A metal-cutting operation has a target value of 20 and consistently averages 19.8 with a standard deviation of 0.5. The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. What is the process capability index? A) 1.20 B) 1.33 C) 1.46 D) 1.66 12. Following Q11, what is the process capability ratio? A) 1.33 B) 1.50 C) 1.66 D) 2.00

Answers

Answer 1

Answer:

process capability  index =  Cpl ( lower ) = 1.20 ( A )

The process capability ratio = 1.33

Explanation:

Target value = 20

mean = 19.8

standard deviation = 0.5

upper specification limit = 22

lower specification limit = 18

The process capability index =

Cpu = [tex]\frac{22- 18}{6(0.5)}[/tex]   = 4 / 3 = 1.33

Cpk ( upper ) = (22 - mean ) / 3 * std

                      = ( 22 - 19.8 ) / ( 3 * 0.5 ) = 2.2 / 1.5 = 1.47

Cpl ( lower ) = ( mean - 18 ) / ( 3 * 0.5 ) = ( 19.8 - 18 ) / 1.5

                    = 1.8 / 1.5 =  1.2

hence the process capability index is Capability index with the minimum value which is Cpl ( lower ) = 1.20 ( A )

The process capability ratio = 1.33 refer to Cpu equation

                             


Related Questions

On July 8, Jones Inc. issued an $62,900, 9%, 120-day note payable to Miller Company. Assume that the fiscal year of Jones ends on July 31. Using the 360-day year, what is the amount of interest expense recognized by Jones in the current fiscal year

Answers

Answer:

The amount of interest expense recognized by Jones in the current fiscal year is $361.675

Explanation:

According to the given data Jones Inc. issued an $62,900, 9%, 120-day note payable to Miller Company On July 8, therefore if the the fiscal year of Jones ends on July 31 there 23 days between July 8 and July 31.

So, to calculate the amount of interest expense recognized by Jones in the current fiscal year we would have to make the following calculation:

Interest expense=$62,900*9%*(23/360)

Interest expense=$361.675

The amount of interest expense recognized by Jones in the current fiscal year is $361.675

Job costing, unit cost, ending work in process. Rowan Company produces pipes for concert-quality organs. Each job is unique. In April 2016, it completed all outstanding orders, and then, in May 2016, it worked on only two jobs, M1 and M2: A B C 1 Rowan Company, May 2016 Job M1 Job M2 2 Direct materials $ 75,000 $ 56,000 3 Direct manufacturing labour 275,000 209,000 Direct manufacturing labour is paid at the rate of $25 per hour. Manufacturing overhead costs are allo- cated at a budgeted rate of $22 per direct manufacturing labour-hour. Only Job M1 was completed in May. Required: 1. Calculate the total cost for Job M1. 2. 1,600 pipes were produced for Job M1. Calculate the cost per pipe. 3. Prepare the journal entry transferring Job M1 to finished goods. 4. What is the ending balance in the Work-in-Process Control account?

Answers

Answer:

1. The total cost for Job M1 is $592,000

2. Cost per unit is $370

3. Journal

Finished goods inventory 592,000  

Work in process inventory                    592,000

4.  Ending balance in Work-in-Process Control account is $448,920

Explanation:

                                A                              B                          C

1)   Rowan Company, May 2016           Job M1              Job M2

2)  Direct materials                             $ 75,000             $ 56,000

3)  Direct manufacturing labour          275,000                209,000

Direct manufacturing labour is paid at the rate of $25 per hour

Manufacturing overhead costs are allocated at a budgeted rate of $22 per direct manufacturing labour-hour

1. Direct labor rate = $25 per hour

Direct labor hours used on Job M1 = Direct manufacturing labor ÷ Direct labor rate

= 275,000 ÷ 25

= $ 11,000

Manufacturing overhead applied to Job M1 = Direct labor hours used on Job M1 x 22

= $11,000 x 22

= $242,000

Job cost sheet (Job M1)

Direct material  = $75,000

Direct labor = $275,000

Overhead applied  = $242,000

Total cost = $592,000

2.  Cost per unit = Total cost ÷ Number of units

= 592,000 ÷ 1,600

= $370

3. Journal

Finished goods inventory 592,000  

Work in process inventory                    592,000

4.  Direct labor hours used on Job M2 = Direct manufacturing labor/Direct labor rate

= 209,000 ÷ 25

= $8,360

Manufacturing overhead applied to Job M2 = Direct labor hours used on Job M2 x 22

= $8,360 x 22

= $183,920

Job cost sheet (Job M2)

Direct material  = $56,000

Direct labor  = $209,000

Overhead applied  = $183,920

Total cost  = $448,920

Ending balance in work in process control account = $448,920

Every organization needs some degree of flexibility and standardization. True False Being overly committed to following rules can harm an organization and keep it from growing. True False Every organization needs either a degree of ________ to adapt to new situations or some degree of ________ to make routine tasks and decisions as efficient and effective as possible. standardization; flexibility culture; vision flexibility; standardization structure; design

Answers

Answer:

1. True: Every organization needs some degree of flexibility and standardization.

2. True: Being overly committed to following rules can harm an organization and keep it from growing.

3. flexibility; standardization.

Explanation:

It is really important and necessary that all organization have some degree of flexibility and standardization. Every organization is expected to be flexible, in order to be able to effectively manage potential changes or challenges that arises in business. They should also be standardized, by having proper policies, strategies and structure for the purpose of running the business smoothly and efficiently.

However, if an organization is overly committed to following rules, this can cause harm to it's business operations and thereby hindering its growth and development.

Hence, some degree of flexibility is needed in every organization in order to adapt to new situations or some degree of standardization to make routine tasks and decisions as efficient and effective as possible.

Sam is training for a triathlon, a timed race that combines swimming, biking, and running. Consider the following sentence: In order to swim for an hour, Sam must take time away from work, where he earns $10 per hour. This is in addition to paying a $5 entrance fee for the pool. Which basic principle of individual choice do these statements best illustrate? The cost of something is what you give up to get it. Markets are usually a good way to organize economic activity. People usually exploit opportunities to make themselves better off. Trade can make everyone better off.

Answers

Answer:

The cost of something is what you give up to get it.

Explanation:

To partake in triathlon, Sam is forgoing the amount he would have earned if he went to work instead. This is known as the opportunity cost or implicit cost

Opportunity cost is the cost of the next best option forgone when one alternative is chosen over other alternatives.

Sam has to pay $5 to partake in the triathlon. This amount is known as explicit cost. Explicit cost is the cost incurred in carrying out an activity.

Sam's accounting cost is $5

Sam's economic cost is $5 + $10 = $15

I hope my answer helps you

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