Topic $4-$ Linear Programming: Applications in Marketing, Finance, and Marketing Management $-$ Homework

Question Content Area

eBook

Problem $9-01$

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 newspaper. 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.

If the promotional budget is limited to $$18,200,$ how many commercial messages should be run on each medium to maximize total audience contact? What is the allocation of the budget among the three media?

Let T $=$ number of television spot advertisements

R $=$ number of radio advertisements

N $=$ number of newspaper advertisements

Budget $

T $=$ fill in the blank $1$

fill in the blank $2$

R $=$ fill in the blank $3$

fill in the blank $4$

N $=$ fill in the blank $5$

fill in the blank $6$

$18200$

What is the total audience reached?

fill in the blank $7$

By how much would audience contact increase if an extra $$100$ were allocated to the promotional budget?

fill in the blank $8$