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Linear AlgebraMediumMatrices & Systems

Matrices & Systems · Medium problem

A workshop uses A=(1235)A = \begin{pmatrix}1 & 2\\3 & 5\end{pmatrix} raw-material units per batch of two products. It has two upcoming weekly demand targets: week 11 needs outputs (411)\begin{pmatrix}4\\11\end{pmatrix} and week 22 needs outputs (12)\begin{pmatrix}1\\2\end{pmatrix} (in the same two raw materials). Adding up the batch counts for BOTH products over BOTH weeks, how many batches in total does the workshop need to run?