Two-variable inequality | Mathematics homework help

TWO-VARIABLE INEQUALITY

Solve 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 (Dugopolski, 2012, p.240)

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    • 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 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, do the following:
    • Demonstrate your solution to the above problem, making sure to include all mathematical work.
    • Describe 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.
    • Evaluate the findings in this graph. 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.
    • Apply the linear inequality to solve the following problem: 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? Explain your answers.
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