Question

In: Operations Management

JetAirways flight from Philadelphia to Boston has 350 seats. The high fare on the flight is...

JetAirways flight from Philadelphia to Boston has 350 seats. The high fare on the flight is $1000 and the restricted/low fare is $500. There is ample demand for the low fare class but high fare demand is uncertain. Demand for the high fare is normally distributed with mean 150 and standard deviation of 45. Further, the customers buy low fare tickets well in advance of high fare customers.

1. What is the expected revenue (in thousands) from high fare passengers when a booking limit of 200 is selected for the low fare tickets?

2. The JetAirways Customers’ Bill of rights states that “Customers who are involuntarily denied boarding shall receive $750 in addition to a ticket refund.” The RM department notices that the number of no-shows is normally distributed with a mean of 7.5 and standard deviation of 3. What is the maximum number of reservations in excess of plane capacity that the airline should accept?

**Please show work

Solutions

Expert Solution

Total no of seats 350
High fare 1000 $
Low fare 500 $
Demand for high fare
Mean 150
SD 45

1. Expected revenue (in thousands) of high fare customers when a booking limit of 200 is selected for low fare tickets

So we have 150 seats available for high fare customers
So expected no of passengers for high demand fare = mean = 150
So revenue = 150 X 1000 = 150,000$
So expected revenue inn 1000s is $150

2. Customers who are involuntarily denied boarding receive $750 in addition to ticket refund

No of no shows
Mean 7.5
SD 3
The extreme values for a normal distribution are expected to fall +3 and -3 SD from the mean
So maximum no of no shows can be taken as mean + 3 times SD
= 7.5 + 3X3 = 16.5

So to round off, the maximum no of reservations in excess of plane capacity that should be given are 17

Please give a thumbs up if you liked the answer


Related Solutions

Sky High Seats manufactures seats for airplanes. The company has the capacity to produce 100,000 seats...
Sky High Seats manufactures seats for airplanes. The company has the capacity to produce 100,000 seats per year, but currently produces and sells 75,000 seats per year. The following information relates to the current production of the product: Regular selling price per unit $400 Variable costs per unit: Manufacturing $220 Marketing and administrative $50 Total fixed costs: Manufacturing $1,500,000 Marketing and administrative $1,000,000 If a special sales order is accepted for 7,000 seats at a price of $350 per unit,...
1. Suppose instead that a flight has 58 seats and the likelihood of a person not...
1. Suppose instead that a flight has 58 seats and the likelihood of a person not showing up is 9%. The airline sells 62 tickets. a) What is the likelihood the flight is overbooked? b) In order to do this problem using the binomial random variable we have to assume that people are acting ________________ from one another. Is this realistic? Why or why not?
is flying from Boston to Denver with a connection in Chicago. The probability her first flight...
is flying from Boston to Denver with a connection in Chicago. The probability her first flight leaves on time is 0.250.25. If the flight is on time, the probability that her luggage will make the connecting flight is 0.80.8, but if the flight is delayed, the probability that the luggage will make it is only 0.550.55. Complete parts a) and b). a) Are the flight leaving on time and the luggage making it to Denver with her independent events? b)...
5. A flight from New York to Atlanta has 146 seats. Advance tickets purchased cost $74....
5. A flight from New York to Atlanta has 146 seats. Advance tickets purchased cost $74. Last-minute tickets cost $114. Demand for full-fare tickets is normally distributed with a mean of 92 and standard deviation of 30. What booking limit maximizes expected revenues? Assume there are no no-shows and always enough advanced purchasers to fill the flight.
An airline always overbooks if possible. A particular plane has 100 seats on a flight in...
An airline always overbooks if possible. A particular plane has 100 seats on a flight in which a ticket sells for $325. The airline sells 105 such tickets for the flight. (a) If the probability of an individual not showing up is 0.065, assuming independence, what is the probability that the airline can accommodate all the passengers who do show up? Show your work. (b) If the airline must return the $325 ticket price plus a penalty of $410 to...
4. An airline sells 338 tickets for a flight to Manila which has 335 seats. It...
4. An airline sells 338 tickets for a flight to Manila which has 335 seats. It is estimated that 98% of all ticketed passengers show up for the flight. Find the probability that the flight will depart with (at least one) empty seats? (10)
Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel...
Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel Agency charges $316/person. However, if more than 180 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 180. Show that the revenue function R is given by R(x)...
Most airlines deliberately double-book a certain number of seats on each flight, to minimize losses from...
Most airlines deliberately double-book a certain number of seats on each flight, to minimize losses from empty seats when some passengers fail to turn up. This raises the problem of how to decide who gets left behind when all the passengers turn up. Over the years a variety of methods have been used, including the following: i) First-come, first-served ii) Discretion of the check-in clerk iii) A free-for-all where passengers jostle each other for seats iv) Airline buy-back where a...
A small regional carrier accepted 13 reservations for a particular flight with 11 seats. 9 reservations...
A small regional carrier accepted 13 reservations for a particular flight with 11 seats. 9 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 58% chance, independently of each other. Find the probability that overbooking occurs.    Find the probability that the flight has empty seats.   
A small regional carrier accepted 16 reservations for a particular flight with 12 seats. 8 reservations...
A small regional carrier accepted 16 reservations for a particular flight with 12 seats. 8 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 44% chance, independently of each other. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs.     Find the probability that the flight has empty seats
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT