Choose coordinates for cities, assuming Earth is flat. Then

arkansasst555

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Oct 21, 2008
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I need some help setting up the equation for this calculus word problem.....

Two things to get you started: (1) Choose your coordinates for the different cities. It will be enough to assume the Earth is flat, so you can use an XY-plane. (2) You will need the latitude and longitude of each city. Try http://www.indo.com/distance/ for starters.

In order to present a kinder, more capitalist image of extraterrestrials than what is usually shown in the media, I have decided to open up a business in your prime locality. I came to this decision after seeing all the hoopla in a town to your west called Roswell. (Evidently something really strange happened there. I don't recall any of my friends dive-bombing Earth in quite some time, but I digress......) I am starting Space Modulators Incorporated with a grant from the Small Business Administration for legal aliens, and I plan to open several retail outlets to sell my Illudium Q-36 Explosive Space Modulator, since the Earth blocks my view of Venus. (Don't worry, I'll set the phasers to stun, not kill). I need the help of your company to determine the best location for my central distribution site. I plan to open one store in Washington, D.C., one store in San Fransisco, CA, and the third store in College Station, TX. I plan on having just one central distribution site, and will make weekly deliveries to each of the stores. I plan on making three trips per week to San Fransisco, CA, only two per week to Washington, D.C., and five per week to College Station, TX. (They seem to really be into destroying orange and white things in that town; any idea why?) Anyway, I want to minimize the total flight distance, to keep my costs down. If the market is as strong as I anticipate, I plan to open another outlet store in Key West, Florida. I expect the Illudium Q-36 to be so popular there that I will have to make six trips per week there. Before I commit to opening a fourth outlet, I would like to know what effect this will have on the location of the central distribution site for the three stores. I also need to know the optimal site for the distribution site if all four stores are open, and I would like your recommendation on which of the two locations is better.

Washington DC 38:54:18 N, 77:00:58 W

SanFrancisco, CA 37:47:02 N, 122:33:17 W

College Station, TX 30:36:02 N, 96:18:44 W

Key West, Fl 24:33:46N, 81:46:31W
 
With any luck, one of those here who "does" students' work for them will provide you with the complete hand-in solution before the 18 November 2008 deadline, so you won't have to pay for it elsewhere. But, in view of your professor's stated academic dishonesty policy, I'm afraid I'm not comfortable in "helping", even had you shown any effort of your own (other than offering money).

But at least this exercise is so hum-drum and ordinary that your professor will surely never find your copy of it here or elsewhere, so he'll never be the wiser. Yay.

Eliz.
 
The funny thing is that each student group gets one free 10 minute session with me, the instructor, to talk about this project. In addition, we discussed in class some simplifying assumptions that will make the project easier to do, which are not stated in the post. So if you did this problem the way it is written, it would be wrong.

The teacher who assigned this project,
Rob Eby
 
Ohhh, I wouldn't think of it as ratting them out. This has happened before, and I have used this project, with different cities, for a few years now. The "hard" part about this project is the writing it up. As was noted above, the problem itself is fairly straightforward, especially when using the simplifying assumptions that I discussed with my students in class.

If the student is who I think it is, then they probably did this on their own, without telling their group anyway.
 
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