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Question:If the process could be improved so that the standard deviations were only about .10 millimeters, what would be the best that could be expected with the processes relative to fraction defective?

Short Answer

Expert verified

Answer

We can expect about 1.9 defective fractions from the given processes.

Step by step solution

01

Standard deviation

The standard deviationstell us how spread the data is to the mean. It is used to measure how far each observed value is from the mean

02

Calculate the value of Z using the standard deviation

The value of Z will be = 2.4-1.90.1

= 5

03

Find out the fraction of defective

= 2 (1- NORMDIST (5))

= 5.73303e-07

The fraction defectswill be around 273.

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Most popular questions from this chapter

A graphics reproduction firm has four automatic equipment units but occasionally becomes inoperative because of the need for supplies, maintenance, or repair. Each Unit requires service roughly twice each hour, or, more precisely, each Unit of equipment runs an average of 30 minutes before needing service. Service times vary widely, ranging from a simple service (such as pressing a restart switch or repositioning paper) to more detailed equipment disassembly. The average service time, however, is minutes. Equipment downtime results in a loss of \(20 per hour. The one equipment attendant is Paid \)6 per hour.

Using finite queuing analysis, answer the following questions:

B. What is the average number of units still in operation?

Question: The flow of materials through eight departments is shown on the next page. Even though the table shows flows into and out of the different departments, assume that the direction of flow is not important. In addition, assume that the cost of moving material depends only on the distance moved.

a. Construct a schematic layout where the departments are arranged on a 2 x 4 grid with each cell representing a 10 x 10-meter square area.

b. Evaluate your layout using a distance-times-flow measure. Assume that distance is measured rectilinearly (in this case, departments that are directly adjacent are 10 meters apart and those that are diagonal to one another are 20 meters apart).

Assume a fixed cost of \(900, a variable cost of \)4.50, and a selling price of \(5.50.

a.What is the break-even point?

b.How many units must be sold to make a profit of \)500.00?

c.How many units must be sold to average \(0.25 profit per unit? \)0.50 profit per unit?$1.50 profit per unit?

Question:Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows:

Sample number
Readings

1

1010

991

985

986

2

995

996

1009

994

3

990

1003

1015

1008

4

1015

1020

1009

998

5

1013

1019

1005

993

6

994

1001

994

1005

7

989

992

982

1020

8

1001

986

996

996

9

1006

989

1005

1007

10

992

1007

1006

979

11

996

1006

997

989

12

1019

996

991

1011

13

981

991

989

1003

14

999

993

988

984

15

1013

1002

1005

992

Develop an x-chart and an R-chart and plot the values. From the charts, what comments can you make about the process? (Use three-sigma control limits as in Exhibit 13.7.)

Question: The following tasks are to be performed on an assembly line:

Task

Seconds

Task That Must Precede

A

20

-

B

7

A

C

20

B

D

22

B

E

15

C

F

10

D

G

16

E, F

H

8

G

The workday is seven hours long. Demand for the completed product is 750 per day.

a. Find the cycle time required to produce 750 units per day.

b. What is the theoretical number of workstations?

c. Draw the precedence diagram.

d. Balance the line using sequential restrictions and the longest-operating-time rule.

e. What is the efficiency of the line balanced as in part (d), assuming it is running at the cycle time from part (a)?

f. Suppose that demand rose from 750 to 800 units per day. What would you do? Show any amounts or calculations.

g. Suppose that demand rose from 750 to 1,000 units per day. What would you do? Show any amounts or calculations.

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