Kamau's Total Wage Calculation According to Different Schemes

Introduction:
Kamau completed a job in 45 hours, although 60 hours were allowed for the task. His wage rate per hour is shs 16. In this response, we will calculate Kamau's total wage using three different schemes: Halsey Scheme, Halsey Weir Scheme, and Rowan Scheme.

1. Halsey Scheme:
The Halsey Scheme is a bonus system where the worker is guaranteed a fixed hourly wage, irrespective of the time taken to complete the job. The bonus is calculated as a percentage of the time saved.

Calculation:
In this case, Kamau completed the job in 45 hours, which is 15 hours less than the allowed time of 60 hours. Let's calculate his total wage using the Halsey Scheme.

Step 1: Calculate the bonus percentage (Halsey rate):
Bonus percentage = 30% (Fixed percentage for Halsey Scheme)

Step 2: Calculate the bonus amount:
Bonus amount = Bonus percentage * (Time saved)
= 30% * 15 hours
= 4.5 hours

Step 3: Calculate the total wage:
Total wage = (Time taken * Hourly wage) + Bonus amount
= (45 hours * shs 16/hour) + 4.5 hours * shs 16/hour
= shs 720 + shs 72
= shs 792

Therefore, Kamau's total wage according to the Halsey Scheme is shs 792.

2. Halsey Weir Scheme:
The Halsey Weir Scheme is a combination of the Halsey Scheme and the Weir Scheme. It guarantees a fixed hourly wage and provides a higher bonus rate as the time saved increases.

Calculation:
In this case, Kamau completed the job in 45 hours, which is 15 hours less than the allowed time of 60 hours. Let's calculate his total wage using the Halsey Weir Scheme.

Step 1: Calculate the bonus percentage (Halsey rate):
Bonus percentage = 30% (Fixed percentage for Halsey Scheme)

Step 2: Calculate the Weir rate:
Weir rate = Bonus percentage * (Time saved / Time allowed)
= 30% * (15 hours / 60 hours)
= 7.5%

Step 3: Calculate the bonus amount:
Bonus amount = Weir rate * (Time taken)
= 7.5% * 45 hours
= 3.375 hours

Step 4: Calculate the total wage:
Total wage = (Time taken * Hourly wage) + Bonus amount
= (45 hours * shs 16/hour) + 3.375 hours * shs 16/hour
= shs 720 + shs 54
= shs 774

Therefore, Kamau's total wage according to the Halsey Weir Scheme is shs 774.

3. Rowan Scheme:
The Rowan Scheme is a system where the worker is paid a fixed percentage of the time saved as a bonus.

Calculation:
In this case, Kam