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Manufacturing Two departments of a firm, $\mathrm{A}$ and $\mathrm{B}$, need different amounts of the same products. The following table gives the amounts of the products needed by the two departments.
Steel | Plastic | Wood | |
---|---|---|---|
Department $\mathrm{A}$ | $30$ | $20$ | $10$ |
Department $\mathrm{B}$ | $20$ | $10$ | $20$ |
These three products are supplied by two suppliers, Ace and Kink, with the unit prices given in the following table.
Ace | **Kink*8 | |
---|---|---|
Steel | $300$ | $280$ |
Plastic | $150$ | $100$ |
Wood | $150$ | $200$ |
(a) Use matrix multiplication to find how much these two orders will cost at the two suppliers. The result should be a $2 \times 2$ matrix.
(b) From which supplier should each department make its purchase?
Solution
VerifiedAnswered 1 year ago
Answered 1 year ago
Step 1
1 of 3We are required to perform the process of multiplying matrices in order to determine the cost of the items at each supplier.
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