solution

For the process shown below, suppose the each of the inventory buffers (shown as a “V”) can hold an infinite number of items and that no blocking occurs. Use this information to answer the following 2 questions.Numbers in parentheses reflect throughput capacities.

Task 1 (12) ———–> V (Buffer) —————–> Task 2 (8) ————>

Suppose buffer 1 is empty to start. After 4 hours, how many units will be in Buffer 1?

0

4

8

12

16

What would the utilization for task 1 be? Pick the closest answer.

0%

20%

40%

60%

80%

100%

Inspections of finished products are typically categorized as which of the four costs of quality?

Internal failure

External failure

Prevention

Appraisal

Conformance

A woodcutting operation has a target value of 96 inches and consistently averages 95.8 inches with a standard deviation of .05 inches. The design engineers have established an upper specification limit of 96.25 and a lower specification limit of 95.75 inches. Use this information to answer the next four questions.

The process capability ratio, Cp, of the operation is? Pick the closest answer.

.33

.67

1

1.33

1.67

2

The process capability index, Cpk, of the operation is? Pick the closest answer.

.33

.67

1

1.33

1.67

2

Suppose the company wants to improve its capability to a 3-sigma level by reducing the variability of its process. Which of the following standard deviations would meet a 3-sigma capablity for Cpk? Check all that apply, and assume the process mean remains unchanged from the original problem.

.005

.010

.015

.020

.025

.030

Suppose a customer requires 3-sigma capability, and you found Cp= 1.33 and Cpk= 0.33. Which of the following can you conclude?

The process is not capable of meeting the customer’s spec; Process centeredness needs to be addressed

The process is not capable of meeting the customer’s spec; Process variability needs to be addressed

The process is capable of meeting the customer’s spec; Neither centeredness nor variability need to be addressed

The process is capable of meeting the customer’s spec, centeredness needs to be addressed

The process is not capable of meeting the customer’s spec, but further investigation is needed to determine whether centeredness or variability need to be addressed

Suppose you are analyzing processing times for a machining operation. In your analysis, you found Cp= 2.1 and Cpk = 1.28. Given this information, which of the following sigma levels is the highest that you could claim your process is capable of meeting?

1 sigma

2 sigma

3 sigma

4 sigma

5 sigma

6 sigma

 
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