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VladimirAG [237]
3 years ago
9

1) The defect rate for your product has historically been about 2.00%. For a sample size of 300, the upper and lower 3-sigma con

trol chart limits are:UCL= _______LCL=_________
Business
1 answer:
Sphinxa [80]3 years ago
4 0

Answer:

UCL= <u>0.044</u>

LCL=<u>-0.004</u>

Explanation:

Use following formula to calculate the UCL and LCL

UCL = p + z\sqrt{\frac{p(1-p)}{n}}

Where

P = defect rate = 2% = 0.02

z = sigma control chart limit = 3

n = samploe size = 300

PLacing values in the formula

UCL = 0.02+3\sqrt{\frac{0.02(1-0.02)}{300}}

UCL = 0.02 + 3 x 0.008082904

UCL = 0.02 + 0.024248711

UCL = 0.044248711

UCL = 0.044

Now calculate LCL using folllowing formula

LCL = p - z\sqrt{\frac{p(1-p)}{n}}

Where

P = defect rate = 2% = 0.02

z = sigma control chart limit = 3

n = samploe size = 300

PLacing values in the formula

LCL = 0.02 - 3\sqrt{\frac{0.02(1-0.02)}{300}}

LCL = 0.02 - 3 x 0.008082904

LCL = 0.02 - 0.024248711

LCL = -0.004248711

LCL = -0.004

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4 years ago
During March, Hanks Manufacturing started and completed 30,000 units. In beginning work in process, there were 5,000 units 60 pe
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Answer:

Equivalent units

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Conversion= 36,000 units

Explanation:

Equivalent units are notional whole units which represent incomplete work and are used to apportion cost between work progress and completed work

Equivalent units = Degree of work done(%) × units of inventory

Conversion cost

<em>Item</em>                                            <em>     equivalent units</em>

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Total equivalent unit                       <u>    36,000</u>

Notes

The following notes explains the computation of the items of equivalent unit for conversion cost:

1. DOC for opening inventory is 40% i.e 100%-60%. Remember that 60% work has been done in the previous period, so the balance is to be done in this current period  

2. Fully work represent the units of inventory introduced in the current period and completed in the same period. Meaning 100% work was achieved in the period.  

3. Closing work is only 40% completed. This represent work started this period but not yet completed.

Material  cost

<em>Item   </em>                                               <em> equivalent units</em>

Opening inventory 0% × 5,000 =         0

Fully worked units 100% × 30,000= 30,000  

Closing inventory 100%× 10,000=   <u> 10,000 </u>

Total equivalent unit                         <u> 40,000</u>

Notes

The following notes explains the computation of the items of equivalent unit for Material cost:

1. DOC for opening inventory is 0% i.e 100%-1000%. Remember that materials are added at the beginning. Hence all the materials required for the opening inventory had been added in the previous period

2. Fully work represent the units of inventory introduced in the current period and completed in the same period. Meaning 100% materials  was added in the period.  

3. All the materials required for the closing inventory were added in this period, hence, 100% degree of completion was used

Equivalent units

Materials= 40,000 units

Conversion= 36,000 units

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