Quantitative Methods Math Problem

[vtguy84]

Educators and students alike:

I am in need of setting up this problem.  It's a Linear Programming equation. I am trying to hlep a friend but it's been 5 years since I took this class, so needless to say that I have lost most of this.


'The production editor for Rayburn Publishing Company has 1800 pages of manuscript that must be copyedited.  Because of the short time frame involved, only two copyeditors are available: Erhan and Sue.  Erhan has 10 days available and Sue has 12 days available.  Erhan can process 100 pages of manuscript per day and Sue can process 150 pages of script per day.  Rayburn Publishing has developed an index used to measure the overall quality of a copyeditor on a scale form.  1(worst) to 10(best).  Erhan's quality rating is 9 and Sue's quality is 6.  In addition, Erhan charges $3 per page of copyedited manuscript and Sue charges $2 per page.   If a budget of $4800 has been allocated for copyediting, how many pages should be assigned to each copyeditor in order to complete the project within the highest possible quality?'


Thanks for your help

[b3wannab]

Since the focus of the problem is the highest quality rating, and Erhan has the higher quality rating, utilize his services for the full 10 days to begin with.  This gives us 1000 pages copyedited (10 days x 100 pgs./day) at a cost of $3000. (1000 pgs. x $3/pg.)

For the remainder of the project, use Sue to complete the final 800 pages, at a cost of $1600 (800pgs. x $2/pg.) It will only take her 5.33 days to complete since she is able to complete 150 pgs. per day.

So, your final cost is $3k + $1600 = $4600, and you're able to come in under budget, with the highest quality rating possible given the 2 workers that were available.

[Incognegro]

Since the focus of the problem is the highest quality rating, and Erhan has the higher quality rating, utilize his services for the full 10 days to begin with.  This gives us 1000 pages copyedited (10 days x 100 pgs./day) at a cost of $3000. (1000 pgs. x $3/pg.)

For the remainder of the project, use Sue to complete the final 800 pages, at a cost of $1600 (800pgs. x $2/pg.) It will only take her 5.33 days to complete since she is able to complete 150 pgs. per day.

So, your final cost is $3k + $1600 = $4600, and you're able to come in under budget, with the highest quality rating possible given the 2 workers that were available.

nice try, but u fail.  Teh anser is 6.  Put that down VT.  Teh anser is 6.

[4hisglory]

If a budget of $4800 has been allocated for copyediting, how many pages should be assigned to each copyeditor in order to complete the project within the highest possible quality?'

Ummm..I don't think the question has been answered yet.  I'll "try" to take a look today.  My brain hurts just by reading now.

[B3Wannabe]

x=(4800-2y)/3

Erhan = 1200 = x
Sue = 600 = y

[vtguy84]

Not quite.  The answer is going to be something like this:

Sample problem:

Linear Programming Model:
Midtown motors inc., hired a marketing services firm to develop an advertising strategy for promoting Midtown's used car sales. The marketing firm has recommended that Midtown use spot announcements on both tv and radio as the advertising media for the proposed promotional campaign. Advertising strategy guidelines are expressed as follows:
1. Use at least 30 announcements for combined tv and radio coverage
2. Do not use more than 25 radio announcements
3. The number of radio announcements cannot be less than the number of tv announcements.
The television station quoted a cost of $1200 per spot announcement, and the radio station a cost of $300 per spot announcement, Midtown's advertising budget is set at $25,500. The marketing services firm rated the various advertising media in terms of audience coverage and recall power of the advertisement. For Midtown's media alternatives, the television announcement is rated 600 and the radio announcement 200. Nidtown's president would like to know how many television and how many radio spot announcements should be used to maximize the overall rating of the advertisement campaign.
Midtown's president believes the television station will consider running the Midtown spot announcement on its highly rated evening news program (at the same cost) if Midtown will consider using additional tv announcements.

Include in answer:
1. Recommended number of tv and radio spot announcements
2. Relative merits of each advertising medium
3. The news program that would be necessary before it would make sense to increase the number of tv spots.
4. The number of tv spots that should be purchased if the news program is rated highly enough to make increasing the number of tv spots advisable
5. The restriction placed on the advertising strategy that Midtown might want to consider relaxing or altering
6. The best use of any possible increase in the advertising budget
7. Any other info that may help Midtown's president mae the advertising strategy decision.
Also include a copy of your linear programming model and graphical solutions...

Answer here

[Incognegro]

I am trying to hlep a friend...

You wanna help?  Tell him/her that depending on a gospel music forum to help with Linear Programming equations is a sure way to an 'F'.

 

[Incognegro]

hlep

You're not hlepping this friend with english r u?

[vtguy84]

You're not hlepping this friend with english r u?

I'll keep away from English if you keep away from comedy.

[Mysteryman]

I'll keep away from English if you keep away from comedy.

[Incognegro]

I'll keep away from English if you keep away from comedy.

y so sensitive?

[jivejong]

nice try, but u fail.  Teh anser is 6.  Put that down VT.  Teh anser is 6.

The Asian guy agrees. The answer is 6.

[Incognegro]

The Asian guy agrees. The answer is 6.

And there you have it.

[B3Wannabe]

Let's try "42" then.

[SirTJ]

My head hurts...

[Mysteryman]

IPhone: There's an app for that.