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Illusion [34]
3 years ago
6

There are two machines for sale that you are considering purchasing for your sawmill to produce hardwood flooring. You want to f

ind the one that has a higher process capability index, or Cpk. The goal is to produce flooring that is between 46 and 50 millimeters thick. The first machine is more accurate on average, producing to a mean of 48 millimeters…but unfortunately it has more variation with a standard deviation of .7 millimeters. The second machine is not as accurate, with a mean of 47mm, but does deliver a more consistent output, with standard deviation of 0.3mm.
1. What is the Cpk of machine 1?
2. What is the Cpk of machine 2?
3. If your goal is to be 'capable', what would you do?
4. If (somehow) you could combine the best of both machines (the centering or average of machine 1 coupled with the constancy or standard deviation of machine 2, what would the Cpk be?
Business
1 answer:
vladimir2022 [97]3 years ago
5 0

Answer:

1. The Cpk of machine 1 would be 0.952

2. The Cpk of machine 2 would be 1.111

3.  I would buy machine 2, because the Cpk value is more than 1.

4. The Cpk would be 2.222

Explanation:

1. In order to calculate the Cpk of machine 1 we would have to use to following formula:

Process capability index: Cpk= Min [(mean-L spec)/3sd; (U spec-mean)/3sd]

According to given data:

In machine 1, mean= 48mm

L spec= 46

U spec= 50

Standard deviation sd= 0.7

Therefore, Cpk of machine 1= [0.952;0.952]= 0.952

1. In order to calculate the Cpk of machine 2 we would have to use to following formula:

Process capability index: Cpk= Min [(mean-L spec)/3sd; (U spec-mean)/3sd]

According to given data:

In machine 2, mean= 47

L spec= 46

U spec= 50

Standard deviation sd= 0.3

Therefore, Cpk of machine 2= [1.111;3.333]= 1.111

3. If my goal is to be capable, I would buy machine 2, because the Cpk value is more than 1.

4. If you combine the best of both machines to calculate the cpk we to make the following calculation:

Combination specification, mean= 48 and L spec= 46 and U spec= 50, Standard deviation sd= 0.3

Therefore, Cpk= [2.222;2.222]= 2.222

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Fixed costs per year:

Fixed manufacturing overhead                      $ 300.000

Fixed selling and administrative                     $ 190.000

During the year, the company produced 25,000 units and sold 20,000 units. The selling price of the company's product is $50 per unit.

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2 years ago
A production department's output for the most recent month consisted of 8,900 units completed and transferred to the next stage
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Answer:

The equivalent units of production for the month is 11,850 units

Explanation:

The computation of the equivalent unit is shown below:

= (Completed and transferred units × completed percentage) + (ending work in progress units × completed percentage)

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Kelley Company and Mason Company each have sales of $200,000 and costs of $140,000. Kelley Company's costs consist of $40,000 fi
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The firm that would suffer the greatest decline in profits if sales volume declines by 15% is Mason Company.

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If sales volume decreases, the output of Mason Company would decline more compared with the output of Kelley company because it has a higher fixed cost. So, we when sales reduces, its cost would would not reduce as many as the cost of Kelley company.

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2 years ago
Believing in your capabilities and demonstrating<br> confidence in the tasks that you perform
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Walden Industries is considering investing in productionminusmanagement software that costs $ 630 comma 000​, has $ 60 comma 000
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Answer:

345,000

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