The 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:

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.

What is optimal number of Television units?

What is optimal number of Radio units?

What is optimal number of Online units?

What is total audience reached?

By how much would audience contact increase if an extra $100 were allocated to the promotional budget? (Note: a $100 increase won't actually purchase any additional units of advertising as you can't purchase partial units. This sort of question assumes the function is continuous, when it really isn't. Record your answer as if the function is continuous to indicate you understand how to read a sensitivity report, but recognize that the real answer is 0 because the function isn't continuous).