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Case Study Report 1 THREE JAYS CORPORATION |Complete Solution|

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Case Study Report 1: THREE JAYS CORPORATION 1. Using the data in case Exhibit 4 and the 2012 annual demand, calculate the EOQ and ROP quantities for the five SKUs scheduled to be produced in the last week of June. How do these amounts compare with those calculated in 2011? Compare the increases in EOQs with the increases in annual demand. (2.5 points) The 2012 Annual Demand is given as The EOQ and ROP quantities for the five SKU’s based on 2012 annual demand is given as As Demand increased from 2011 to 2012, the EOQ’s also increased So, if Annual Demand doubles, the EOQ will increase by sqrt(2) 2. Brodie is uncertain if the costs presented in case Exhibit 2 are appropriate for determining the EOQs. What changes would you recommend, and why? Should the cost of the three idle part-time workers be included when the production line is down? Using the 2012 annual demand, and your recommendations, recalculate the EOQs for the five SKUs. (2.5 points) Brodie’s first assignment in his internship is to update the EOQ and ROP quantities for all 141 SKUs, to reflect the current levels of demand (D), because the original calculations were done in 2011 with sales figures from 2010. This task is simple for the ROP, where: Making changes to the EOQ amounts is more complicated, as several logical errors exist in the data that are used as inputs for the EOQ formula. Specifically, these are the setup cost (S), the unit cost (C), and the inventory carrying cost, which is expressed here as a percentage (i). (Note: Sometimes the variables i and C are combined in the EOQ formula. When this occurs, the product of i * C is represented by the symbol H, which is the inventory holding cost in dollars per unit, per year.) Errors in Calculating EOQs Setup cost (S) errors Assumptions in the EOQ Calculations There are several assumptions inherent in the EOQ formula, many of which are not applicable to the 3Js situation. These include: 1) Unit cost remains constant and does not vary (as would be the case with quantity disc unts). This is valid, given the information in the case. 2) There are no stock-out costs. While these costs are not mentioned in the case, they need to be considered in determining how much inventory in the form of safety stock to have on hand. 3) Demand is constant and known. At 3Js, however, the firm is g owing; the actual demand is not known, but estimated based on some type of forecasting method. 4) Production capacity is always available when it is needed. In other words, there is no lag time between when product is required and when it is produced. At 3Js, however, the production of a specific size jar is scheduled for a given week, and any requirements prior to that week will be delayed until that time. (Note: When Assumptions 3 and 4 are valid, stock-outs most likely will not occur, which is why there is no need to consider them in the EOQ formula.) 5) There are no interactions among the different items produced. There are significant interactions at 3Js, however, because of the relatively high setup cost associated with changing the jar size. As a result, items are grouped to reduce this cost, thereby affecting when they are produced. Comparing Old and New EOQs The calculation of the original EOQs shown in Table 1 below (and the attached Excel spreadsheet) are presented in case Exhibit 4: Table 1. EOQ Calculations Using Existing Method (see case Exhibit 2) and 2010 Sales Data If we just update this using the 2012 sales data, we have the comparison shown in Table 2 below (and the attached Excel spreadsheet): Table 2. EOQ Calculations Using Existing Method (see case Exhibit 2) and 2012 Sales Data The increases in sales range from 28.7% to 36.7%, but the increase in EOQs ranges from 13.5% to 16.9%. This difference is attributable to the fact that the EOQ is directly related to the square root of the demand, and not the demand itself. When demand doubles, the EOQ increases approximately 41% (the square root of 2 being 1.41). If we introduce the corrected costs, we have the revised EOQs shown in Table 3 below (and the attached Excel spreadsheet): Table 3. EOQ Calculations with Recommended Costs and 2012 Sales Data As noted in Table 3 above, the new EOQs are significantly less than the initial EOQs, even though sales have increased significantly. This can be attributed mainly to the significant difference in the setup cost and the cost of carrying inventory, both of which drive down the EOQ. 3. Compare your results with those obtained using the data in case Exhibit 2. What do you attribute the differences to? After speaking to Jake and Joshi, Brodie is now not sure if the EOQ model is the most appropriate for the current production process. Evaluate the scheduling method that Jake and Joshi are using. Why are they not following the established system? (2 points) 4. Compare the established EOQ/ROP procedure (described in case Exhibit 2) with the one that Jake and Joshi are using. Which system do you prefer? What improvements do you recommend?

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Case Study 1 – Three Jays Corporation



Case Study Report 1: THREE JAYS CORPORATION


Hi Dihn:

Please find this annotated write-upand my Excel spreadsheet. My comments are in RED font
below. I suggested them for Q1-Q2and Q3-Q4 together for better flow oflogic. Your final score
(now available on Canvas) is shown at the end ofthis document. As this was the first case
analysis ofthe course, I have graded your write-up based on your ideasand supporting logic, not
whether your answers are right or wrong.

Make a cover page next time.

1. Using the data in case Exhibit 4and the 2012 annual demand, calculate the EOQ and ROP
quantities for the five SKUs scheduled to be produced in the last week of June. How do these
amounts compare with those calculated in 2011? Compare the increases in EOQs with the increases
in annual demand. (2.5 points)

The 2012 Annual Demand is given as

Exhibit 5: Monthly Sales Data
Ja Fe Ma Oc Year
Label Type
n b Mar Apr y June July Aug Sept t Nov Dec Total
3Js Strawberry Jam
2012 345 301 325 299 344 296 329 334 349 325 289 333 3,869
2013 566 671 384 631 616 2,868
Marran
Raspberry Jelly
Markets
2012 229 270 236 279 273 255 236 232 235 276 244 241 3,006
2013 744 737 425 379 571 2,856
Kerry's Marts Peach Jam
2012 156 176 174 144 160 178 155 159 178 166 176 148 1,970
2013 167 146 78 84 117 592
Dom's Food
Blueberry Jam
Stores
2012 92 109 98 99 102 111 103 99 94 104 107 93 1,211
2013 100 99 80 139 108 526
AAA Grocers Apple/Mint Jelly
2012 66 77 79 69 65 66 68 67 62 74 71 68 832
2013 73 63 110 146 88 480

The EOQand ROP quantities for the five SKU’s based on 2012 annual demand is given as



Page 1 of 10

, Case Study 1 – Three Jays Corporation


Total Annual Carryin Unit EOQ ROP
Set up Deman g Cost Cost (C) (cases) (cases)
cost (S) d (D) (i) %
Strawberry Jam 63.7 3869 9% 28.34 440 223
Raspberry Jam 63.7 3006 9% 30.52 373 173
Peach Jam 63.7 1970 9% 26.86 322 114
Blueberry Jam 63.7 1211 9% 29.01 243 70
Apple/Mint Jelly 63.7 832 9% 26.32 212 48



As Demand increased from 2011 to 2012, the EOQ’s also increased

Deman Deman Increase EOQ EOQ Increase
d (2010) d (2012) in (2010) (2012) in EOQ
Demand
2993 3869 29.27% 387 440 13.70%
2335 3006 28.74% 329 373 13.37%
1492 1970 32.04% 280 322 15.00%
886 1211 36.68% 208 243 16.83%
625 832 33.12% 183 212 15.85%

So, if Annual Demand doubles, the EOQ will increase by sqrt(2)

2. Brodie is uncertain if the costs presented in case Exhibit 2 are appropriate for determining the
EOQs. What changes would you recommend,and why?should the cost ofthe three idle part-time
workers be included when the production line is down? Using the 2012annual demand,and your
recommendations, recalculate the EOQs for the five SKUs. (2.5 points)

In set up costs, the cost ofpart time workersshould also be included, as they are idle at that time. Assuming
the salary ofeach part time worker to be half that offull timeworker
So, Total salary of3 part time workers, during idle time of1 hour = 3*0.5*23.5 = $35.25 So,
new set up cost = $63.7 + $35.25 = $98.95

In carrying cost, storage cost was considered as 0%,whichshould be more because, there is always an
opportunity cost ofstoring one inventory over another.
So, considering storage cost as 2%, new carrying cost = 6% + 2% + 3% = 11%
Some ofthe basic assumptions ofEOQ are debated
• The demand is not uniform throughout the year,which may lead to stock outs

• The order ofnew batch takes timeand is not done instantly. For this case, the ROPshould be adjusted to
include the lead time to place order




Page 2 of 10

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