The WestchesterChamber of Commerce periodically sponsors public service seminarsand programs. Currently, promotional plans are under way for thisyear’s program. Advertising alternatives include television, radio,and online. Audience estimates, costs, and maximum media usagelimitations are as shown:
| Constraint | Television | Radio | Online |
|---|
| Audience per advertisement | 100000 | 18000 | 40000 |
| Cost per advertisement | $1400 | $300 | $600 |
| Maximum media usage | 10 | 20 | 10 |
To ensure a balanceduse of advertising media, radio advertisements must not exceed 50%of the total number of advertisements authorized. In addition,television should account for at least 10% of the total number ofadvertisements authorized.
If the promotional budget is limited to $16,400, how manycommercial messages should be run on each medium to maximize totalaudience contact? What is the allocation of the budget among thethree media? If required, round your answers to the nearestdollar.
| Let | T = number of television spot advertisements |
| R = number of radio advertisements |
| O = number of online advertisements |
| Budget ($) |
|---|
| T = | |
| R = | |
| O = | |
| Total Budget = $Â Â |
What is the maximum total audience that would be reached? Roundyour answer to the nearest whole number.
By how much would audience contact increase if an extra $100were allocated to the promotional budget? Round your answer to thenearest whole number.
