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The Big-16 Theatre plans to announce their grand opening with radio, newspaper, and TV ads.
The radio ads cost $165 each, newspaper ads cost $250 each, and TV ads cost $750 each.
They plan to run no more than 20 TV ads and no more than a total of 85 radio and newspapers ads.
They estimate that each radio ad will reach 800 people, each newspaper ad
will reach 2400 people and each TV ad will reach 5000 people.
The advertising budget is $30,000.
How many of each type of ad should they run so the total number of people reached is a maximum?
Write the constraints and objective function for this exercise. Do not solve.
r,n, and t are all >=0
165r + 250n + 750t <= 30,000 dollars
t <= 20
r+n <= 85
Objective: # of people reached = 800r + 2400n + 5000t