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Business Finance

Intro- Supply Chain homework for the first chapters

BUS ADM 370
Introduction to Supply Chain Management
Homework 1 (25 points)
For all the problems, to receive full scores, you have to show your complete and accurate
work. If you only provide the final answers without showing your computations, you will
not be assigned a full score (or you will miss the opportunity of receiving partial credit).
All homework is to be turned in on time through D2L.
Problem 1: Line Balancing (13 points)
First shift employees at Toyota work from 6am to 2pm Monday through Friday. Everyone on the
assembly line is allowed a 30 minute lunch and two 20 minute breaks. Other cross-trained associates
cover lunches and breaks for the associates on the assembly line so the line doesn’t stop. After three
weeks at Toyota, you record the processes of the assembly line are laid out in the following manner:
Task
A
B
C
D
E
F
G
H
Predecessor
none
none
A
B
B
C
D, E
F, G
Average Time (sec)
100
150
93
120
86
84
65
15
The Plant Manager needs first shift to achieve an output of 100 units per shift.
a)
b)
c)
d)
Compute the Takt time for the line (2 points).
What is the theoretical minimum number of workstations? (2 points)
Draw the precedence diagram (2 points).
Assign tasks to work stations and you must use the largest eligible task heuristic rule to break
any ties. Show which tasks are assigned to each workstation (3 points).
e) Compute the efficiency and percent idle time for the system (2 points).
f) What is the maximum output that could be achieved by a single assembly line in 8 hours? (2
points)
Problem 2: Forecasting (6 points)
Units Sold
Jun
255
Jul
305
Aug
298
Sept
268
Oct
321
Nov
359
Dec
319
Given these sales figures over the last 7 months, your boss needs you to create a forecast model that
can be used to forecast sales in the future. Use three different forecasting methods (last period, 2
period moving average and 3 period moving average) to determine which forecasting method would be
best to forecast future sales. For your measure of “best”, recommend the company use the method
with the lowest mean absolute deviation (MAD).
a) Calculate the MAD for each of the 3 forecasts (4 points).
b) After you have selected the best forecasting method, what would you tell your boss is the
forecasted sales for January? (2 points).
Problem 3: Forecast Accuracy (6 points)
Your company released a new product in December last year. Prior to December, the Marketing
Department provided their forecasted sales. The product has been on the market for 5 weeks now and
the table below shows the actual sales and Marketing’s forecast of units sold.
Week
1
2
3
4
5
Actual Sales Forecasted
(units)
Sales (units)
3,221
4,000
4,788
4,500
5,372
5,200
6,051
5,900
6,716
6,200
a) Calculate the MFE for the forecast (3 points).
b) Calculate the MAPE for the forecast (3 points).
BUS ADM 370
Introduction to Supply Chain Management
Homework 1 (25 points)
For all the problems, to receive full scores, you have to show your complete and accurate
work. If you only provide the final answers without showing your computations, you will
not be assigned a full score (or you will miss the opportunity of receiving partial credit).
All homework is to be turned in on time through D2L.
Problem 1: Line Balancing (13 points)
First shift employees at Toyota work from 6am to 2pm Monday through Friday. Everyone on the
assembly line is allowed a 30 minute lunch and two 20 minute breaks. Other cross-trained associates
cover lunches and breaks for the associates on the assembly line so the line doesn’t stop. After three
weeks at Toyota, you record the processes of the assembly line are laid out in the following manner:
Task
A
B
C
D
E
F
G
H
Predecessor
none
none
A
B
B
C
D, E
F, G
Average Time (sec)
100
150
93
120
86
84
65
15
The Plant Manager needs first shift to achieve an output of 100 units per shift.
a)
b)
c)
d)
Compute the Takt time for the line (2 points).
What is the theoretical minimum number of workstations? (2 points)
Draw the precedence diagram (2 points).
Assign tasks to work stations and you must use the largest eligible task heuristic rule to break
any ties. Show which tasks are assigned to each workstation (3 points).
e) Compute the efficiency and percent idle time for the system (2 points).
f) What is the maximum output that could be achieved by a single assembly line in 8 hours? (2
points)
Problem 2: Forecasting (6 points)
Units Sold
Jun
255
Jul
305
Aug
298
Sept
268
Oct
321
Nov
359
Dec
319
Given these sales figures over the last 7 months, your boss needs you to create a forecast model that
can be used to forecast sales in the future. Use three different forecasting methods (last period, 2
period moving average and 3 period moving average) to determine which forecasting method would be
best to forecast future sales. For your measure of “best”, recommend the company use the method
with the lowest mean absolute deviation (MAD).
a) Calculate the MAD for each of the 3 forecasts (4 points).
b) After you have selected the best forecasting method, what would you tell your boss is the
forecasted sales for January? (2 points).
Problem 3: Forecast Accuracy (6 points)
Your company released a new product in December last year. Prior to December, the Marketing
Department provided their forecasted sales. The product has been on the market for 5 weeks now and
the table below shows the actual sales and Marketing’s forecast of units sold.
Week
1
2
3
4
5
Actual Sales Forecasted
(units)
Sales (units)
3,221
4,000
4,788
4,500
5,372
5,200
6,051
5,900
6,716
6,200
a) Calculate the MFE for the forecast (3 points).
b) Calculate the MAPE for the forecast (3 points).
...

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