The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this years program. Ad- vertising alternatives include television, radio, and online. Audience estimates, costs, and maximum media usage limitations are as shown:

Constraints	Television	Radio	Online
Audience per advertisement	100000	18000	40000
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, What is optimal number of Television units?

b. What is optimal number of Radio units?

c. What is optimal number of Online units?

d, What is total audience reached?

e. 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).