Chamber of Commerce periodically sponsors public service seminars and programs which are open to the public. Currently, promotional plans are under way for this year$$s program. Advertising alternatives include television, radio, and newspaper. Audience estimates, costs, and maximum media usage limitations are shown below:

Television

Radio

Newspaper

Audience per advertisement

$100,000$

$20,000$

$40,000$

Cost per advertisement

$$1,700$

$$290$

$$520$

Maximum media usage limitation

$15$

$25$

$13$

Suppose that the production budget is limited to $$43,000.$ We are limited to run at most $41$ Ads in all three mediums combined. We need to determine how many commercial messages should be run on each medium so as to reach as many people in Rapid City as possible.

Optimal Solution:

Number of TV Ads $=$

Number of Radio Ads $=$

Number of Newspaper Ads $=$

Total Audience Reached $=$

Hint: Value should be between $2276800$ and $2281700$

The Total Cost to buy all of these Ads will be $