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GrogVix [38]
3 years ago
8

A specific product has demand during lead time of 100 units, with a standard deviation of 25 units. What safety stock (approxima

tely) provides a 95% service level? A) 41 B) 55 C) 133 D) 140 E) 165

Business
1 answer:
snow_tiger [21]3 years ago
4 0

Answer: A. 41 units

Explanation:

Safety Stock refers to inventory that a company holds in case certain factors cause them to run out of goods to sell.

It is calculated by the following formula;

Safety Stock = Lead time factor * Service factor * Standard Deviation

The desired service factor for a 95% service level as shown in the attached table is, 1.64.

Assume a 1 month lead time factor.

Safety Stock = 1 * 1.64 * 25

= 41 units

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sale                        59387 55355 55870 52708 53341

COGS                23425 20651 20522 21418 20507

gross earnings   35962 34704 35348 31290 32834

SG&A EXPENSE   21149 19835 19693 18729 18117

operating income   14813 14869 15655 12561 14717

non operating income  533   -51          224   595 463

interest expense   733    337     192          244 90

unusual expense   1677 269        -114     301          217

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income taxes         17433 17661 19752 15552 18585

Net income          10316 11420 11704 9620 11005

b. Average tax rate = total taxes / total taxable income ( for this calculation we need the tax table for identifying the correct tax brackets for each taxable income falling on it.

                                             2016            2015        2014       2013          2012

gross profit margin       0.61%          0.63%   0.63%   0.59%     0.62%

net profit margin        0.17 %         0.21%        0.21%    0.18%      0.21 %

c. is attached

d.income statement   2016 2015 2014 2013 2012

sale                             100   100   100  100           100

COGS                   39.44% 37.31% 36.73% 40.64% 38.45%

gross earnings   60.56% 62.69% 63.27% 59.36% 61.55%

SG&A EXPENSE   35.61% 35.83% 35.25% 35.53% 33.96%

operating income   24.94% 26.86% 28.02% 23.83% 27.59%

non operating expense  0.90% -0.09% 0.40% 1.13% 0.87%

interest expense   1.23% 0.61% 0.34% 0.46% 0.17%

unusual expense   2.82% 0.49% -0.20% 0.57% 0.41%

pretax                   46.73% 52.54% 56.30% 47.76% 55.47%

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gross profit margin = gross profit/ sales

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