Question: 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
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 advertisement | 300,000 | 54,000 | 120,000 |
| Cost per advertisement | $2,000 | $300 | $600 |
| Maximum media usage | 10 | 20 | 10 |
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 $15,900, 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.)
__________
PLEASE PLEASE PLEASE SHOW STEP BY STEP OF HOW TO SOLVE IN EXCEL!
Thank you!
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