Operations Management
Final Review Session 1
代写运营管理作业 When a box has been filled with 10 bottles,a worker tending the packaging machine removes the filled box and replaces it with an empty box.
Question 1. Yoggo Soft Drink 代写运营管理作业
A small, privately owned Asian company is producing a private-label soft drink, Yoggo. A manufacturing line puts the soft drinks into plastic bottles and then packages the bottles into boxes holding 10 bottles each. The manufacturing line is comprised of the following four steps: (1) the bottling machine takes 1 second to fill a bottle, (2) the lid machine takes 3 seconds to cover the bottle with a lid, (3) a labeling machine takes 5 seconds to apply a label to a bottle, and (4) the packaging machine takes 4 seconds to place a bottle into a box.
When a box has been filled with 10 bottles,a worker tending the packaging machine removes the filled box and replaces it with an empty box. Assume that the time for the worker to remove a filled box and replaces it with an empty box is negligible and hence does not affect the capacity of the line. At step 3, there are two labeling machines that each process alternating bottles, that is, the first machine processes bottles 1,3,5,. . . and the second machine processes bottles 2,4,6,. . . Problem data are summarized in the table below.
Process Step | Number of Machines | Seconds per Bottle |
Bottling | 1 | 1 |
Applying a lid | 1 | 3 |
Labeling | 2 | 5 |
Packaging | 1 | 4 |
- What is the process capacity (bottles/hour) for the manufacturingline? 代写运营管理作业
2.What is the bottleneck in theprocess?
- Ifone more identical labeling machine is added to the process, how much is the increase in the process capacity going to be (in terms of bottles/hour)?
- What is the utilization of the packaging machine if the demand rate is 60 boxes/hour? Recall that a box consists of 10 bottles.
Question 2. Fuel Economy
In response to a recent fuel economy bill passed by the U.S. Senate raising the average fleet-wide gas mileage to 35 miles per gallon by the year 2020, Victor Puente, the chief operating officer of an up-and-coming auto-maker was put in charge to evaluate the quality output of a flexible engine assembly line. The production process was subject to several modifications after a number of changes were made to existing engine designs in order to increase fuel efficiency. Victor currently has a team of 6-s specialists (called black belts) in the organization to help him carry out this task. You are the master black belt reporting directly to Victor. After carefully designing the rational sub-groups in a test, you have received the gas mileage ratings of 15 engine groups, each of size 5, for analysis. The numbers are summarized in the table below: 代写运营管理作业
Group | X1 | X2 | X3 | X4 | X5 | X | S |
1 | 34.8 | 35.268 | 35.305 | 34.569 | 35.418 | 35.072 | 0.367 |
2 | 34.502 | 35.204 | 35.283 | 35.186 | 35.035 | 35.042 | 0.315 |
3 | 34.91 | 35.067 | 35.318 | 35.062 | 35.026 | 35.0766 | 0.149 |
4 | 35.068 | 35.089 | 34.849 | 35.102 | 35.055 | 35.0326 | 0.104 |
5 | 34.709 | 34.648 | 34.596 | 34.856 | 34.668 | 34.6954 | 0.099 |
6 |
34.651 | 34.563 | 35.011 | 35.204 | 35.058 | 34.8974 | 0.276 |
7 | 34.86 | 35.244 | 34.948 | 34.783 | 35.214 | 35.0098 | 0.209 |
8 | 34.825 | 35.458 | 34.982 | 34.956 | 35.079 | 35.06 | 0.24 |
9 | 34.961 | 34.809 | 35.143 | 34.558 | 34.573 | 34.8088 | 0.252 |
10 | 34.647 | 35.167 | 35.007 | 34.847 | 34.878 | 34.9092 | 0.193 |
11 | 35.289 | 34.602 | 34.583 | 34.972 | 34.671 | 34.8234 | 0.304 |
12 | 34.797 | 34.917 | 35.145 | 35.202 | 34.848 | 34.9818 | 0.181 |
13 | 35.312 | 35.155 | 35.035 | 34.879 | 35.077 | 35.0916 | 0.159 |
14 | 35.363 | 35.333 | 34.791 | 35.256 | 35.488 | 35.2462 | 0.268 |
15 | 35.072 | 34.53 | 35.382 | 34.953 | 34.77 | 34.9414 | 0.32 |
Average | 34.979 | 0.229 |
1.Construct an X-chart to deduce whether the process is in control.
2.Theengineering team has issued the specification limits of the high efficiency engines to be between 34.5 mpg and 35.5 mpg. Using the already obtained sample from the assembly line, can you report to Victor whether the process is capable? What is its capability index Cp?
Question 3. Valley Forge Income Tax Advice 代写运营管理作业
VF is a small accounting firm supporting wealthy individuals in their preparation of annual income tax statements. Every December, VF sends out a short survey to their customers, asking for the information required for preparing the tax statements. Based on 24 years of experience, VF categorize their cases into the following groups:
- Group 1(New customers, easy): 15 percent ofcases
- Group2(New customers, complex): 5 percent of cases
- Group 3(Repeat customers, easy): 50 percent ofcases
- Group 4(Repeat customers, complex): 30 percent ofcases
Here, easy versus complex refers to the complexity of the customer’s earning situation. 代写运营管理作业
In order to prepare the income tax statement, VF needs to complete the following set of activities. Activity times ( and even which activities need to be carried out) depend on which group a tax statement falls into. All of the following activity times are expressed in minutes per income tax statement.
Group | Filing | Initial Meeting | Preparation | Review by Senior Accountant | Writing |
1 | 20 | 30 | 120 | 20 | 50 |
2 | 40 | 90 | 300 | 60 | 80 |
3 | 20 | No Meeting | 80 | 5 | 30 |
4 | 40 | No Meeting | 200 | 30 | 60 |
The activities are carried out by the following three persons:
- Administrative support person: filing andwriting
- Senior accountant(who is also the owner): initial meeting, review by the senioraccountant
- Junior accountant:
Assume that all three persons work eight hours per day and 20 days a month. For the following questions, assume the product mix as described above. Assume that there are 50 income tax statements arriving each month.
Activity | Formula | Average Processing Time |
Filing | 20×0.15+40×0.05+20×0.5+40×0.3 | 27 |
Initial Meeting | 30×0.15+90×0.05+0×0.5+0×0.3 | 9 代写运营管理作业 |
Preparation | 120×0.15+300×0.05+80×0.5+200×0.3 | 133 |
Review | 20×0.15+60×0.05+5×0.5+30×0.3 | 17.5 |
Writing | 50×0.15+80×0.05+30×0.5+60×0.3 | 44.5 |
Now, we calculate the average processing time for each employee by adding up the average time they spend on each activity. Using the average processing times, we calculate the processing capacity of each employee. 代写运营管理作业
Worker | Avg. Proc. Time
(min) |
Capacity
(min/month) |
Proc. Cap.
(jobs/month) |
Admin Staff | 27+44.5=71.5 | 8 × 20 × 60 = 9600 | 9600/71.5=134.3 |
Junior Accountant | 133 | 8 × 20 × 60 = 9600 | 9600/133=72.2 |
Senior Accountant | 9+17.5=26.5 | 8 × 20 × 60 = 9600 | 9600/26.5=362.3 |
Next, we calculate the utilization of each employee.
Since the capacity of each employee is represented as the total time they have available each month, we express demand as the monthly average time demanded from each employee.
Worker | Proc. Time
(min/job) |
Capacity
(min/month) |
Demand
(min/month) |
Utilization |
Admin Staff | 71.5 | 9600 | 71.5×50=3575 | 3575/9600=0.372 |
Junior Accountant | 133 | 9600 | 133×50=6650 | 6650/9600=0.693 |
Senior Accountant | 26.5 | 9600 | 26.5×50=1325 | 1325/9600=0.138 |
Now we are ready to answer the sub-questions.
1.Which of the three persons is thebottleneck? 代写运营管理作业
- What is the utilization of the senior accountant? The junior account? The administrative support person?
- Youhave been asked to analyze which of the four product groups is the most Which factors would influence the answer to this?
- Howwould the process capacity of VF change if a new word processing system would reduce the time to write the income tax statements by 50 percent?
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