$\"\"$

In the month of January, the city location sold $\"\"$ subcompacts, $\"\"$ intermediate size cars, and $\"\"$ .

In the month of January, the suburban location sold $\"\"$ subcompacts, $\"\"$ intermediate size cars, and $\"\"$ .

In the month of February, the city location sold $\"\"$ subcompacts, $\"\"$ intermediate size cars, and $\"\"$ .

In the month of February, the suburban location sold $\"\"$ subcompacts, $\"\"$ intermediate size cars, and $\"\"$ .

(a) Find $\"\"$ by $\"\"$ matrices that summarize the sales data for each location for January and February.

The rows of the $\"\"$ matrix represent the location.

The Columns represent the type of car sold.

The $\"\"$ matrix for January is $\"\"$ .

The $\"\"$ matrix for February is $\"\"$ .

$\"\"$

(b) Use matrix addition to obtain total sales for the $\"\"$ -months period.

Add the two matrices $\"\"$ and $\"\"$ .

$\"\"$

$\"\"$ .

Therefore, the total sales for the $\"\"$ -months period is $\"\"$ .

$\"\"$

(c) Find the $\"\"$ martix representing the profit.

The profit on each kind of car is $\"\"$ per subcompact, $\"\"$ per intermediate and $\"\"$ per SUV.

The $\"\"$ martix repesenting the profit is $\"\"$ . $\"\"$

(d) Multiply the matrices found in parts $\"\"$ and $\"\"$ .

The two matrices are $\"\"$ and $\"\"$ .

Multiplication of the two matrices is $\"\"$ .

$\"\"$

$\"\"$ .

Therefore, the city location has a toe month profit of $\"\"$ and the suburban location has a two month profit of $\"\"$ .

$\"\"$

(a) The $\"\"$ matrix for January is $\"\"$ .

The $\"\"$ matrix for February is $\"\"$ .

(b) The total sales for the $\"\"$ -months period is $\"\"$ .

(c) The $\"\"$ martix representing the profit is $\"\"$ .

(d) The city location has a toe month profit of $\"\"$ and the suburban location has a two month profit of $\"\"$ .