Production and material matrices

Production and material matrices

Secondary 4
4 marks
TGM Original Questions

A workshop makes desks and stools. In \(M=\begin{pmatrix}6&10\\ 8&5\end{pmatrix}\), rows represent Monday and Tuesday, and columns represent desks and stools. In \(N=\begin{pmatrix}4&6\\ 3&4\end{pmatrix}\), rows represent desks and stools, and columns give the numbers of wooden panels and brackets needed for one item.

  1. Calculate \(MN\).[2]
  2. On which day were more brackets needed, and how many more were needed? Identify the entries you use.[2]

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Answer:(a) \(\begin{pmatrix}54&76\\ 47&68\end{pmatrix}\) (b) Monday, 8 more brackets

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