The Fashion Store has $6000 available each month for advertising. Newspaper ads

Question

The Fashion Store has $6000 available each month for advertising. Newspaper ads costs $200 a piece and no more than 20 can be run per month. Radio ads cost $100 each and no more than 30 can run per month. TV ads cost $800 a piece, with a maximum of 7 available each month. Approximately1000 women will see each newspaper ad, 800 will hear each radio ad, and 16,000 will see each TV ad. How much of each type of advertising should be used if the store wants to maximize exposure?

How many newspaper ads should be placed?

How many radio ads should be used?

How many TV ads should be run?

What is the maximum exposure? _____ women

PLEASE SHOW WORK AND STATE ANSWERS CLEARLY

Explanation / Answer

variables

Ads in Newspaper, Radio and TV are N, R and T

constrains

N < 20

R < 30

T < 7

200N + 100R + 800T < 6000

Objective

Maximize 1000N + 8000R + 16000T

Solution

solved with excel solver

maximum viewership is 291,000

ads optimal # max ads viewer per ad total viewers cost per ad total cost const check N 3 20 1000 3000 200 600 17 R 30 30 8000 240000 100 3000 0 T 3 7 16000 48000 800 2400 4 total 291000 0

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