A restaurant employees $40$ people. Each employee is scheduled to work $150$ hours per month and is paid $$15$ per hour. The restaurant is busy and each employee can work up to an additional $20\%$ of the regular schedule on overtime. Overtime is compensated at $1\mathrm{.}5$ times the regular wage rate. If all employees worked all regular and all overtime hours in a month, how much would the labour cost be for the month?

Multiple Choice

$$90,000$

$$105,000$

$$112,000$

$$117,000$