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Institute of Rural Management Anand

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Institute of Rural Management Anand

PGDM-RM41 – Term II– Mid Term Examination


< Operations Management>
<06th December 2020>
<Amit kr Godara, P41003>
Section 2
4. A Moving average = Sigma (demand in previous n periods)/ n

3 quarter Moving average


Error
year Quarter Demand for fertilizer forecast
1 1 105
2 150
3 93
4 121 116.00 5.00
2 5 140 121.33 18.67
6 170 118.00 52.00
7 105 143.67 -38.67
8 150 138.33 11.67
3 9 150 141.67 8.33
10 170 135.00 35.00
11 110 156.67 -46.67
12 130 143.33 -13.33
4 13 136.67
Error 25.48

5 quarter Moving average


Error
year Quarter Demand for fertilizer forcast
1 1 105
2 150
3 93
4 121
2 5 140
6 170 121.8 -48.20
7 105 134.8 29.80
8 150 125.8 -24.20
3 9 150 137.2 -12.80
10 170 143 -27.00
11 110 149 39.00
12 130 137 7.00
4 13 142
26.86

Institute of Rural Management Anand


PGDM-RM41 – Term II– Mid Term Examination
< Operations Management>
<06th December 2020>
<Amit kr Godara, P41003>

C Weighted moving average


= sigma ( weight of period n )( Demand for period n))/Sigma Weights

year Quarter Demand for fertilizer Weighted 3 Quarter average Error


1 1 105
2 150
3 93
4 121 113.85 7.15
2 5 140 116.69 23.31
6 170 125.74 44.26
7 105 151.77 -46.77
8 150 132.4 17.6
3 9 150 138.55 11.45
10 170 142.35 27.65
11 110 160 -50
12 130 136.6 -6.6
4 13 130.2
26.08778

D. Cumulative errors are:


3-quarter moving average, E = 32.0
5-quarter moving average, E = 36.4
Weighted 3-quarter moving average, E = 28.05
The weighted 3-quarter forecast appears to be the most accurate.
Institute of Rural Management Anand
PGDM-RM41 – Term II– Mid Term Examination
< Operations Management>
<06th December 2020>
<Amit kr Godara, P41003>

Section 2
1
Productivity measures the of process improvement and represents output relative to input
Productivity = (Units produced) / Input used
Labour Productivity = Units produced / Labor-hours used
= 1,00,000/ 10,000
= 10 units per labour hour
Machine Productivity = Units produced / machine-hours used
= 1,00,000/ 5000
= 20 units per machine hour
Multifactor Productivity is also known as total factor productivity
Multifactor Productivity = Output/ Total dollar spent on Labor + Material + Energy + Capital +
Miscellaneous
= 1,00,000/ 10000*15 + 5000*10 + 3500 + 15000
= 100000/250000
= 0.4 units per dollar

2. Answer 2
i. We will select vendor on the basis of system reliability; we will select the system vendor
which has higher reliability.
vendor 1
reliability = 0.94 * (0.90 + (1-0.90)*0.86) *0.93
= 0.86
86%
vendor 2
reliability = 0.85 * (0.93 + (1-0.93)*0.88) * 0.95
= 0.42
42%
Institute of Rural Management Anand
PGDM-RM41 – Term II– Mid Term Examination
< Operations Management>
<06th December 2020>
<Amit kr Godara, P41003>

For Vendor 3
reliability = 0.92 * ( 0.95 +(1-0.95)*0.90) *0.90
=0.82
82%
Therefore vendor 1 would be select as it has highest reliability

ii) For vendor 1


reliability = 0.94*0.86*0.90*0.93
=0.67
So, 67%
For vendor 2
S reliability = 0.85*0.88*0.93*0.95
=0.66
66%
For vendor 3
System reliability = 0.92*0.90*0.95*0.90
=0.70
70%
Therefore vendor 3 would be selected as it has highest reliability.

Section 1
2. Trend in demand forecasting is the general upward or downward movement in the data over
period of time. It can be positive and negative. Changes in income, cultural views, income may
result in movement for changes.

Seasonality is the data pattern which repeats itself after a particular time period.
Like in restaurant demand is high during weekend. Consumption of person is high during initial
days of month.
Institute of Rural Management Anand
PGDM-RM41 – Term II– Mid Term Examination
<Operations Management>
<06th December 2020>
<Amit kr Godara, P41003>

Smoothing constant is obtained when the error in forecasting is the minimum. Generally
Smoothing constant value taken ranges from 0.05 to 0.5. We take different values of Smoothing
constant like 0.1, 0.2, 0.3, 0.4. We find the forecast demand on the basis of these alpha values
and then we calculate the error. The alpha values which gives minimum error will be chosen for
forecasting demand.

Section 1
5
Product focus Process focus
cost (fixed cost) Fixed costs are high Fixed costs are low
nature of labour skills less Broadly skilled labour Broadly skilled labour
type of products
produced hospitital, blacksmith work, restaurant autos, motorcycles
volume of product large quantity and large variety of Small and large variety of
produced products products
cost per unit of output low high

Section 3

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