Two Variable Inequality

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Two Variable Inequality 8/24/14 Two-Variable Inequality “Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple requires 15 board feet of maple, and a modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made a graph the inequality in the first quadrant (Dugopolski, 2012, p. 46.) The solution of the assignment is to determine the inequality of the following solution of representing “x” for the 15 classic board feet of maple and “y” for the modern rocker which requires 12 board feet of maple. “The solution of a linear inequality in two variables like Ax+By< C is an ordered pair (x,y) that produces a true statement when the values of x and y are substituted into the inequality”.(www.mathplanet.com). For this solution I will discuss the linear inequality of the word problem previously mentioned above. I will discuss and determine the impossible number of rockers and from there we will know what lies in the region and gain an understanding of the safe region to solve the linear inequality. The text states, “Ozark Furniture Company can obtain at most 3,000 board of maple lumber for making its classic and modern maple rocking chairs. A maple classic rocker requires 15 board feet of maple, and a maple modern rocker requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can me be made, and graph the inequality in the first quadrant” (Dugopolski, 2012, p. 46.). The classic chair requires 15 feet of maple wood so I will use “15x” as the first term of the inequality. The modern rocker requires 12 feet of maple wood, so the term used will be “12y”. The company is able to use 3,000 feet of board to design chairs,

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