During the year, on the average the carpenters work $50$ hours per week for

$40$ weeks and $40$ hours per week for $10$ weeks. They are paid time$-$and$-$a$-$half

for any hours over $40$ hours per week and receive $10$ days off per year in the

form of vacation, sick leave, and holidays. The employee's health insurance is

paid for entirely by the employer. Determine the average hourly cost for the

carpenters given the following information $(30$ points$)$: