The Burr Cabinet Company manufactures bookcases and filing cabinets at two plants, A and B. Matrix M gives the production of bookcases and files (first row and second row, respectively) for the two plants A (first column) and B (second column) during April, and matrix N gives the production for May. [150 80 N = [100 60 M = l280 300 l200 400. a) Write the matrix that represents total production at the two plants for the 2 months; b) If the company sells its bookcases to wholesalers for $100 and its filing cabinets for $120, for which month was the value of production higher: (1) at plant A? (ii) at plant B?

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.