Three Jays Corporation Custom Case Solution & Analysis

Evidence Brief: Three Jays Corporation

1. Financial Metrics

Source: Case text and Exhibit 1. The 25 percent carrying cost includes capital costs, insurance, and taxes. Setup costs represent labor and lost production time during changeovers.

2. Operational Facts

• Production Process: Two-stage process involving cooking in large vats followed by high-speed bottling.
• Scheduling: Currently determined by the production manager based on historical patterns and immediate stock needs.
• Inventory Levels: Average inventory across all items is approximately 3.5 months of supply.
• Service Levels: Frequent stockouts reported on high-volume items like Strawberry 12oz, despite high overall inventory.
• Warehouse: Physical space is limited; excessive inventory leads to off-site storage costs not fully quantified in the standard carrying cost.

3. Stakeholder Positions

• Jerry (President): Concerned about the cash tied up in inventory and the frequency of missed orders.
• Production Manager: Prefers long production runs to minimize the 350 dollar setup cost and maximize throughput.
• Sales Team: Demands 100 percent availability for all 57 items to satisfy retail partners.

4. Information Gaps

• Specific demand variability (standard deviation) for each of the 57 items is not provided for all months.
• The exact cost per square foot for overflow warehousing is omitted.
• Capacity limits of the cooking vats versus bottling speed for each specific recipe are not detailed.

Strategic Analysis: Inventory Optimization

1. Core Strategic Question

• How can Three Jays Corporation reconfigure its production lot sizes to eliminate stockouts while reducing the 25 percent annual carrying cost?
• Is the Economic Order Quantity (EOQ) model applicable given the production constraints and seasonal demand?

2. Structural Analysis

Applying the EOQ framework to the five representative items reveals a significant mismatch between current batch sizes and economic optimums. Current batches are often too large for slow-moving items (increasing carrying costs) and too infrequent for high-volume items (causing stockouts).

The 350 dollar setup cost is the primary driver of production behavior. However, the 25 percent carrying cost is ignored in daily scheduling. This creates a structural bias toward overproduction.

3. Strategic Options

Option 1: Implement Pure EOQ Policy

• Rationale: Use the square root formula to balance setup and holding costs for all 57 SKUs.
• Trade-offs: Reduces total cost but ignores production capacity limits during peak seasons.
• Requirements: Centralized inventory tracking and automated batch size calculators.

Option 2: ABC-Categorized Inventory Management

• Rationale: Apply EOQ to A items (high volume) while using fixed period replenishment for C items.
• Trade-offs: Simplifies management but may leave slow-movers with high carrying costs.
• Requirements: Classification of all 57 items by annual dollar volume.

4. Preliminary Recommendation

Three Jays should adopt an EOQ-based production model adjusted for safety stock. The current intuitive approach fails to account for the time value of money. Transitioning to EOQ for the top 20 percent of items will immediately improve cash flow and service levels.

Implementation Roadmap

1. Critical Path

• Month 1: Audit all 57 SKUs to determine precise annual demand and demand variability.
• Month 1: Calculate EOQ and Reorder Points (ROP) for every item using the 350 dollar setup and 25 percent holding cost parameters.
• Month 2: Pilot the new batch sizes on the five highest-volume items.
• Month 3: Evaluate warehouse space utilization and adjust safety stock levels for seasonal peaks.

2. Key Constraints

• Production Bottleneck: The cooking vats can only process one flavor at a time. Increased changeovers from smaller EOQ batches may reduce total monthly capacity.
• Data Integrity: The transition requires accurate, real-time inventory counts which the current manual system may not support.

3. Risk-Adjusted Implementation Strategy

To mitigate the risk of production downtime, the company will not implement EOQ for all items simultaneously. We will maintain a 10 percent capacity buffer during the first 90 days. If changeover time exceeds expectations, setup costs must be re-evaluated to reflect the true cost of lost capacity.

Executive Review and BLUF

1. BLUF

Three Jays Corporation must transition from intuitive production scheduling to an EOQ-driven model. Current operations suffer from a classic inventory paradox: excessive capital tied up in slow-moving stock alongside frequent stockouts of high-demand items. By adopting calculated batch sizes, the company can reduce average inventory levels by an estimated 15 to 20 percent while improving order fulfillment. Implementation must prioritize the five highest-volume SKUs to stabilize cash flow before a full-scale rollout.

2. Dangerous Assumption

The analysis assumes that the 350 dollar setup cost is static. If the production manager increases changeover speed through better process discipline, the EOQ decreases. Conversely, if the cooking vats are the absolute bottleneck, the cost of a setup is not just labor but the margin of the units not produced. Underestimating the opportunity cost of capacity is the greatest risk.

3. Unaddressed Risks

• Seasonality: EOQ assumes constant demand. Applying it to highly seasonal fruit preserves without safety stock buffers will lead to massive stockouts in peak months.
• Supplier Reliability: The plan assumes raw ingredients are always available for any flavor. If fruit supply is inconsistent, the production schedule will break regardless of the inventory model.

4. Unconsidered Alternative

The team did not evaluate a move toward a Just-In-Time (JIT) cooking process. Reducing the 350 dollar setup cost through SMED (Single-Minute Exchange of Die) principles would be more effective than simply managing the inventory resulting from high setup costs. Solving the setup problem eliminates the need for large batches entirely.

5. Verdict

APPROVED FOR LEADERSHIP REVIEW