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Jim Johnson Operates a Bus Service to Take College Students

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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 plans to accept 48 reservations overbook 3 seats).
A B C1 Jim’s Big City Bus 2 Reservation System 34 SeatsAvailable 455 Ticket Price per Seat $206 Prob. of No-Show 0.057 Cost of Bumping $408 Reservations Accepted 48910 P assengers to Board 471112 Ticket Revenue $96013 Opp. Cost of Empty Seats 014 Cost of Bumping Passengers $8015 Marginal Profit $880 MODEL \begin{array}{|c|c|c|c|}\hline & \mathrm{A} & \text { B } & \mathrm{C} \\\hline 1 & & \text { Jim's Big City Bus } & \\\hline 2 & & \text { Reservation System } & \\\hline 3 & & & \\\hline 4 & & \text { SeatsAvailable } & 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 { P assengers 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 & & \text { MODEL } & \\\hline\end{array}

What is Jim Johnson's expected marginal profit?

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Definitions:

Decimal Point

A symbol used in numerical values to separate the integer part from the fractional part.

Single-precision

A format for representing floating-point numbers that uses 32 bits, providing a certain degree of accuracy.

Float

A data type in programming used to represent real numbers that have a fractional part.

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