Worked Solution
✓ VerifiedStep 1: Determine Maximum and Minimum Lead Times
Given: Average Lead Time = 6 days and Difference (Max LT − Min LT) = 4 days.
Using simultaneous equations:
- Max Lead Time + Min Lead Time = 2 × 6 = 12 days
- Max Lead Time − Min Lead Time = 4 days
Solving: Maximum Lead Time = 8 days and Minimum Lead Time = 4 days
Sub-part (i): Maximum Consumption per day
Using the Re-order Level formula:
Re-order Level = Maximum Consumption × Maximum Lead Time
1,60,000 = Maximum Consumption × 8
Maximum Consumption = 20,000 units per day
Sub-part (ii): Minimum Consumption per day
Using the Maximum Stock Level formula:
Maximum Stock Level = Re-order Level + EOQ − (Minimum Consumption × Minimum Lead Time)
1,90,000 = 1,60,000 + 90,000 − (Minimum Consumption × 4)
1,90,000 = 2,50,000 − (Minimum Consumption × 4)
Minimum Consumption × 4 = 2,50,000 − 1,90,000 = 60,000
Minimum Consumption = 15,000 units per day
Summary of Results:
- Maximum Consumption per day = 20,000 units
- Minimum Consumption per day = 15,000 units
Write it like this
1The skeleton
- Derive Max LT and Min LT first using simultaneous equations — never assume or state them without working; examiners award a dedicated step mark here before you even touch consumption.
- Write the Re-order Level formula verbatim before substituting — 'Re-order Level = Maximum Consumption × Maximum Lead Time' must appear as a line; plugging numbers cold with no formula loses the formula mark.
- Show the division step explicitly (1,60,000 ÷ 8 = 20,000) — don't mentally compute and just write the answer; the working line is where the mark sits.
- Write the Maximum Stock Level formula in full before rearranging — this is the trickiest formula in this topic and examiners specifically look for it; state it, then substitute, then rearrange.
- Show the rearrangement arithmetic step-by-step (2,50,000 − 1,90,000 = 60,000 → ÷4) — skipping even one line here risks losing a step mark if your final answer is slightly off.
- End with a mini-summary table or two boxed lines stating both answers with 'units per day' — examiners scanning fast will tick your answer only if units are explicit and answers are visually distinct.
2Examiner-rewarded phrases
3Common trap
The killer mistake here is using Average Consumption in the Maximum Stock Level formula instead of Minimum Consumption — the formula literally says 'Minimum Consumption × Minimum Lead Time' but students on autopilot write average everywhere. Double-check which consumption goes into which formula before you start substituting.