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Two Variable Inequalities
This week we are challenged to complete 3 steps for the problem 46 located on 240 of our textbook. The steps to completing this assignment are as follows: Assign a variable to each type of rocker that the Ozark Furniture Company makes, write a linear inequality which incorporates the given information of the total board feet and feet required for each type of rocker they make, and draw a graph on paper of the inequality to aid in the writing of the paper.
Problem number 46 on page 240 of Elementary and Intermediate Algebra is as follows:
“The 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 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”(Dugopolski,2012). c=classic maple rocker m= modern maple rocker
The classic maple rocker, or c, requires 15 board feet of maple so I will use 15c to illustrate. The modern maple rocker, or m, requires 12 board feet of maple so I will illustrate with 12m. The total number of lumber required or obtained to complete both of the modern and classic rockers totals 3000 board feet of maple.
The inequality shown:
15c+12m≤3000
In order to graph the equation I will use the following intercepts. The horizontal intercept I will incorporate the variable independent c (representing classic maple rocker,) and for the vertical intercept I will use dependent variable m (representing the modern classic maple rocker.) Next I will find the intercepts for 15c+12m≤3000.
15 (0) +12m=3000
15c+12(0)=3000
12m=3000 15c=3000 m=250 (0,250) c=200 (200,0)
Now I’ve found the c and m intercept we can begin to graph. The company can

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