A linear programming computer package is needed.

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 online. Audience estimates, costs, and maximum media usage limitations are as shown.

Constraint Television Radio Online

Audience per 400,000 72,000 160,000

advertisement

Cost per $2,000 $300 $600

advertisement

Maximum 10 20 10

media usage

To ensure a balanced use 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 of advertisements authorized.

(a)

If the promotional budget is limited to $22,800, how many commercial messages should be run on each medium to maximize total audience contact?

Television_____________

Radio______________

Online_______________

What is the allocation of the budget among the three media, and what is the total audience reached?

Television Budget_____________

Radio Budget________________

Online Budget________________

Total Audience_____________

(b)

By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Round your answer to the nearest whole number.)

_____________?