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I have some operation management questions that I need the answer by 6:45 CST
QUESTION
1
1.
Five samples of size
4
were taken from a process. The ranges for each of the five samples were 1.
7
5
,
2
.42, 2.
75
, 2.
0
4, and 2.
8
0, respectively. The values of the sample average for each sample were 1
9
.5,
20
.
3
,
18
.4, 20.1, and 18.9, respectively.
W
hat can you tell management from this analysis?
A
nswer
|
B oth process variability and process average are in control |
|
The process variability is out of control, and we cannot make a statement about the process average. |
|
The process variability is out of control, but the process average is in control. |
|
The process variability and the process average are out of control. |
|
We cannot tell if the process variability or the process average is out of control. |
5 points
QUESTION 2
1.
A milling operation has historically produced an average thickness of 0.005 inch with an average range of 0.000
15
inch.
C
urrently, the first three items from each batch of 20 are inspected. What is the value of the LCLx?
Answer
|
Less than or equal to 0.00 10 0 |
|
Greater than 0.00 100 but less than or equal to 0.00299 |
|
Greater than 0.00299 but less than or equal to 0.00479 |
|
Greater than 0.00479 |
5 points
QUESTION 3
1.
Historically, the average diameter of the holes drilled has been 0.34 cm and the average range has been 0.
14
cm. Assuming samples of size 7 will be taken. What is the value of the LCLR?
Answer
|
Less than or equal to 0.010 |
|
Greater than 0.010 but less than or equal to 0.020 |
|
Greater than 0.020 but less than or equal to 0.0 30 |
|
Greater than 0.030 |
5 points
QUESTION 4
1.
Historically, the average diameter of the holes drilled has been 0.34 cm and the average range has been 0.14 cm. Assuming samples of size 7 will be taken. What is the value of the UCLx?
Answer
|
Less than or equal to 0.0898 |
|
Greater than 0.0899 but less than or equal to 0. 12 42 |
|
Greater than 0.0.1243 but less than or equal to 0.2478 |
|
Greater than 0.2479 but less than or equal to 0.42 6 4 |
|
Greater than 0.4264 |
5 points
QUESTION 8
1.
A metal-cutting operation consistently averages
19
.8 with a standard deviation of 0.4. The design engineers have established an upper specification limit of 20 and a lower specification limit of 17. Which statement concerning this process is TRUE?
Answer
|
The process capability ratio is 1.46 |
|
The process capability index is 1.33 |
|
The process is in control |
|
None of these is true |
5 points
QUESTION 9
1.
ABC Service center is capable of handling 1,000 requests per day when it runs for one 8 hour shift.
D
ue to recent regulations and employee training this center has handled an average of 632 requests per day for the past 4 months. What is the utilization of the system?
Answer
|
632 requests/day |
|
1,000 requests/day |
|
158.2% |
|
63.2% |
|
None of the above |
5 points
QUESTION 10
1.
1. ABC Manufacturing Company is producing two types of products:
X
and
Y
. The annual demand forecasts, batch size, and time standards follow:
|
Product X |
Product Y |
|||||||||||||
|
Demand forecast (units/yr) |
2,000 |
3,000 |
||||||||||||
|
Batch size (units/batch) |
30 | 15 | ||||||||||||
|
Processing time (hr/unit) |
3.6 |
4.2 |
||||||||||||
|
Setup time (hr/batch) |
8 | 12 |
Both products are produced on the same machine, called JTM-Flex. The company works 2
50
days per year and operates two shifts, each covering 8 hours. If a 15 percent capacity cushion is maintained, how many JTM-Flex machines are required?
Answer
| 5 | ||||
| 6 | ||||
| 7 | ||||
| 9 |
5 points
QUESTION
11
1.
A company makes four products that have the following characteristics:
| Product |
Selling price |
Materials |
Labor |
|||||||
| A | 50 | 10 | ||||||||
| B | 75 | |||||||||
| C | 100 | |||||||||
| D |
150 |
40 |
The processing requirements for each product on each of the four machines are shown in the table.
|
Processing time (minutes/unit) |
||||||||
|
Work Center |
||||||||
| W | 2 | 4 | ||||||
| X | 11 | |||||||
| Y | 3 | 14 | ||||||
|
Z |
0 |
Work centers W, X, Y, and Z are available for 40 hours per week and have no setup time when switching between products. Market demand for each product is 80 units per week.
What is the bottleneck workstation?
Answer
|
There is no bottleneck in this schedule |
5 points
QUESTION 12
1.
A company makes four products that have the following characteristics:
Product
Selling price
Materials
Labor
A
50
10
15
B
75
30
15
C
100
50
30
D
150
75
40
The processing requirements for each product on each of the four machines are shown in the table.
Processing time (minutes/unit)
Work Center
A
B
C
D
W
7
2
4
15
X
8
11
5
6
Y
3
5
14
8
Z
11
0
7
9
Work centers W, X, Y, and Z are available for 40 hours per week and have no setup time when switching between products. Market demand for each product is 80 units per week.
Using bottleneck method (maximizing the contribution margin per minute at the bottleneck for each product) in what sequence should products be scheduled for production?
Answer
|
A, B, C, D |
|
A, B, D, C |
|
D, C, B, A |
|
C, D, A, B |
|
B, A, D, C |
5 points
QUESTION 13
1.
Customers arrive every three minutes governed by a Poisson distribution. A single server is capable of handling 30 customers per hour and this service time is exponentially distributed. What is the likelihood that the server is not busy at any given time?
Answer
|
less than or equal to 0.1 |
|
|
greater than 0.1 but less than or equal to 0.15 |
|
|
greater than 0.15 but less than or equal to 0.25 |
|
|
greater than 0.25 but less than or equal to 0.32 |
|
|
Greater than 0.32 |
5 points
QUESTION 14
1.
Customers arrive every three minutes governed by a Poisson distribution. A single server is capable of handling 30 customers per hour and this service time is exponentially distributed. What is the likelihood that more than 4 customers are in the system?
Answer
|
less than or equal to .1 |
5 points
QUESTION 15
1.
A trucking company has 5 trucks that each requires service at an average rate of once every 40 hours, according to an exponential distribution. The firm has a mechanic who needs 5 hours to complete the average job with exponential service times. What is the probability that there will be no trucks in the system?
Answer
|
less than or equal to 0.50 |
|
greater than 0.50 but less than or equal to 0.60 |
|
greater than 0.60 but less than or equal to 0.70 |
|
greater than 0.70 |
5 points
QUESTION
16
1.
A trucking company has 5 trucks that each requires service at an average rate of once every 40 hours, according to an exponential distribution. The firm has a mechanic who needs 5 hours to complete the average job with exponential service times. What is the average utilization of the mechanic?
Answer
|
less than or equal to 50 percent |
|
greater than 50 percent but less than or equal to 60 percen |
|
greater than 60 percent but less than or equal to 70 percent |
|
greater than 70 percent |
5 points
QUESTION 17
1.
A trucking company has 5 trucks that each requires service at an average rate of once every 40 hours, according to an exponential distribution. The firm has a mechanic who needs 5 hours to complete the average job with exponential service times. What is the average number of trucks waiting for service?
Answer
|
fewer than or equal to 0.15 |
|
greater than 0.15 but fewer than or equal to 0.20 |
|
greater than 0.20 but fewer than or equal to 0.30 |
|
greater than 0.30 |
5 points
QUESTION 18
1.
Solve this linear programming problem. What is the optimal value of the objective function?
Maximize $3x + $5y
subject to:
8x + 14y <= 94
9x + 12y <= 90
Answer
|
Less than or equal to 30 |
|
Greater than 30 but Less than or equal to 40 |
|
Greater than 40 but Less than or equal to 50 |
|
Greater than 5 0 but Less than or equal to 60 |
|
Greater than 60 |
5 points
QUESTION 19
1.
1. Solve this linear programming problem. What is the shadow price (dual value) for the first constraint?
Maximize $3x + $5y
subject to:
8x + 14y <= 94
9x + 12y <= 90
Answer
|
Less than or equal to 0.5 |
|
Greater than 0.5 but Less than or equal to 1 |
|
Greater than 1 but Less than or equal to 2 |
|
Greater than 2 but Less than or equal to 5 |
| Greater than 5 |
QUESTION 20
1.
ABC Logistics Inc. has four warehouses (A, B, C, and D) that require monthly shipments of 300, 350, 500, and 550 units per month, respectively. Its three plants (1, 2, and 3) have monthly capacities of 600, 450, and 650, respectively.
Plant
capacities, warehouse needs and shipping costs (in $) are shown in the following table. For example, the shipping cost from Plant 1 to
Warehouse
A is $15 per unit.
| Warehouse | ||||
| Plant | ||||
| 1 | 16 | |||
| 18 | 19 | 20 | ||
What is the optimal shipping cost?
Answer
|
Less than or equal to $10,000 |
|
Greater than $10,000 but Less than or equal to $15,000 |
|
Greater than $15,000 but Less than or equal to $20,000 |
|
Greater than $20,000 but Less than or equal to $25,000 |
|
Greater than $25,000 |
5 points
