Question

An employer marks an employee GH$25.00 a day. It was agreed that if the employee works for more than 20 days, he will be paid GH$38.00 a day for the extra days worked. Calculate his wage if he works for:

A) 10 days
B) 20 days
C) 27 days
D) 30 days

Answer 1

The employee's wage is calculated based on the number of days worked and the agreed daily rates. For 10 days and 20 days, the wage is at a standard rate, while days worked beyond 20 are at a higher rate. The wages for working 10, 20, 27, and 30 days are GH$250.00, GH$500.00, GH$756.00, and GH$880.00, respectively.

Step-by-step explanation:

Calculating the employee's wage based on the days worked involves a straightforward application of piecewise functions.

For A) 10 days: The wage is simply 10 days multiplied by the standard daily rate of GH$25.00.

For B) 20 days: The situation is the same as for 10 days, but with 20 days' work at the daily rate of GH$25.00.

For C) 27 days: The first 20 days are calculated at GH$25.00 per day, and the remaining 7 days are at the increased rate of GH$38.00 per day.

For D) 30 days: Similar to the 27 days calculation, but with 30 days of work, where the last 10 days are paid at GH$38.00.

Calculations:

• A) 10 days: 10 days * GH$25.00/day = GH$250.00
• B) 20 days: 20 days * GH$25.00/day = GH$500.00
• C) 27 days: (20 days * GH$25.00/day) + (7 days * GH$38.00/day) = GH$756.00
• D) 30 days: (20 days * GH$25.00/day) + (10 days * GH$38.00/day) = GH$880.00