Question

The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. 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 as shown:

Constraint	Television	Radio	Newspaper
Audience per advertisement	130000	16500	30000
Cost per advertisement	$2350	$375	$450
Maximum media usage	11	8	15

To ensure a balanced use of advertising media, radio advertisements must not exceed 45% of the total number of advertisements authorized. In addition, television should account for at least 10% of the total number of advertisements authorized.

1. If the promotional budget is limited to $33350, how many commercial messages should be run on each medium to maximize total audience contact? What is the allocation of the budget among the three media? If required, round your answer to nearest integer.
   

   Let	T = number of television spot advertisements
   	R = number of radio advertisements
   	N = number of newspaper advertisements

   	Budget $
   T =
   R =
   N =

   
   What is the total audience reached?
   
   
   
2. By how much would audience contact increase if an extra $100 were allocated to the promotional budget?
   

Answer 1

CO vem otaiTelevsion Radi Neasferes 65oo 30000 30000 Cost Pes t$2350$315450 Odve)tisement (5 8 usage Nocu t mazimize media usaje S. U tre hadio adveobre me »t must no exceei hs/. Rs 045 (tRN N the televisim acrouvts of at least lo/

Nowy Salving the eguatic, et O. Оа@ then urget R24 Qucience 6500 dL41 30000 า 15000 t 407550 + 741000 | 8 63550 haj budget tii be 5570 audience Conta ct incnease if an fxt1a Total audi e ce- Kr sese (115000