Solve the problem.
A company manufactures three types of wooden chairs at two different locations. In one week, the main location produces 18 Kitui chairs, 12 Goa chairs, and 6 Santa Fe chairs while the secondary location produces 10 Kitui chairs, 3 Goa chairs, and 5 Santa Fe chairs.
(a) Find a 2 by 3 matrix representing the above data.
(b) If each Kitui chair requires 25 board-feet of wood, a Goa chair requires 29 board-feet of wood, and a Santa Fe requires 30 board-feet of wood, find a 3 by 1 matrix representing the amount of material.
(c) Multiply the 2 by 3 matrix found in part a and the 3 by 1 matrix found in part b to get a 2 by 1 matrix showing the week's usage of material at both locations.
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