Pacific Airlines operates three flights between Los Angeles and Hong Kong. Matrix A gives the number of seats in each of three cabin classes on each flight. First class Premium economy Economy Flight I 50 90 180 40 50 220 30 40 260 A = Flight II Flight III The fares per passenger (in dollars) for each class of seats are given by matrix B: First class 6000 3500 1500. B = Premium economy Economy The number of each type of flight operated by Pacific Airlines in June is given by matrix C: Flight I II III C = 8 6 6 . (a) Compute AB. AB = Explain what it represents. AB represents the total number of seats in first class.AB represents the total number of seats on flight I. AB represents the total revenue for first class seats on all flights.AB represents the total revenue for all seats for the three flights.AB represents the total revenue for Pacific Airlines in June. (b) Compute CAB. CAB =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Pacific Airlines operates three flights between Los Angeles and Hong Kong. Matrix A gives the number of seats in each of three cabin classes on each flight.

First
class

Premium
economy

Economy

Flight I

180

220

260

A =

Flight II

Flight III

The fares per passenger (in dollars) for each class of seats are given by matrix B:

First class

6000

3500

1500

B =

Premium economy

Economy

The number of each type of flight operated by Pacific Airlines in June is given by matrix C:

Flight

III

C =

(a) Compute AB.

AB =

Explain what it represents.

AB represents the total number of seats in first class.AB represents the total number of seats on flight I. AB represents the total revenue for first class seats on all flights.AB represents the total revenue for all seats for the three flights.AB represents the total revenue for Pacific Airlines in June.

(b) Compute CAB.

CAB =