00:01
Okay, this question gives us some constraints on advertising.
00:06
So the first thing it says is that it's $100, or $100 ,000, rather, per each tv ad plus $20 ,000 for each newspaper ad, and that has to be less than the total budget of a million dollars.
00:26
Then the second constraint is that at least, or sorry, no more than 80 % of the budget can be spent on television ads.
00:42
So the budget is a million.
00:44
So 80 % of that is 800 ,000.
00:48
So that means that our tv ads cannot exceed 8.
00:55
Because any more than 8 tv ads means we're over 80 % of our budget.
01:01
So then that also puts a constraint on our newspaper, which means that we have to have at least 10 ads.
01:12
So going ahead and graphing this in desmos, we can see that our feasible region is this right here.
01:23
So there are four vertices.
01:31
One vertices is at the origin.
01:35
Another vertices is at 8 .10.
01:48
Another vertex is at this intersection right here, which is 050...