17) Assuming that the discount rate for project A is 16% and the discount rate for B is 15%, then
given that these are mutually exclusive projects, which project would you take and why?
7.5 Project Selection with Resource Restraints
1) Which of the following statements is FALSE?
A) If there is a fixed supply of resource available, you should rank projects by the profitability
index, selecting the project with the lowest profitability index first and working your way down
the list until the resource is consumed.
B) Practitioners often use the profitability index to identify the optimal combination of projects
when there is a fixed supply of resources.
C) If there is a fixed supply of resources available, so that you cannot undertake all possible
opportunities, then simply picking the highest NPV opportunity might not lead to the best
decision.
D) The profitability index is calculated as the NPV divided by the resources consumed by the
project.
2) Which of the following statements is FALSE?
A) The profitability index measures the value created in terms of NPV per unit of resource
consumed.
B) The profitability index is the ratio of value created to resources consumed.
C) The profitability index can can be easily adapted for determining the correct investment
decisions when multiple resource constraints exist.
D) The profitability index measures the “bang for your buck.”
3) You are opening up a brand new retail strip mall. You presently have more potential retail
outlets wanting to locate in your mall than you have space available. What is the most
appropriate tool to use if you are trying to determine the optimal allocation of your retail space?
A) IRR
B) Payback period
C) NPV
D) Profitability index
Use the table for the question(s) below.
Consider a project with the following cash flows:
Year Cash Flow
0 -10,000
1 4,000
2 4,000
3 4,000
4 4,000
4) Assume the appropriate discount rate for this project is 15%. The profitability index for this
project is closest to:
A) .14
B) .22
C) .60
D) .15
Use the table for the question(s) below.
Consider the following two projects:
Project Year 0
Cash Flow Year 1
Cash Flow Year 2
Cash Flow Year 3
Cash Flow Year 4
Cash Flow Discount Rate
A -100 40 50 60 N/A .15
B -73 30 30 30 30 .15
5) The profitability index for project A is closest to:
A) 0.12
B) 21.65
C) 0.17
D) 12.04
6) The profitability index for project B is closest to:
A) 23.34
B) 12.64
C) 0.17
D) 0.12
Use the table for the question(s) below.
Consider the following list of projects:
Project Investment NPV
A 135,000 6,000
B 200,000 30,000
C 125,000 20,000
D 150,000 2,000
E 175,000 10,000
F 75,000 10,000
G 80,000 9,000
H 200,000 20,000
I 50,000 4,000
7) Assuming that your capital is constrained, which investment tool should you use to determine
the correct investment decisions?
A) Profitability Index
B) Incremental IRR
C) NPV
D) IRR
8) Assuming that your capital is constrained, which project should you invest in first?
A) Project C
B) Project G
C) Project B
D) Project F
9) Assuming that your capital is constrained, what is the fifth project that you should invest in?
A) Project H
B) Project I
C) Project B
D) Project A
10) Assuming that your capital is constrained, which project should you invest in last?
A) Project A
B) Project I
C) Project D
D) Project C
11) Assuming that your capital is constrained, so that you only have $600,000 available to invest
in projects, which projects should you invest in and in what order?
A) CBFH
B) CBGF
C) BCFG
D) CBFG
12) Assume that your capital is constrained, so that you only have $600,000 available to invest in
projects. If you invest in the optimal combination of projects given your capital constraint, then
the total NPV for all the projects you invest in will be closest to:
A) $65,000
B) $80,000
C) $69,000
D) $111,000
13) Assume that your capital is constrained, so that you only have $500,000 available to invest in
projects. If you invest in the optimal combination of projects given your capital constraint, then
the total NPV for all the projects you invest in will be closest to:
A) $111,000
B) $69,000
C) $80,000
D) $58.000
Use the information for the question(s) below.
The Sisyphean Company is planning on investing in a new project. This will involve the
purchase of some new machinery costing $450,000. The Sisyphean Company expects cash
inflows from this project as detailed below:
Year One Year Two Year Three Year Four
$200,000 $225,000 $275,000 $200,000
The appropriate discount rate for this project is 16%.
14) The profitability index for this project is closest to:
A) .44
B) .26
C) 0.39
D) .34
47
Use the information for the question(s) below.
Your firm is preparing to open a new retail strip mall and you have multiple businesses that
would like lease space in it. Each business will pay a fixed amount of rent each month plus a
percentage of the gross sales generated each month. The cash flows from each of the businesses
has approximately the same amount of risk. The business names, square footage requirements,
and monthly expected cash flows for each of the businesses that would like to lease space in your
strip mall are provided below:
Business Name Square Feet Required Expected Monthly Cash Flow
Videos Now 4,000 70,000
Gords Gym 3,500 52,500
Pizza Warehouse 2,500 52,500
Super Clips 1,500 25,500
30 1/2 Flavors 1,500 28,500
S-Mart 12,000 180,000
WalVerde Drugs 6,000 147,000
Multigular Wireless 1,000 22,250
15) If your new strip mall will have 15,000 square feet of retail space available to be leased, to
which businesses should you lease and why?
16) If your new strip mall will have 16,000 square feet of retail space available to be leased, to
which businesses should you lease and why?
17) Consider the following list of projects:
Project Investment NPV
A 405,000 18,000
B 600,000 90,000
C 375,000 60,000
D 450,000 6,000
E 525,000 30,000
F 225,000 30,000
G 240,000 27,000
H 600,000 60,000
I 150,000 12,000
J 270,000 30,000
You are given a budget of only $1,800,000 to invest in projects. Which projects will you select,
in what order will you select them, and why?