The Hourly Parking Garage at BWI International Airport in Baltimore costs $2 per half hour during the first hour and $4 for each hour or part of an hour for more than 1 hour and up to 5 hours. If C = C(t) is the total charge for t hours in BWI’s Hourly Parking Garage, write a piecewise function that describes C(t) for t < 3. Use C(t) to find the following limits, if they exist.

(a) lim_t→0.5- C(t)

(b) lim_t→0.5+ C(t)

(c) lim_t→0.5 C(t)

(d) lim_t→2.5 C(t)