Northampton City Tours $($NCT$)$ offers personalized historical and architectural tours in a large midwestern city and the local suburbs.

NCT charges $$360\mathrm{.}00$ per trip to or from the alrport. The varlable cost for a tour totals $$47\mathrm{.}00,$ for fuel, driver, and so on$.$ The monthly

fixed cost for NCT is $$14,085.$

Required:

a$.$ How many tours must NCT sell every month to break even?

b$.$ NCT$\text{'}$s owners believe that $50$ tours is a reasonable forecast of the average monthly demand. What is the margin of safety in terms

of the number of tours?

Note: Round your answer to the nearest whole number.