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Essay Available:
Pages:
2 pages/≈550 words
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Style:
APA
Subject:
Mathematics & Economics
Type:
Coursework
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 10.37
Topic:

Two-Variable Inequality

Coursework Instructions:
Read problem:Maple rockers. 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. 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. 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. Write a two page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, please make sure to include: Your solution to the above problem, making sure to include all mathematical work. A discussion on what this graph looks like. Include information about the intercepts, the type of line needed, direction of the line, and region(s) shaded to fulfill the inequality. Any details which are pertinent to know about the graph should be mentioned. An application of the findings in this graph. For example, pick a point in the shaded area and give its coordinates, and then discuss what those numbers mean in terms of rockers and board feet of lumber. Pick a point outside of the shaded area and do the same thing. Pick a point right on the line and discuss the same details. Be specific. An evaluation of the following: A chain furniture store faxes an order for 175 modern rocking chairs and 125 classic rocking chairs. Will Ozark Furniture be able to fill this order with the current lumber on hand? If yes, how much lumber will they have left? If no, how much more lumber would they need to fill the order?
Coursework Sample Content Preview:
Maple rockers. 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. Solution: Let x be the number of classic maple rocker, and y be the number of modern maple rocker. Since Ozark Furniture Company can obtain at most 3000 board feet of maple lumber, and a classic maple rocker requires 15 board feet and a modern rocker requires 12 board feet, then we obtain the following inequality 15x+12y≤3000that limits the possible number of maple rockers of each type. Figure 1. Graph of 15x+12y≤3000 in Quadrant I First note that we just considered the graph of the given inequality on the first quadrant because the quantities involve in the problem are nonnegative (positive or zero). The y-intercept is (0, 250). This point gives us the information that Ozark Furniture Company can produce 250 modern rockers and 0 classic rockersusing the available maple lumber. On the other hand, the x-intercept is given by the point (200, 0), this means that the company can produce 200 classic rockers and 0 modern rocker using the available maple lumber. The line 15x+12y=3000 is negati...
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