## 1. Verdict and missing-data questions **Verdict:** The supplied data are sufficient for an aggregate single-style production/manpower efficiency review. The line reports **64.29% efficiency** against the explicit **70% target**, a **5.71 percentage-point shortfall**. At the stated 70% scenario efficiency, the available 16,800 attended labour-minutes correspond arithmetically to **980 pieces**, which is **120 pieces below the 1,100-piece requested target**. The data do **not** support an operation-level bottleneck diagnosis, downtime-root-cause analysis, or operation-wise staffing recommendation because operations/skills, machine information, WIP observations, and downtime details were not supplied. **Missing-data questions for deeper diagnosis:** 1. What are the individual sewing operations and operation-wise SAM/minutes, if available? 2. Are the **30 operators + 5 helpers** all working within exactly the same SAM scope stated for the polo shirt? 3. Were there any quality/rework/rejection records that should be reconciled against the **900 unique accepted pieces**? 4. If bottleneck/loss analysis is required, can you provide operation throughput, WIP by operation, machine constraints, skill coverage, and downtime logs? 5. Were all 35 workers present for the full 480 attended minutes, or should attendance be supplied by worker/group where it varied? --- # 2. Input ledger and KPI table ### Input ledger | Input | Supplied value | Unit / basis | Status | | ----------------------- | ---------------------: | -------------------------------------- | --------------------------------- | | Period | One full shift, Line A | Shift | **PASS** | | Style | Polo shirt | Single style | **PASS** | | SAM | 12 | standard minutes/accepted garment | **PASS** | | SAM scope | Operators + helpers | Labour scope | **PASS** | | Operators | 30 | people | **PASS** | | Helpers | 5 | people | **PASS** | | Attended time | 480 each | minutes/person, unpaid breaks excluded | **PASS** | | Total manpower | 35 | people | **PASS** | | Accepted output | 900 | unique accepted finished pieces | **PASS** | | WIP | Excluded | pieces | **PASS** | | Target | 1,100 | pieces | **PASS** | | Target efficiency | 70% | explicit percentage | **PASS** | | Scenario minutes/person | 480 | minutes/person | **PASS** | | Downtime log | None supplied | — | **NOT VERIFIED** | | Adjusted efficiency | Not requested | — | **NOT CALCULABLE / not required** | | Operations/skills | Not supplied | — | **NOT VERIFIED** | ### KPI table | Metric | Formula / substitution | Result | Scope & confidence | | ------------------------- | ---------------------- | ---------------------------: | --------------------------------------- | | Total counted people | 30 + 5 | **35 people** | Operators + helpers; High | | Attended labour minutes | 35 × 480 | **16,800 min** | Same SAM scope; High | | Earned standard minutes | 900 × 12 | **10,800 min** | 900 unique accepted polo shirts; High | | Reported line efficiency | 10,800 ÷ 16,800 × 100 | **64.29%** | One shift, Line A; High | | Target efficiency | Supplied | **70.00%** | Explicit factory target; High | | Efficiency gap | 64.29% − 70.00% | **−5.71 pp** | Relative to supplied target; High | | Pieces per counted person | 900 ÷ 35 | **25.714 pieces/person** | Fixed 35-person headcount; High | | Pieces per labour-hour | 900 ÷ (16,800 ÷ 60) | **3.214 pieces/labour-hour** | Attended labour basis; High | | Earned minutes/person | 10,800 ÷ 35 | **308.571 min/person** | Aggregate indicator; High | | Requested target | Supplied | **1,100 pieces** | Single style; High | | Current output gap | 1,100 − 900 | **200 pieces** | Actual output vs requested target; High | ### Important interpretation The **64.29%** figure is the reported efficiency under the supplied attendance basis: > **900 pieces × 12 SAM = 10,800 earned minutes** > **35 people × 480 minutes = 16,800 attended labour-minutes** > **10,800 ÷ 16,800 × 100 = 64.285714...% → 64.29%** No downtime was subtracted from the denominator. Because no downtime log was supplied, there is **no adjusted-efficiency calculation**. --- # 3. Target gap and manpower scenario ### 70% scenario capacity Formula: **floor(attended labour minutes × target efficiency ÷ SAM)** Substitution: **floor(16,800 × 70 ÷ 100 ÷ 12)** **= floor(980) = 980 pieces** This is an **arithmetic scenario, not a guaranteed production result**. | Scenario item | Result | | ------------------------- | -------------------: | | Available attended labour | 16,800 min | | Scenario efficiency | 70% | | SAM | 12 min/piece | | Arithmetic capacity | **980 pieces** | | Requested target | **1,100 pieces** | | Production gap | **120 pieces short** | So, under the stated assumptions, the current aggregate labour time at **70% efficiency** mathematically supports **980 pieces**, not 1,100. ### Equivalent manpower scenario Formula: **ceil(target pieces × SAM ÷ (minutes/person × target efficiency/100))** Substitution: **ceil(1,100 × 12 ÷ (480 × 0.70))** **= ceil(39.285714...) = 40 people** This means **40 people** is the aggregate arithmetic labour-capacity requirement under the supplied assumptions. Compared with the supplied 35-person count: **40 − 35 = 5-person arithmetic difference.** This is **not a hiring, reduction, or staffing recommendation**. It is an aggregate labour-capacity estimate only. Operation-wise staffing cannot be determined without operation SAMs, machine constraints, skill coverage, and worker allocation. --- # 4. Loss / bottleneck evidence table | Observation | Possible explanation | Next check | Owner role | | ---------------------------------------------------- | ----------------------------------------------------------------------------------- | --------------------------------------------------------------------------------------------------------- | -------------------------------------------- | | Reported efficiency is 64.29%, below 70% target | Aggregate earned minutes are lower than the planned labour-minute requirement | Reconcile hourly output and attendance against the shift production record | Production Supervisor | | 900 accepted pieces vs 1,100 target | 200-piece actual output gap | Review hourly production trend and production plan adherence | Production Planning / Production Supervisor | | 980-piece arithmetic capacity at 70% vs 1,100 target | Existing aggregate labour minutes do not mathematically cover target at 70% | Review whether the target assumes a different labour pool, shift duration, efficiency level, or SAM scope | Industrial Engineering / Production Planning | | No operation data supplied | Bottleneck cannot be identified from aggregate output alone | Collect operation-wise good output, WIP, SAM, machines and staffing | Industrial Engineering | | No downtime log supplied | Cause of lost capacity cannot be established | Record downtime duration, affected workers, cause and overlap during next shift | Production Supervisor / IE | | Helpers are included in the SAM scope | Aggregate result depends on helpers legitimately belonging to the same labour scope | Confirm helper activities are included in the 12-minute SAM and attendance denominator | Industrial Engineering | **Bottleneck status: NOT VERIFIED.** There is insufficient evidence to name sewing, feeding, finishing, inspection, machine capacity, skills, or any other operation as the bottleneck. Sequential operation capacities must not be added together, and no nominal cycle-time estimate has been supplied. --- # 5. Safe next-shift actions | Action | Evidence link | Owner role | Check time | Metric | Verification | | -------------------------------------------- | -------------------------------------------- | ------------------------------- | --------------------- | ------------------------------ | -------------------------------------------------------------------------- | | Record hourly **unique accepted** output | 900 accepted pieces and 200-piece target gap | Production Supervisor | Hourly | Accepted pieces/hour | Reconcile hourly totals to final 900-piece accepted count | | Record operation-wise good output and WIP | No bottleneck evidence currently available | IE / Production Supervisor | Mid-shift + end-shift | Good pieces + WIP by operation | Identify sustained upstream/downstream imbalance | | Record downtime with affected headcount | No downtime log supplied | Production Supervisor / IE | At each event | Labour-minutes lost | Multiply duration × affected headcount; avoid double-counting overlaps | | Verify SAM and labour-scope alignment | 12-minute SAM includes operators + helpers | Industrial Engineering | Before/after shift | SAM scope confirmation | Confirm every counted worker group belongs to the declared SAM scope | | Reconcile final accepted quantity and rework | Output must be unique accepted pieces | Quality / Production Supervisor | End of shift | Accepted unique pieces | Exclude WIP/rejects and prevent reworked garments from being counted twice | No action above recommends bypassing safety devices, reducing required breaks, extending working hours, or making an unqualified staffing change. --- # 6. Audit | Audit item | Status | Finding | | --------------------------- | ---------------------------------- | ------------------------------------------------------------------------------------- | | Output uniqueness | **PASS** | Input explicitly states 900 unique accepted finished pieces | | WIP exclusion | **PASS** | WIP explicitly excluded | | Rework double-counting | **NOT VERIFIED** | No rework record supplied | | SAM supplied | **PASS** | 12 standard minutes/polo shirt | | SAM operation scope | **PASS** | Operators + helpers explicitly stated | | Manpower scope match | **PASS** | 30 operators + 5 helpers matched to stated SAM scope, subject to factory confirmation | | Attendance arithmetic | **PASS** | 35 × 480 = 16,800 minutes | | Attendance variation | **NOT VERIFIED** | Uniform 480 minutes was supplied; individual variation not provided | | Downtime denominator | **PASS** | Full attended labour minutes retained | | Downtime overlap | **NOT VERIFIED** | No downtime records supplied | | Adjusted efficiency | **NOT CALCULABLE / not requested** | No validated excluded labour-minutes supplied | | Units | **PASS** | SAM/minutes, labour-minutes and pieces are consistent | | Efficiency calculation | **PASS** | 10,800 ÷ 16,800 = 64.2857% | | >100% efficiency validation | **PASS** | Result is below 100%; no capping required | | Scenario rounding | **PASS** | Capacity uses floor = 980; manpower uses ceiling = 40 | | Mixed-style calculation | **NOT APPLICABLE** | Single style only | | Bottleneck diagnosis | **NOT VERIFIED** | Operations, WIP, machine and skill observations absent | | External benchmark | **NOT USED** | Only supplied 70% target used | | OEE | **NOT USED** | This is a labour-efficiency review, not OEE | ### Bottom line **Actual:** 900 accepted pieces, **64.29% efficiency**. **Target:** 1,100 pieces at **70% efficiency**. **Current target gap:** **200 pieces**. **70%-efficiency arithmetic capacity with current attendance:** **980 pieces**. **Scenario gap:** **120 pieces**. **Equivalent aggregate manpower for 1,100 pieces at 70%:** **40 people**, versus 35 currently counted. These figures are **auditable arithmetic based strictly on the supplied data**, not a guarantee of production performance or a recommendation to change headcount.