math

6. (TCO 6, 7) The receipts for ZXY’s proposed Project A are estimated to be $6,000 in the first year; $4,500 in the second, and $1,500 in the third. Another project on the ZXY docket, Project B, would bring in $4,000 a year over 3 years. Using an interest rate of 6% for both Projects A and B, calculate the net present value (NPV) of these expected receipts for Project A (15 points), and given that forgoing Project A would result in the equivalent of an inflow of $4,000 per year, what should the firm do: go with Project A or avoid the cost and/or look for a more profitable project (15 points)? (Points : 30)            
 
5.
(TCOs 13 and 14) Consider the following decision table, which was developed for a project selection committee at High Speed Enterprises.

Decision

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Probability

0.1

0.5

0.4

Alternatives

 

 

Low

Medium

High

 

 

 

 

 

 

A

 

 

$                           45

$               100

$                 65

B

 

 

$                           90

$                  65

$                 75

C

 

 

$                           65

$                  75

$                 65

D

 

 

$                           85

$                  65

$                 78

E

 

 

$                           90

$               100

$                 83


 
Which decision alternative maximizes the expected value of the payoff?
(Points : 30
 
 
4.
(TCO 2) The Tons of Fun Hobby Company general manager knows she can use sales and payroll data to do an estimated regression equation and forecast sales for next year. Her finance director gives her the following data table.

Year

Sales (millions)
y

Payroll (millions)

x

x2

xy

1

3

1

1

3

2

4

1.5

4

6

3

4

2

9

8

4

4.5

2.4

16

10.8

5

5

3

25

15

 

20.5

9.9

55

42.8

 

Ey

Ex

Ex2

Exy


Define the regression equation she is able to deduce from the table, and calculate her year six sales forecast if Year 6 payroll is $3.1 million (please show your work).
(Points : 30)

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