Q33. - Algebra 2

Question

For Exercises 31-34, use the table and the following information.

 Carmen Fox owns three fruit farms on which he grows apples, peaches, and apricots. He sells apples for 22 a case, peaches for 25 a case, and apricots for  a case.18

Find the total income of the three fruits farms expressed as a matrix

Step-by-Step Solution

Answer

The matrix related to the of money from each type of provided fruits is .$CI=\left[\begin{array}{ccc}12735& 10980& 9370\end{array}\right]$

Step 1- Determine the method that can be used

The matrix related to the product of matrix for cost and matrix for inventory will be the required matrix.

Step 2 – Make the required matrix

Perform multiplication between the matrix $C=\left[\begin{array}{ccc}22& 25& 18\end{array}\right]$ and $I=\left[\begin{array}{ccc}290& 165& 210\\ 175& 240& 190\\ 110& 75& 0\end{array}\right]$

$CI=\left[\begin{array}{ccc}12735& 10980& 9370\end{array}\right]$

Step 3- Make the conclusion

The columns of the matrix $CI=\left[\begin{array}{ccc}12735& 10980& 9370\end{array}\right]$ represents the generation of money from each type of provided fruits