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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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Answer:

13.44%

Explanation:

Debt to total assets = Total Debt / Total Assets

45% = Total debt / $230,000

Total Debt = $230,000 x 45% = $103,500

As we know

Assets = debt + Equity

$230,000 = $103,500 + Equity

Equity = $230,000 - $103,500 = $126,500

Return on Equity is the measure of financial performance which can be calculated by dividing net income for the year by total shareholder's equity.

Return on equity = Net income for the year / Shareholders equity

ROE = $17,000 / $126,500 = 0.1344 = 13.44%

6 0
3 years ago
Check my workCheck My Work button is now enabledItem 15 Time Remaining 2 hours 27 minutes 1 second02:27:01 Exercise 8-16 Direct
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Answer:

Zan Corporation

Production Department

Quarters                                1st            2nd           3rd          4th       Total

1. Raw materials              50,000g   62,000g  54,000g  44,000g 210,000g

  Purchased

2. Cost of purchases    $60,000   $74,400  $64,800  $52,800 $252,000

3. Total disbursement   $38,880  $68,640  $68,640   $57,520  $233,680

4. Direct labor costs      $11,500    $18,400    $16,100   $13,800    $59,800

Explanation:

a) Data and Calculations:

Forecast Production

Quarters                               1st            2nd           3rd            4th       Total

Units to be produced        5,000        8,000       7,000       6,000     26,000

Grams required               40,000g   64,000g  56,000g   48,000g 208,000

Beginning Inventory          6,000g    16,000g   14,000g    12,000g   6,000g

Raw materials purchase 50,000g   62,000g  54,000g   44,000g 210,000g

Ending Inventory             19,200g     16,800g   14,400g      9,600g

Cost of purchases        $60,000   $74,400  $64,800   $52,800  $252,000

Beginning Inventory cost  7,200     19,200      16,800      14,400

Total Cost of materials $67,200  $93,600   $81,600   $67,200

Cost of materials used $48,000  $76,800  $67,200   $57,600

Grams required by 1 unit        8 gm

Cost of 1 gm = $1.20

Ending Raw materials

25% of next quarter's  16,000gm    14,000gm  12,000gm  8,000gm

Accounts Payable

Beginning balance         $2,880

Cost of purchases       $60,000   $74,400  $64,800   $52,800  $252,000

Cash Disbursement for purchases of materials:

Cash Payment:                  1st            2nd           3rd            4th       Total

60% quarter acquired  36,000      44,640     38,880      31,600

40% in ffg quarter          2,880      24,000     29,760     25,920

Total disbursement   $38,880    $68,640  $68,640   $57,520  $233,680

Cost of direct labor:

Each unit requires 0.20 direct labor-hours at $11.50 per hour

Quarters                               1st            2nd           3rd            4th       Total

Units to be produced       5,000        8,000       7,000       6,000     26,000

Total direct labor-hours    1,000         1,600        1,400       1,200        5,200

Direct labor costs          $11,500     $18,400    $16,100   $13,800   $59,800

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Answer:

A supply shock is an unpredictable incident that changes the supply of a product or a service, subsequent in an unexpected modification in its value. Supply shocks can be undesirable (decreased supply) or optimistic (increased supply)

(a) The two types of shock which are:  

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(b) If the charges of oil increases as in case (i) that will push companies’ prices and thus decrease SRAS. The new equilibrium will be established at a inferior level of output and higher charge level. This is reflected in the diagram attached.

In the case (ii), the opposed of this will occur. The SRAS will rise shifting the SRAS rightward and carry about a new equilibrium at upper level of output and lesser prices.

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Answer:

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Explanation:

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5 0
3 years ago
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spin [16.1K]

Answer:

Last in, Fast out (LIFO)

Explanation:

The Last in, Fast out (LIFO) method is an accounting method used to attach value to inventory.  Under the LIFO formula, the assumption is that the last item to be purchased will be sold first. The costs of the final goods to be produced or purchased will be used to expense the first batch of products to be sold.

LIFO is the contrast of FIFO, which stands for first in first out.  LIFO, as an inventory accounting technique, is rarely used outside the US. The approach is suitable for large businesses with huge inventories such as car dealers and retailers.

7 0
3 years ago
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