Mat: Introduction to Algebra
Ozark Furniture Inequality For this assignment we are use two rockers that Ozark Furniture makes and assign variable to them then and then write a linear inequality for them. The linear inequality I will be solving is: a store faxes an order of 175 modern rocking chair and 125 classic rocking chair to Ozark Furniture and so will they be able to fill it. I will demonstrate my solution and include the mathematical work to solve it. I am going to use a graph, which I will not be able to attach to my document, but will show you how to use them and the findings. Inequality has been hard for me to understand but I hope for this assignment I will be able to grasp it. 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 rocker requires 15 board feet of maple and modern rockers requires 12 board feet of maple. Write an inequality that limits the possible number of maple rockers of each type that can be made, and graph the inequality in the first quadrant. The variable that I am going to use for this assignment is c = Classic Maple Rocker, m=
Modern Maple Rocker. From the statement above we see that the classic rocker requires 15 feet and the modern rocker is 12 feet. So I will use 15c and 12m. The total amount of feet they can get is 3000. So the inequality for this assignment will be: 15c + 12m < 3000. I will make c the independent variable, this will lie on the horizontal axis. That would make m the dependent variable which would lie on the vertical axis. Then I would be able to graph the equation using the intercepts. c – intercepts when m = 0 15 c < 3000 c < 200 so the intercept will be (200, 0) m- intercepts when c