A Factory Records Its Inventory in Matrix X

question 24

Essay

A factory records its inventory in matrix X , where column 1 represents Model A of a product, column 2 represents Model B of the same product, and each row represents a color of the product. Matrix M is the price of Model A (row 1) and Model B (row 2). Compute matrix XM and give its physical interpretation.
$X=\left[\begin{array}{rr}25 & 10 \\30 & 50 \\15 & 40 \\10 & 5\end{array}\right] \text { and } M=\left[\begin{array}{c}220 \\250\end{array}\right]$

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Definitions:

Administrative Agencies

Governmental bodies with the authority to implement and administer particular legislation, often involved in regulating certain areas of activity.

Government Bodies

Organizations or agencies established by a government to carry out specific functions or provide services.

Genuine Controversy

A real and substantial dispute or disagreement, requiring judicial intervention to determine the outcome.

Passive Institutions

Organizations or entities that do not take an active role in initiating actions or decisions but rather respond to actions initiated by others.