This example shows how a financial motivator can impact key performance indicators. We need to compare the 'before' and 'after' scenarios.
Initial Situation (Before Scheme):
- Labour Productivity: Output / Number of workers = 8,000 units / 50 workers = 160 units per worker.
- Total Labour Cost: Number of workers × Average wage = 50 × $400 = $20,000.
- Unit Labour Cost: Total Labour Cost / Output = $20,000 / 8,000 units = $2.50 per unit.
New Situation (After Scheme):
- Check Bonus Condition: The required output increase is 15% of 8,000 units = 0.15 × 8,000 = 1,200 units. The actual increase is 9,500 - 8,000 = 1,500 units. Since 1,500 > 1,200, the bonus is paid.
- New Labour Productivity: New Output / Number of workers = 9,500 units / 50 workers = 190 units per worker.
- New Total Labour Cost (with bonus): Initial Cost + 10% Bonus = $20,000 + (0.10 × $20,000) = $20,000 + $2,000 = $22,000.
- New Unit Labour Cost: New Total Labour Cost / New Output = $22,000 / 9,500 units = $2.32 per unit (rounded to 2 decimal places).
Final Answer:
(a) Change in labour productivity: Labour productivity increased from 160 units per worker to 190 units per worker, an increase of 30 units per worker.
(b) Change in unit labour cost: The unit labour cost decreased from $2.50 to $2.32, a saving of $0.18 per unit, despite the firm paying a $2,000 bonus. This shows the motivational scheme was financially successful.