40 hours is taken by a worker to do job for which time allowed is 50 hours. Tzs 125 per hour is his daily rate.calculate the Halsey plan and rowan plan?

Halsey Plan:
In the Halsey plan, the worker is paid a guaranteed day rate plus a bonus for completing the job in less time than the standard time allowed.

Daily rate = 40 hours * Tzs 125 = Tzs 5000
Bonus = (50 hours - 40 hours) * Tzs 125 = Tzs 1250

Total earnings under the Halsey plan = Daily rate + Bonus = Tzs 5000 + Tzs 1250 = Tzs 6250

Rowan Plan:
In the Rowan plan, the worker is paid a guaranteed day rate plus a bonus based on the time saved as a percentage of the standard time allowed.

Time saved = 50 hours - 40 hours = 10 hours
Percentage of time saved = (10 hours / 50 hours) * 100 = 20%

Bonus = Percentage of time saved * Daily rate = 20% * Tzs 5000 = Tzs 1000

Total earnings under the Rowan plan = Daily rate + Bonus = Tzs 5000 + Tzs 1000 = Tzs 6000

Therefore, under the Halsey plan, the worker earns Tzs 6250 and under the Rowan plan, the worker earns Tzs 6000.

Halsey Plan Calculation:

- Standard time allowed: 50 hours
- Time taken: 40 hours
- Time saved: 50 - 40 = 10 hours
- Halsey premium: 50% of time saved
- Halsey premium = 0.50 - 10 = 5 hours

- Hourly rate: Tzs 125
- Wages earned under Halsey plan: (Standard time allowed + Halsey premium) - Hourly rate
- Wages earned = (50 + 5) - 125 = Tzs 6,875

Rowan Plan Calculation:

- Standard time allowed: 50 hours
- Time taken: 40 hours
- Time ratio: 40 / 50 = 0.80

- Rowan premium: Time ratio x (1 - Time ratio) x 100%
- Rowan premium = 0.80 x (1 - 0.80) x 100% = 16%

- Hourly rate: Tzs 125
- Wages earned under Rowan plan: (Standard time allowed - Rowan premium) + (Actual time worked - Hourly rate)
- Wages earned = (50 - 0.16) + (40 - 125) = Tzs 5,800