Management Science
jacsenior
mgmt_science_questions.docx20. To select a value for alpha when using exponential smoothing
|
a. |
use a small alpha when the series varies substantially. |
|
b. |
use a large alpha when the series has little random variability. |
|
c. |
use a value between 0 and 1 |
|
d. |
All of the alternatives are true.
|
A company produces the financial results shown in the table below. The executives at the firm have good reason to believe that $10 million in sales will be generated in 2010. Using simple linear regression, you advise them that this will equate to…
|
Year |
Sales Totals (in millions) |
Profit Totals (in millions) |
|
1998 |
$7.0 |
$0.15 |
|
1999 |
$2.0 |
$0.10 |
|
2000 |
$6.0 |
$0.13 |
|
2001 |
$4.0 |
$0.15 |
|
2002 |
$14.0 |
$0.25 |
|
2003 |
$15.0 |
$0.27 |
|
2004 |
$16.0 |
$0.24 |
|
2005 |
$12.0 |
$0.20 |
|
2006 |
$14.0 |
$0.27 |
|
2007 |
$20.0 |
$0.44 |
|
2008 |
$15.0 |
$0.34 |
|
2009 |
$7.0 |
$0.17 |
|
a. |
$209,600 in profits. |
|
b. |
$2,096,000 in profits. |
|
c. |
$186,900 in profits. |
|
d. |
$1,869,000 in profits. |
22. When the CEO asks you how sure you are of the accuracy of the result provided in Problem #21 above, you show her the r-squared value and respond…
a. “54% sure.”
b. “67% sure.”
c. “84% sure.”
d. “93% sure.”
23. Given the following linear programming problem with two non-negative variables
(X1 and X2 ), find the range of feasibility for the RHS of the second constraint shown below (hint: both constraints are binding)
Constraints:
Variables are non-negative
a. [52,780]
b. [62.4,90]
c. [52,62.4]
d. [62.4,780]
2
1
200
100
X
X
+
104
5
2
2
1
£
+
X
X
90
3
15
2
1
£
+
X
X
