Question $3(5$ marks$)$Lisa is about to start her first year of university and is deciding whether to take the bus to school or to drive to school with her car. Parking at the school is $$10\mathrm{.}00$ per day $($$$200$ per month$).$ Her monthly insurance cost is $$120$ and monthly maintenance is $$40.$ To ensure her car is functioning at its maximum capacity, Lisa spends the same amount on maintenance each month regardless of kilometers driven. She also expects that she will pay an additional $$75$ in gas if she were to drive her car to school. There are a few different options to buy bus tickets as follows: individual rides are $$5\mathrm{.}00($one$-$way$),$ a round trip option per day is $$8\mathrm{.}00$ or a monthly bus pass would cost $$120.$ Lisa has decided she'll either take the bus for the full month or drive for a full month.Required:$$a$.$ Determine the cost of driving to school vs$.$ taking the bus on a monthly basis.$$b$.$ Should Lisa take the bus or drive her car to school based on quantitative analysis alone.