Comparing supplier costs

Comparing supplier costs

Secondary 3
5 marks
TGM Original Questions

Two classes order exercise books and folders. Their quantity matrix is \(Q=\begin{pmatrix}20&12\\ 15&18\end{pmatrix}\), with rows Class A, Class B and columns books, folders. The unit-price matrix, in dollars, is \(P=\begin{pmatrix}2&2.2\\ 1.5&1.2\end{pmatrix}\), with rows books, folders and columns Supplier X, Supplier Y. There are no other charges.

  1. Calculate \(QP\).[3]
  2. Which supplier is cheaper for each class, and by how much?[2]

Solution:

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Answer:(a) \(\begin{pmatrix}58&58.4\\ 57&54.6\end{pmatrix}\) (b) Class A: X by \(\$0.40\); Class B: Y by \(\$2.40\).

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