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  • Perplex
    IB Math AIHL
    /
    Matrices
    /

    Problem Bank

    [Maximum mark: 5]

    The matrix below shows the selling price (in USD) of three snack packs ​S1​,S2​​ and ​S3​​ at two vending machines ​A​ and ​B.

    ​
    S1​​S2​​S3​​
    ​
    ​
    AB​(1.201.30​1.751.60​2.001.90​)
    ​

    A student club places an order of ​50​ of ​S1​, ​80​ of ​S2​, and ​40​ of ​S3​.

    1. Write down a matrix equation for the total revenue vector ​R​ ​(2×1)​ from each machine.

      [2]
    2. Hence calculate the total revenue from vending‑machine ​A​ and from vending‑machine ​B.

      [3]

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