15 May QuestionProblem Questions1. Thermostats are subjected to rigorous testing be
Question
Problem Questions
1. Thermostats are subjected to rigorous testing before they are shipped to air conditioning technicians around the world. Results from the last five samples are shown in the table. Draw and R Chart and an x-bar chart. Based on the charts, is the process under control? (20 Points)
Observations |
|||||
| Sample |
1 |
2 |
3 |
4 |
5 |
| 1 | 73.5 | 70.8 | 72.2 | 73.6 | 71.0 |
| 2 | 71.3 | 71.0 | 73.1 | 72.7 | 72.2 |
| 3 | 70.0 | 72.6 | 71.9 | 72.4 | 73.3 |
| 4 | 71.1 | 70.6 | 70.3 | 74.2 | 73.6 |
| 5 | 70.8 | 70.7 | 70.7 | 73.5 | 71.1 |
Answer 1:
2. A professor records the number of students who complain each week throughout the semester. If the class size is forty students, what are 3-sigma control limits for this class? Construct a control p-chart and interpret the data. Is the process in control? (20 points)
| Week number | Complaints |
| 1 | 5 |
| 2 | 2 |
| 3 | 7 |
| 4 | 1 |
| 5 | 3 |
| 6 | 2 |
| 7 | 8 |
| 8 | 1 |
| 9 | 3 |
| 10 | 5 |
| 11 | 4 |
| 12 | 6 |
| 13 | 3 |
| 14 | 1 |
| 15 | 4 |
Answer 2:
3. A department store chain is designing a layout for a new store. The store manager wants to provide as much convenience as possible for her customers. Based on historical data, the number of trips between departments per hour is given in the following closeness matrix. A block plan showing a preliminary layout is also shown.
Closeness Factors (Trips per hour)
1/O 2/S 3/H 4/T 5/A 6/E
1. Office Supplies (O) — 40 100 50 20 10
2. Sporting Goods (S) — 100 80 60 80
3. Hardware (H) — 70 100 50
4. Toys (T) — 70 90
5. Automotive (A) — 60
6. Electronics (E) —
|
|
3. HARDWARE |
||
| 4. TOYS | 5. AUTOMOTIVE | 6.ELECTRONICS |
Customer travel between departments is restricted to the aisles shown in the block plan as dotted lines.
CALCULATIONS TABLE:
| Dept. Pair | Closeness Factor (w) | Original Distance (dO) | w´ dO | Revision #1 Distance (d1) | w´ d1 |
| 1 – 2 | |||||
| 1 – 3 | |||||
| 1 – 4 | |||||
| 1 – 5 | |||||
| 1 – 6 | |||||
| 2 – 3 | |||||
| 2 – 4 | |||||
| 2 – 5 | |||||
| 2 – 6 | |||||
| 3 – 4 | |||||
| 3 – 5 | |||||
| 3 – 6 | |||||
| 4 – 5 | |||||
| 4 – 6 | |||||
| 5 – 6 | |||||
| TOTAL |
Complete the calculations and fill in the table above. Based on the table above answer the following questions.
a) What is the total expected weighted-distance score between Office Supplies and Hardware? (4 points)
b) What is the total weighted-distance score between Hardware and Toys? (4 points)
c) What is the total weighted-distance score for the entire store? (4 points)
d) A suggestion has been made to switch Hardware and Automotive. What would the total weighted-distance score for the entire store if these two departments were switched? (4 points)
e) Based on your calculations, would you recommend that Hardware and Automotive be switched? (4 points)
Answer 3:
4. Balance the assembly line for the tasks contained in the table. The desired output is 240 units per day. Available production time per day is 480 minutes.
| Work Element | Time (Sec.) | Immediate Predecessor(s) |
| A | 40 | — |
| B | 45 | — |
| C | 55 | A |
| D | 55 | B |
| E | 65 | B |
| F | 40 | C,D |
| G | 25 | D,E |
a) What is the desired Cycle time in seconds? (4 points)
b) What is the theoretical minimum number of stations? (4 points)
c) Use trial and error to work out a solution in the table below. Your efficiency should be at least 90%. (10 Points)
| Station | Candidates | Choice | Work-Element
Time (Sec) |
Cumulative Time (Sec) | Idle Time |
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