variable inequality

variable inequality

Two-Variable Inequality

Read the following instructions in order to complete this assignment, and review the example of how to complete the math required for this assignment:

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 to three 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?

 

Instructor example

2-Variable Inequality
Here is an example of a problem very similar to the one in the Week Three Assignment:
Catskills Hammock Company can obtain at most 2000 yards of striped canvas for making its full size and chair size hammocks. A full size hammock requires 10 yards of canvas and the chair size requires 5 yards of canvas. Write an inequality that limits the number of striped hammocks of each type which can be made.
(b) First I must define what variables I will be using in my inequality. Let f = the number of full size hammocks
Let c = the number of chair size hammocks
Since each full size hammock requires 10 yards of canvas I will use 10f, and since each chair hammock requires 5 yards of canvas I will use 5c. The total amount of canvas which can be used is limited to 2000 yards because that is all they can get. Together my inequality will look like this:
10f + 5c = 2000
(d) If we call f the independent variable (on the horizontal axis) and c the dependent variable (on the vertical axis) then we can graph the equation using the intercepts.
The f-intercept is found when c =SUPPLEMENTAL APPLICATION REQUIREMENTS – Personal Data Outline
Personal Data Outline: This should be completed in lieu of the statement of purpose. Please provide this data in a narrative form, single-spaced, not to exceed 4 pages total.

A. Professional Overview: What are your goals in this field? Other than studying at NYU, outline at least three steps you plan to take to reach those goals. Why do you wish to study in this field at the graduate level?

B. Self-Appraisal: What major assets do you present to support your selection for training in this program? What are your present weaknesses and limitations? In what ways do you think New York University may help you? What other steps have you taken or do you plan to take to improve yourself academically, vocationally, personally, or otherwise?

C. Research Ideas: Cite several current business topics related to the present state of any sector(s) of the music industry. Select one topic and suggest how you would research it on the graduate level. 0: 10f = 2000
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