Posted by **Matt** on Sunday, February 27, 2011 at 11:04am.

Assignment Problem 1*

Print Media Advertising (PMA) has been given a contract to market Buzz Cola via newspaper ads in a major southern newspaper. Full-page ads in the weekday editions (Monday through Saturday) cost $2000, whereas on Sunday a full-page ad costs $8000. Daily circulation of newspaper is 30,000 on weekdays and 80,000 on Sundays.

PMA has been given a $40,000 advertising budget for the month of August. The experienced advertising executives at PMA feel that both weekday and Sunday newspaper ads are important; hence they wish to run the equivalent of at least eight weekday and at least two Sunday ads during August. (Assume that a fractional ad would simply mean that a smaller ad is placed on one of the days; that is, 3.5 ads would mean three full-page ads and one half-page ad. Also, assume that smaller ads reduce exposure and costs proportionately.) This August has 26 weekdays and 5 Sundays.

The objective is to determine the optimal placement of ads by PMA in the newspaper during August so as to maximize the cumulative total exposure (as measured by circulation) for the month of August.

a) Formulate the linear programming model for the problem.

b) Use the Graphical method to find the optimal solution. Show all steps.

c) Use Excel Solver to find the optimal solution. Copy and paste your spreadsheet and the Answer report in its entirety from Excel. Remember to not delete/modify any part of the Answer Report.

- Quantitative methods -
**Damon**, Sunday, February 27, 2011 at 11:43am
w = # of workday ads

s = # of sunday ads

cost constraint

2,000 w + 8,000 s </= 40,000

or simplified

w + 4 s </= 20

days needed constraints

8 </= w </= 26

2 </= s </= 5

graph these, box for the two days needed with line sloping down from left through the box for cost

three intersections

(2,8) , (2,12) , (3,8)

maximize E = 30,000 w + 80,000 s

check those three corners and pick the one with the biggest E

## Answer This Question

## Related Questions

- Business Algebra - After running various advertisements, you have received the ...
- math - An ad campaign for a new snack chip will be conducted in a limited ...
- math - An ad campaign for a new snack chip will be conducted in a limited ...
- Advertising-HELP - I need an advertisement which hasnt been banned yet, but that...
- Health - I chose 5 points as you suggested to me. Thank you very much, ...
- programming logic and design - The Daily Gazette accepts classified ads in ...
- Art - Writeacher, I urgently need to revise these sentences. I really hope you ...
- Foreign languages - Thank you very much for helping me. Here are the very last ...
- Art - I left out a few other things. Could you please check them, too? 1) The ...
- Stats .01 level - A major home improvement store conducted its biggest brand ...

More Related Questions