one-half average method means there is bonus which is equivalent to over time * half of average hourly rate.
Let us calculate earnings using normal method first.
We are given that 14$ paid for first 40 hours and $11.8 for next 7 hours.
So, net pay would be 14*40+11.8*7 = $642.6
Now we need to find bonus pay using one-half rate method.
That bonus = over time * half of the average hourly rate
Average hourly rate = income earned/total number of hours
=[tex]\frac{642.6}{47} = $13.67[/tex]
Hence bonus = 7*[tex]\frac{13.67}{2}[/tex]= $47.85
Gross pay using one-half average method= net pay + bonus
=642.6+47.85
= 690.45$