Question

The fashion store has $12,000 available each month for advertising. Newspaper ads cost $400 apiece and no more than 20 can be run per month. Radio ads cost $200 each and no more than 30 can run per month. Tv ads cost $1600 piece, with a maximum of 7 available each month. Approximately 2000 women will see each newspaper ad, 1600 will hear each radio ad, and 14,000 will see each tv ad. How much of each type of advertising should be used if the store wants to maximize exposure? A

Answer 1

Answer:

News Paper Radio TV Cost Viewer

0                       4 7 12000 104400

Step-by-step explanation:

N ≤ 20

R ≤ 30

T ≤ 7

400N + 200R  + 1600T ≤ 12000

Max   2000N  + 1600R + 14000T

in cost of one TV ad we can have following Viewers against 14000 Viewers for TV ad

News Paper Radio  Cost Viewer

0 8  1600 12800

1 6  1600 11600

2 4  1600 10400

3 2  1600 9200

4 0  1600 8000

All cases have less viewers

=> 7 Ad of TV costing 1600* 7 = 11200 will give maximum viewers = 14000*7 =98000

still we have $800 left

$400 Newspaper get 2000 Viewers

while $400 Radio can get = 2 * 1600 = 3200 Viewers

4 Radio in $800 will get = 4 * 1600 = 6400 Viewers

98000 + 6400 = 104400 Viewers

News Paper Radio TV Cost Viewer

0                       4 7 12000 104400