# Answered Essay: The Westchester Chamber of Commerce periodically sponsors public service seminars and programs. Currently, promotional plans are under way for this year’s program. Advertisi

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:

Maximum media usage 10 20 10

If the promotional budget is limited to \$29,300, 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? If required, round your answers to the nearest dollar.

Budget (\$)
T =
R =
N =
Total Budget = \$

Decision variables:

Let

Objective function:

Objective function is to maximize the audience reach

Z = max 100000T + 18000R + 20000N

Constraints:

2000T + 300R + 600N <= 29,300 (Budget)

T<=10 (Max TV usage)

N<= 10(Max newspaper usage)

R<= 0.5*(T+N) or -0.5T + R – 0.5N <= 0 (number of newspaper advertisements)

T>=0.1(T+R+N) or 0.9T – 0.1R – 0.1N >= 0 (television should account for at least 10% of the total number of advertisements)

T,R,N >= 0 (Non negativity constraint)

T = 10

R=10

N =10

T budget = 10*2000 = 20,000

R budget = 10*300 = 3,000

N budget =10*600 = 6,000

Total budget = 29,000

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