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 80 90 180 70 80 200 60 70 220 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.

Answer 1

The question concerns calculating the product of two matrices, but there is missing information so the matrix multiplication cannot be completed. Matrix multiplication generally involves taking the dot product of rows and columns across the matrices involved.

Step-by-step explanation:

The question relates to the computation of matrix products within the context of business operations, specifically an airline's seat allocation, fare pricing, and the number of flights. However, none of the provided prompts directly address or provide the sufficient data to compute matrix AB as originally asked by the student. To compute the product of two matrices, AB, each element of the resulting matrix is obtained by taking the dot product of the corresponding row from matrix A and the corresponding column from matrix B.

Without the exact matrices A and B being properly formatted in the question, we cannot proceed with the calculation. Nonetheless, the general process for multiplying matrices involves multiplying each element of a row in the first matrix by the corresponding element of a column in the second matrix and then adding the products. This is done for each combination of rows and columns across the matrices.