Reference no: EM13968583
Problem 1: Line Balancing
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 Predecessor Average Time (sec)
A none 100
B none 150
C A 93
D B 120
E B 86
F C 84
G D, E 65
H F, G 15
The Plant Manager needs first shift to achieve an output of 100 units per shift.
a) Compute the Takt time for the line (2 points).
b) What is the theoretical minimum number of workstations? (2 points)
c) Draw the precedence diagram (2 points).
d) 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
Jun Jul Aug Sept Oct Nov Dec
Units Sold 255 305 298 268 321 359 319
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 forecastfuture sales. For your measure of "best", recommend the company use the method with the lowest mean absolute deviation (MAD).
a) Calculatethe MAD for each of the 3 forecasts
b) After you have selected the best forecasting method, what would you tell your boss is the forecasted sales for January?
Problem 3: Forecast Accuracy
Your company released a new product in Decemberlast 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
|
Actual Sales (units)
|
Forecasted Sales (units)
|
|
1
|
3,221
|
4,000
|
|
2
|
4,788
|
4,500
|
|
3
|
5,372
|
5,200
|
|
4
|
6,051
|
5,900
|
|
5
|
6,716
|
6,200
|
a) Calculate the MFE for theforecast
b) Calculate the MAPE for theforecast
|
Problem regarding the population with standard deviation
: When sampling is from a population with standard deviation C = 55, using a sample of size n = 150, what is the probability that X will be at least 8 units away from the population mean µ,?
|
|
Synopsis on disaster recovery strategies
: Write a 1 - 2 page synopsis on disaster recovery strategies in a mid size organization. Along with reference and apa format
|
|
Development of the best economic mixture
: In making a land-use policy decision, a planner had to consider three objectives: the development of the best economic mixture of industrial and residential uses, the preserva tion of sensitive environmental areas, and satisfying the largest indus..
|
|
How many years it take an investment to triple
: How many years it take an investment to triple if the interest rate is 7% compounded annually? State the amount accumulated by each of the following present investmens: $4,000 in 10 years at 8% compounded annually.
|
|
Calculate the mape for theforecast
: After you have selected the best forecasting method, what would you tell your boss is the forecasted sales for January?
|
|
How should the discussions be structured
: Can you give any advice to a committee working on a problem that might help it to arrive at a decision? How should the discussions be structured? Can sensitivity analysis help in such a situation; if so, how?
|
|
Two attribute multilinear utility function
: Show that when n = 2, the multiplicative utility function is equivalent to the two- attribute multilinear utility function. (Hint: This is an algebra problem. You must show that one utility function is a scaled version of the other.
|
|
Additive independence among attributes
: For some of the attributes in your computer decision, you face uncertainty. The additive utility function assessed in Problem 15.17 essentially assumes that additive independence among attributes is reasonable.
|
|
Two-attribute utility function
: What other attributes are important in a job decision? Would the two-attribute utility function you just assessed be useful as a first approximation if many of the other at- tributes were close in comparing two jobs?
|