Wells Parry
02/18/2023 · Elementary School

Set up a system of equations and then solve using inverse matrics. A manufacturer of portable tools has three sets, Basic, Homeowner, and Pro, which must be painted, assembled, and packaged for shipping. The following table gives the number of hours required for each operation for each set.

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To solve the system of equations using inverse matrices, define variables for each set produced, create a matrix for the hours required, and set up the system as \( A \cdot x = b \). Calculate the inverse of matrix \( A \) and multiply it by \( b \) to find the number of sets produced.

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