1: THREE JAYS CORPORATION;
Complete solution.
Instructions: This report addresses the case study requirements for SOC 200, focusing on Three
Jays Corporation, a jam and jelly manufacturer facing inventory management challenges. The
report includes calculations of EOQ and ROP for five SKUs using 2012 annual demand,
comparisons with 2011 calculations, evaluation of cost appropriateness, and recommendations
for improvement. All calculations and rationales are based on provided case data and industry-
standard inventory management principles.
Executive Summary
Three Jays Corporation (3Js), a subsidiary of Fremont Jams and Jellies (FJ&J) founded in 2005,
produces organic jams and jellies for specialty stores and small food chains. The company faces
high inventory levels that hinder funding for marketing campaigns. Brodie Arens, an MBA
intern, is tasked with updating the Economic Order Quantity (EOQ) and Reorder Point (ROP) for
141 SKUs to reflect 2012 demand, as prior calculations used 2010 data. This report calculates
EOQ and ROP for five SKUs scheduled for production in the last week of June 2012, compares
them to 2011 values, evaluates the appropriateness of costs in Exhibit 2, and provides
recommendations to optimize inventory management. Key findings include incorrect cost
calculations inflating EOQs, with recommendations to adjust setup and carrying costs, adopt a
Q-R model with weekly reviews, and implement demand forecasting to reduce costs and
improve efficiency.
Question 1: Calculate EOQ and ROP Quantities for Five
SKUs (2.5 Points)
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. Compare these
amounts with those calculated in 2011 and analyze the increases in EOQs relative to the
increases in annual demand.
2012 Annual Demand and Cost Data (Exhibit 4)
, Annual Setup Carrying Unit Cost 2012 EOQ 2012 ROP
Label Type
Demand (D) Cost (S) Cost (i) (C) (cases) (cases)
Strawberry
3,869 $98.95 11% $28.34 496 223
Jam
Raspberry
3,006 $98.95 11% $30.52 421 173
Jam
Peach Jam 1,970 $98.95 11% $26.86 363 114
Blueberry
1,211 $98.95 11% $29.01 274 70
Jam
Apple/Mint
832 $98.95 11% $26.32 238 48
Jelly
EOQ Formula:
[ EOQ = \sqrt{\frac{2DS}{iC}} ]
Where:
D = Annual Demand (cases)
S = Setup Cost per order ($)
i = Carrying Cost (% of unit cost)
C = Unit Cost per case ($)
ROP Formula:
[ ROP = d \times L ]
Where:
d = Average daily demand (cases/day) = Annual Demand / 365
L = Lead time (days, assumed as 21 days based on three weeks’ inventory)
Calculations for 2012
1. Strawberry Jam
o D = 3,869 cases, S = $98.95, i = 0.11, C = $28.34
o Carrying cost per unit = i × C = 0.11 × $28.34 = $3.12
o EOQ = (\sqrt{\frac{2 \times 3,869 \times 98.95}{3.12}} =
\sqrt{\frac{765,803.3}{3.12}} = \sqrt{245,449.78} \approx 496) cases
o Daily demand = 3, ≈ 10.6 cases/day
o ROP = 10.6 × 21 ≈ 223 cases
2. Raspberry Jam
o D = 3,006 cases, S = $98.95, i = 0.11, C = $30.52
o Carrying cost per unit = 0.11 × $30.52 = $3.36
o EOQ = (\sqrt{\frac{2 \times 3,006 \times 98.95}{3.36}} =
\sqrt{\frac{595,142.7}{3.36}} = \sqrt{177,125} \approx 421) cases
o Daily demand = 3, ≈ 8.24 cases/day
o ROP = 8.24 × 21 ≈ 173 cases
3. Peach Jam