Question

In: Advanced Math

I just need to understand Question 1 and 2. I just wanted to make sure I...

I just need to understand Question 1 and 2. I just wanted to make sure I did the revenue management right.

Freedom Airlines recently started operations in the Southwest. The airline owns two airplanes, one based in Phoenix and the other in Denver. Each airplane has a coach section with 140 seats available. Each afternoon, the Phoenix based airplane flies to San Francisco with stopovers in Las Vegas and in San Diego. The Denver-based airplane also flies to San Francisco with stopovers in Las Vegas and in San Diego. Each airplane returns to its home-base with no stopovers.

Freedom Airlines uses two coach-fare classes: A discount fare (A) and a full fare (B). Discount fares are available with a 21-day advance purchase. Full fares applied at any time, up to the time of the flight.

Below is the daily fare and demand data for 16 selected Freedom Airline itineraries. Itineraries 1 through 6 apply to the Phoenix based airplane (leg 1); itineraries 7 through 12 apply to the Denver based airplane (leg 2); itineraries 13 and 14 apply to the Phoenix based airplane (leg 3); itineraries 15 and 16 apply to the Denver based airplane (leg 4):

1

Phoenix

Las Vegas

A

$ 180.00

50

2

Phoenix

San Diego

A

$ 270.00

40

3

Phoenix

San Francisco

A

$ 230.00

35

4

Phoenix

Las Vegas

B

$ 380.00

15

5

Phoenix

San Diego

B

$ 460.00

10

6

Phoenix

San Francisco

B

$ 560.00

15

7

Denver

Las Vegas

A

$ 200.00

50

8

Denver

San Diego

A

$ 250.00

45

9

Denver

San Francisco

A

$ 350.00

40

10

Denver

Las Vegas

B

$ 385.00

15

11

Denver

San Diego

B

$ 445.00

10

12

Denver

San Francisco

B

$ 580.00

10

13

San Francisco

Phoenix

A

$ 250.00

70

14

San Francisco

Phoenix

B

$ 600.00

10

15

San Francisco

Denver

A

$ 325.00

50

16

San Francisco

Denver

B

$ 585.00

10

  1. Develop a revenue management (maximizing) model based on the information given in the scenario.
  2. How many seats should be allocated to each of the 16 itineraries to maximize revenue?

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