# Mat221 Week 3 Assignment

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Two-Variable Inequality Cynthia Hobbs Mat221 Introduction to Algebra Instructor: Andrea Schoohs September 29, 2013 Two-Variable Inequality This week we are asked to complete 3 steps for problem 46 on page 240 of Elementary and Intermediate Algebra. Steps to completing the assignment are, Assign a variable to each type of rocker Ozark Furniture makes, write a linear inequality which incorporates the given information of total board feet and the board feet required for each type of rocker, and on scratch paper, draw a graph of the inequality so that you have this visual to go by as you discuss the graph in your writing. A scanned copy of this graph may be attached with your essay, but is not required. Problem 46 on page 240 of Elementary and Intermediate Algebra states: 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 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, and graph the inequality in the first quadrant. c = Classic maple rocker m = Modern maple rocker With a classic maple rocker requiring 15 board feet of maple I will use 15c, and a modern maple rocker requiring 12 board feet of maple I will use 12m. The total amount of lumbar obtained to complete both rocker is 3000 board feet of maple. My inequality is as follows: 15c + 12m ≤3000 To graph the equation I will use the following intercepts. For the horizontal axis I will use the independent variable c and for the vertical axis I will use the dependent variable m. I now need to find the intercepts for 15c+12m=3000 15 (0) +12m=3000 15c+12(0)=3000 12m=3000 15c=3000 12m=3000 15c=3000 12 12 15 15 m=250 (0, 250) c=200 (200, 0) On