Listed below are three examples of rational functions used to model particular situations. While the applications are not related, you will discover that the functions all exhibit a similar behavior.

In many situations, a model is approximate. In the first two examples below, the functions were derived empirically, meaning they were determined by considering the actual, real-world results of a similar activity in the past. The model approximates what would happen in a future, similar situation.

Other models, like the third example below, may be exact relations determined by known, fixed material and labor costs. That is, for physically meaningful values of n – you cannot make a negative number of DVDs or an infinite number of DVDs – the output C(n) is exact.

Also, a model is often limited in its applicability. You will see this in all three of these examples, and the implications of these limitations will be a part of the resulting discussion.

In the following examples, each function has a denominator, making them all rational functions, and so the denominator becoming zero has to be avoided because dividing by zero is undefined, or not allowed.

1. The cost C(x), in thousands of dollars, to remove x percent of a particular toxic pollutant from a certain river is modeled by:
2. The cost C(x), in thousands of dollars, to inoculate x percent of the population of a large city against a strain of the flu is modeled by the rational function:
3. The cost C(n), in dollars per dvd, for a particular company to manufacture n copies of a certain DVD is given by:
4. Note: It is standard to use n as the independent variable name when the variable must be an integer.

Assignment, please do the following:

For your initial post, please do the following:

1. Choose one of the rational functions in the examples given above.
2. Select eight values of the independent variable for your chosen function, and then compute the corresponding output of the function. Show your calculations. 

• For examples 1 and 2, use this random number generator (Links to an external site.)Links to an external site. to select your x-values. This will assure you’ve chosen a variety of values so your calculations will give you an idea of the range of the function. Make sure to specify Generate 8 random integers with a value between 1 and 100. 
• For example 3, the random number generator is less useful. Just be sure to include some large numbers. 

1. For your chosen rational function, plot the eight data points you computed in (2) and then plot the entire function so that the graph passes through the points you plotted. This will require that you specify the window of your graph.

• For examples 1 and 2, the specified window of your graph should include all the possible values of the independent variable x. You will not be able to include all y values (you will see why), but specify the range of the y-axis so that you can see what happens when x is close to 100.
• For example 3, you cannot include all possible values of the independent variable x. But extend the x-axis out far enough to see what happens as x gets increasingly large.

1. In your post:

a.                  Show your calculations from part (2).

b.                 Describe what the graph tells you about your corresponding example problem.

c.                  Finally, insert the image of your graph (see instructions above).

http://www.desmos.com/calculator

 

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This is Accounting 211, thank you for helping me for 25 points.

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Listed here are the total costs associated with the 2017 production of 1 , 000 drum sets manufactured by True Beat . Thedrum sets sell for $521 each .Costs1 . Plastic For casing – $20 , 0002 . Wages Of assembly workers – $88 , 0003 . Property taxes on factory – $7 , 0004 . Accounting staff salaries – $ 38 , 0005 . Drum stands ( 1 , 000 stands purchased ) – $42 , 0006 . Rent cost of equipment for sales staff – $36 , 0007 . Upper management salaries – $190 , 0008 . Annual Flat Fee For Factory maintenance service – $ 15 , 0009 . Sales commissions – $ 16 per unit*10 . Machinery depreciation , straight – Line – $ 35 , 000Required :"1 . Classify each cost and its amount as ( a ) either variable or fixed and ( b ) either product or period . ( The first cost is completed as anexample. )Cost by BehaviorCost by FunctionCostsVariableFixedProductPeriod1 .Plastic for casing$20, 00020, 0002 .Wages of assembly workers3 .Property taxes on factory4 .Accounting staff salaries5 .Drum stands6 .Rent cost of equipment for sales staff7 .Upper management salariesAnnual flat fee for factory maintenance service9 .Sales commissions10 .| Machinery depreciation , straight-line*

 

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Listen to 30 minutes of an NPR news broadcast (Morning Edition or All Things Considered) and compare to a 30-minute news broadcast on a commercial radio network (ABC, CNN, Fox News, etc.) OR watch 30 minutes of the News Hour on PBS and compare to a 30-minute newscast on a broadcast network, CNN, MSNBC, or Fox News.  Make sure you are comparing news casts on the SAME DAY.

1. What was the lead story on each newscast?  What similarities and differences did you notice? (Make sure you indicate the title of the two news programs you compared)

2.  What is your overall impression of the way the news is presented on each network?  How do you explain the differences?

3.  What is a current  popular TV show that you watch on broadcast or cable TV?

4.  Discuss the show’s ratings last week for Adults 18-49 and total viewers (use https://tvbythenumbers.zap2it.com/  to find ratings information.  Look up the day of the week when your program aired).  You should select a program that airs between 8-11 PM on a major broadcast or cable network–otherwise you won’t be able to find ratings information.  If you can’t find ratings info, select a different program.

5.  Go to https://www.broadcastingcable.com and discuss one article that interests you (1-2 paragraphs).

6.  Go to https://www.broadcastingcable.com  and look up a job ad that might interest you.  What is the job description and what are the qualifications?

 

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Listen to Benjamin Britten’s A Young Person’s Guide to the Orchestra, p. 65 in the text.

In this music the tone color or timbre of the instruments is very important. What is the overall plan the composer uses to organize these timbres over the entire duration of this music? They’re not just random choices of instruments.

Are there instances where this kind of attention to timbre is found in popular music also?

 

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Listen to the 7 minute interview on NPR with Eran Riklis, the maker of the film Syrian Bride then answer the following questions in a paragraph or two (<400 words).

Riklis describes some of the challenges both historical and current that have prevented a true peace amongst Israel and its neighbors. How, in your opinion, does the US recognition of the Golan Heights as Israeli territory impact peace efforts in the region? In what way did listening to Riklis impact your view on this topic?

https://www.npr.org/2019/03/28/707509429/syrian-bride-illustrates-consequences-of-israels-occupation-of-golan-heights

 

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