# A drug production company has three branches A, B, and C, each of which produces two types of medicine daily. If the first branch produces 100 boxes o

A drug production company has three branches A, B, and C, each of which produces two types of medicine daily. If the first branch produces 100 boxes of the first type, 400 boxes of the second type, and the branch B produces 200 boxes of the first type, 300 boxes of the type The second and branch C produce 150 boxes of the first type, 250 boxes of the second type.
A) Systems the data in a matrix in two ways
B) Are the two matrices equal? Why?
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Nathanael Webber
Step 1
a) Choose the rows to represent the branches and columns to represent the types of boxes.
Step 2
$\left[\begin{array}{cc}100& 400\\ 200& 300\\ 150& 250\end{array}\right]$
Step 3
Choose the rows to represent the the types of boxes and columns to represent the branches.
$\left[\begin{array}{ccc}100& 200& 150\\ 400& 300& 250\end{array}\right]$
Step 4
b) Two matrices have different order so they can never be equal.
Step 5
Conclusion:
a)$\left[\begin{array}{cc}100& 400\\ 200& 300\\ 150& 250\end{array}\right]$ and $\left[\begin{array}{ccc}100& 200& 150\\ 400& 300& 250\end{array}\right]$
b)Two matrices have different order so they can never be equal.
Jeffrey Jordon