Problema Solution
A store has a $9000 monthly advertising budget. Newspaper ads cost $600 each with a limit of 30 per month, radio ads cost $30 each with a limit of 60 per month, and TV ads cost $3000 each with a limit of 20 per month. About 4000 people see each newspaper ad, 3000 hear each radio ad, and 12,000 see each tv ad. How much of each type should be used to maximize the stores exposure? Interpret the results.
Answer provided by our tutors
let
n = the number of newspaper ads
r = the number of radio ads
t = the number of TV ads
This is a linear programming problem with the following constrains:
0 <= n <= 30
0 <= r <=60
0 <= t <= 20
600b + 30r + 3000t <= 9000 divide both sides by 30
20n + r + 100t <= 300
The objective function is:
F(n, r, t) = 4000n + 3000r + 12000t
Try to find the maximum of the function using Simplex method or some other method.