Yakima Construction Corporation (YCC) is considering a number of different development projects. The cash outflows that would be required to complete each project are indicated in the table below, along with the expected net present value of each project (all values in millions of dollars). NPV ($million) Year 1 Year 2 Project 1 Project 2 Project 3 Project 4 20 12 15 Cumulative Cash Outflow Required ($million) 8 14 10 18 12 18 4 14 20 9 Project 5 23

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
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New Exercise Bank Content Qu. 10-14
Yakima Construction Corporation (YCC) is considering a number of different development projects. The cash outflows that would be
required to complete each project are indicated in the table below, along with the expected net present value of each project (all
values in millions of dollars).
Project 1 Project 2 Project 3
Project 4 Project 5
9
23
NPV ($million)
12
15
20
Cumulative Cash Outflow Required ($million)
Year 1
8
10
12
4
14
Year 2
14
18
18
7
20
Year 3
17
25
24
9
25
Year 4
17
30
30
9
32
Click here for the Excel Data File
Each project must be done in full (with the corresponding cash flows for all four years) or not done at all. Furthermore, there are the
following additional considerations. Project 1 cannot be done unless Project 2 is also undertaken, and projects 3 and 4 would compete
with each other, so they should not both be chosen. YCC expects to have the following cash available to invest in these projects: $30
million for year 1, $25 million for year 2, $16 million for year 3, and $12 million for year 4. Any available money not spent in a given year
is then available to spend the following year. YCC's policy is to choose their projects so as to maximize their total expected NPV.
Formulate and solve this model on a spreadsheet.
a. Determine the combination of each project that YCC should undertake to maximize total expected NPV.
Note: Leave no cells blank. Enter "O" wherever required.
Project 1
Project 2
Project 3
Project 4
Project 5
Undertake? (Enter 1 if "Yes", 0 if "No")
Transcribed Image Text:New Exercise Bank Content Qu. 10-14 Yakima Construction Corporation (YCC) is considering a number of different development projects. The cash outflows that would be required to complete each project are indicated in the table below, along with the expected net present value of each project (all values in millions of dollars). Project 1 Project 2 Project 3 Project 4 Project 5 9 23 NPV ($million) 12 15 20 Cumulative Cash Outflow Required ($million) Year 1 8 10 12 4 14 Year 2 14 18 18 7 20 Year 3 17 25 24 9 25 Year 4 17 30 30 9 32 Click here for the Excel Data File Each project must be done in full (with the corresponding cash flows for all four years) or not done at all. Furthermore, there are the following additional considerations. Project 1 cannot be done unless Project 2 is also undertaken, and projects 3 and 4 would compete with each other, so they should not both be chosen. YCC expects to have the following cash available to invest in these projects: $30 million for year 1, $25 million for year 2, $16 million for year 3, and $12 million for year 4. Any available money not spent in a given year is then available to spend the following year. YCC's policy is to choose their projects so as to maximize their total expected NPV. Formulate and solve this model on a spreadsheet. a. Determine the combination of each project that YCC should undertake to maximize total expected NPV. Note: Leave no cells blank. Enter "O" wherever required. Project 1 Project 2 Project 3 Project 4 Project 5 Undertake? (Enter 1 if "Yes", 0 if "No")
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