245,000 at retirement. The actuary's discount rate is 9%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) At the beginning of 2022, the pension formula was amended to: 1.60% × Service years × Final year's salary The amendment was made retroactive to apply the increased benefits to prior service years. Required: 1. What is the company's prior service cost at the beginning of 2022 with respect to Davenport after the amendment described above?2. Since the amendment occurred at…

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS