Jim Johnson Operates a Bus Service to Take College Students

question 38

Essay

Jim Johnson operates a bus service to take college students to "The Big City" on Friday night and bring them back to school on Sunday night. The bus has 45 seats but sometimes there are empty seats. His records show that about 5% of ticket holders do not show up for their ride. Tickets cost $20 and are non-refundable. If Jim overbooks the bus and more than 45 passengers show up, some of them will be bumped and have to miss the trip. This bumping costs the company $40 because Jim has a double-your-money back policy for bumped passengers. Jim wants to see what happens to profits if 48 reservations are accepted.
$\begin{array}{|c|c|l|c|}\hline & \text { A } & {\text { B }} & \text { C } \\\hline 1 & &{\text { Jim's Big City Bus }} & \\\hline 2 & & \text { Reservation System } & \\\hline 3 & & & \\\hline 4 & & \text { Seats Available } & 45 \\\hline 5 & & \text { Ticket Price per Seat } & \$ 20 \\\hline 6 & & \text { Prob. of No-Show } & 0.05 \\\hline 7 & & \text { Cost of Bumping } & \$ 40 \\\hline 8 & & \text { Reservations Accepted } & 48 \\\hline 9 & & & \\\hline 10 & & \text { Passengers to Board } & 47 \\\hline 11 & & & \\\hline 12 & & \text { Ticket Revenue } & \$ 960 \\\hline 13 & & \text { Opp. Cost of Empty Seats } & 0 \\\hline 14 & & \text { Cost of Bumping Passengers } & \$ 80 \\\hline 15 & & \text { Marginal Profit } & \$ 880 \\\hline\end{array}$
What formulas should go in cell C10  C15 of the worksheet?

---

Definitions:

Proportional Controller

A type of feedback control system that outputs a control signal proportional to the error signal, which is the difference between the desired and actual system states.

Process Deviation

Process Deviation refers to the difference between the measured process variable and its desired setpoint, indicating the need for corrective action by the control system.

Offset

An offset refers to a deviation or displacement from a reference point or value, commonly used in contexts ranging from programming (memory addresses) to mechanical systems (alignment).

Network Node

An individual electronic device in a network that can send, receive, or forward information.