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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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C) system that create goods or services
 
 
B) companies’ financial resources
D) Companies’ ability to compete
 
 
 
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Section A/Multiple Choice-Example
3) Which of the following part indicates the three Basic Functions?
A) Finance, marketing and management
B) Finance, human resources and management
C) Marketing, operations and finance
D) Operations, finance and scientific management
4) The steps of the conversion of inputs into outputs are:
A) Input, process, transformation
B) Labor, control, goods
C) capital, land, service
A) The transformation process of inputs into outputs
B) Feedback control
Only goods process
 
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Section B/type 1-Example- Productivity
Assume 40 hour weeks and an hourly wage of $12. Overhead is 1.5 times weekly labor cost. Material cost is $ 6 per pound.
Compute the average multi-factor productivity measure for each of the weeks shown.
Calculate the productivity growth rates throughout the weeks.
What do the productivity figures suggest? Draw the productivity figures and briefly explain.
Week
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Week 1- 12*40*6 =2880* 1.5=4320= overhead cost
Week 1- 450*6 = 2700=material cost
Week 1- 2880+4320+2700=9900 total cost
 
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Section B/Type2-Example-Forecast
 
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Example-Forecast
 
Use a simple three-month moving average and single exponential smoothing technique to find all periods.
 
 
 
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Period
Sales
MA03
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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TT1= 86 (it is the average of series if it is not given)
TT2= 86+0.5(86-86)=86
TT3=86+0.5(93-86)=89.5
TT4=89.5+0.5(88-89.5)=88.75
TT13=94.29+0.5(95-94.29)=94.64
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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d-graphs
Talep
3HO
#REF!
ÜD05
MES= ∑Actual-Forecast2/ (n-1)
MAPE= (∑ (Actual-Forecast/actual)*100)/n
The least error occurred, the best model we have..
Without explanation, it should not be given full mark
graph
Year
Index
1996
132
1997
127
1998
120
1999
75
2000
87
2001
125
2002
92
2003
134
2004
128
2005
140
graph
Index
Index
technique
Year
Index
3MA
5MA
ES03
ES05
1996
132
116
116
1997
127
120.8
124
1998
120
122.66
125.5
1999
75
126.3333333333
121.862
122.75
2000
87
107.3333333333
107.8034
98.875
2001
125
94
108.2
101.56238
92.9375
2002
92
95.6666666667
106.8
108.593666
108.96875
2003
134
101.3333333333
99.8
103.6155662
100.484375
2004
128
117
102.6
112.73089634
117.2421875
2005
140
118
113.2
117.311627438
122.62109375
134
123.8
124.1181392066
131.310546875
technique
Index
3MA
5MA
ES03
ES05
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Section C/type 1-Example-Trend Analysis
Use the information in the following table and construct the forecast equation.
Use time series regression to forecast the petrol consumption (mn gallons) for the next four year.
Compute the correlation coefficient, determination of coefficient and standard deviation. Briefly explain
 
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Y9=1.678+0.238(9) = 3.83 in 2012
Y10=1.678+0.238(10) = 4.06 in 2013
Y11=1.678+0.238(11) = 4.30 in 2014
Y12=1.678+0.238(12) = 4.53 in 2015
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© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Example-Trend Analysis
r=0.42
 
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Use the relevant information in the following Table:
 
Calculate individual cost
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Given a transportation problem wth the following costs, supply, and demand, find the optimal solution:
Section C/type 2-Vogel and NWC
To (Cost)
Demand 135 175 170
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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To (Cost)
A $ 6 7 4 100 (2)
B $ 5 3/175 6 180 (2)
C $ 8 5 7 200 (2)
Demand 135 175 170 480\480
(1) (2) (2)
Demand 135 170
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Total= 2,480
C 130/ 8 7/70 200 (1)
Demand 130 70
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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Total= 2,550
A $ 6*100 7 4 100
B $ 5 *35 3*145 6 180
C $ 8 5 *30 7*170 200
Demand 135 175 170
© 2014-15- Prof. Dr. Sami Fethi, EMU, Revision
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