a. Use the profitability index to select projects subject to the constraint that the firm can only invest $500,000. In other words, use the Pl ranking to accept the best project, the next-best project, and so forth until the money is completely used. If a project's cost brings the total cost over the $500,000 limit while money remains, then skip the project and attempt to add a cheaper one. Compute the total of the NPVS of the projects selected earlier. b. c. Use your common sense to figure out a better solution-one that produces a higher total NPV but still uses only $500,000. Compute the sum of the NPVs of this better solution. d. Why do the answers to Problem 20 (a) and (c) differ and why is the profitability index method flawed?

Entrepreneurial Finance
6th Edition
ISBN:9781337635653
Author:Leach
Publisher:Leach
Chapter7: Types And Costs Of Financial Capital
Section: Chapter Questions
Problem 13EP
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20. Plastex Corporation is considering expanding but wishes to control growth by
imposing a limit on capital expenditures of $500,000. The capital investment
opportunities are:
Investment Opportunities of Plastex Corporation (all
dollar values are in thousands)
PI Rank
Project Cost NPV
$200 $50
$200 $40
$400 $99
$100 $17
$100 $19
1
2
3
4
5
6
7
$50 $12
$50 $11
b.
c.
Profitability
Index
1.25
1.20
1.2475
1.17
1.19
1.24
1.22
1
5
2
7
6
3
4
First-Year
Cash Flow
$0
$5
$10
$2
$3
$20
$15
a. Use the profitability index to select projects subject to the constraint that the firm
can only invest $500,000. In other words, use the PI ranking to accept the best
project, the next-best project, and so forth until the money is completely used. If
a project's cost brings the total cost over the $500,000 limit while money
remains, then skip the project and attempt to add a cheaper one.
Compute the total of the NPVS of the projects selected earlier.
Use your common sense to figure out a better solution-one that produces a
higher total NPV but still uses only $500,000. Compute the sum of the NPVS of
this better solution.
d. Why do the answers to Problem 20 (a) and (c) differ and why is the profitability
index method flawed?
Transcribed Image Text:20. Plastex Corporation is considering expanding but wishes to control growth by imposing a limit on capital expenditures of $500,000. The capital investment opportunities are: Investment Opportunities of Plastex Corporation (all dollar values are in thousands) PI Rank Project Cost NPV $200 $50 $200 $40 $400 $99 $100 $17 $100 $19 1 2 3 4 5 6 7 $50 $12 $50 $11 b. c. Profitability Index 1.25 1.20 1.2475 1.17 1.19 1.24 1.22 1 5 2 7 6 3 4 First-Year Cash Flow $0 $5 $10 $2 $3 $20 $15 a. Use the profitability index to select projects subject to the constraint that the firm can only invest $500,000. In other words, use the PI ranking to accept the best project, the next-best project, and so forth until the money is completely used. If a project's cost brings the total cost over the $500,000 limit while money remains, then skip the project and attempt to add a cheaper one. Compute the total of the NPVS of the projects selected earlier. Use your common sense to figure out a better solution-one that produces a higher total NPV but still uses only $500,000. Compute the sum of the NPVS of this better solution. d. Why do the answers to Problem 20 (a) and (c) differ and why is the profitability index method flawed?
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