Question

An airline offers tickets on 3 routes from Atlanta: Chicago for $150, Boston for $160, and Dallas for $180, represented by the matrix 150 160 180 . We can find the cost of four of each of the tickets by multiplying this matrix by one of the matrices below. Find it.

Answer 1

Problem says that an airline offers tickets on 3 routes from Atlanta:

First route): Chicago for $150,

Second route): Boston for $160,

Third route): Dallas for $180

Which is represented by the matrix [150 160 180].

Now we need to find matrix that can be used to find the cost of four of each of the tickets by multiplying this matrix by one of the matrices below.

You haven't provided any matrix in the option yet but we can still find the answer.

cost matrix [150 160 180] has 1 row and 3 column.

Then product of matrix will be possible only if the other matrix has same number of rows as number columns in first matrix.

Means required matrix must have 3 rows.

we have to buy 4 tickets for each route.

so required matrix will be a 3x1 matrix having each element 4.

So the final answer is :

`\left[\begin{array}{ccc}4\\4\\4\end{array}\right]`

Caluclation for final cost is given by:

`\left[\begin{array}{ccc}150&160&180\end{array}\right]`*
`\left[\begin{array}{ccc}4\\4\\4\end{array}\right]` =150*4+160*4+180*4=1960

So the total cost for 4 tickets for each route= $1960