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Problem 4-01 (Algorithmic)

The Westchester Chamber of Commerce periodically sponsors publicservice seminars and programs. Currently, promotional plans areunder way for this year’s program. Advertising alternatives includetelevision, radio, and newspaper. Audience estimates, costs, andmaximum media usage limitations are as shown:

Constraint	Television	Radio	Newspaper
Audience per advertisement	100000	18000	20000
Cost per advertisement	$2000	$300	$600
Maximum media usage	10	20	10

To ensure a balanced use of advertising media, radioadvertisements must not exceed 50% of the total number ofadvertisements authorized. In addition, television should accountfor at least 10% of the total number of advertisementsauthorized.

1. If the promotional budget is limited to $31,100, how manycommercial messages should be run on each medium to maximize totalaudience contact? What is the allocation of the budget among thethree media? If required, round your answers to the nearestdollar.
   

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

   	Budget ($)
   T =
   R =
   N =
   	Total Budget = _____$

   
   What is the total audience reached? Round your answer to thenearest whole number.
   
   ________________
   
2. By how much would audience contact increase if an extra $100were allocated to the promotional budget? Round your answer to thenearest whole number.
   

_________________