00:01
Hi, to formulate a linear programming model for the problem, we need to calculate the cost per 1000 impressions, so cpm, shortly we say, for each advertising unit.
00:10
Cpm is calculated by dividing the cost of an advertising placement by the number of impressions expressed in 1000, i .e.
00:16
At a given rate.
00:17
We can use the following cpm formula, i .e.
00:20
Cpm is equal to cost of an advertising unit by number of potential customers reached per unit by 1000.
00:55
Using the data provider, we can calculate the cpm for each advertising unit as follows.
01:04
So, the first is newspaper, so for that cpm is equal to 30 ,000 plus a by 20, 200 ,000 by 1000, so which is equal to, we get, here i am writing 30 ,000 plus a by 200.
01:34
And for the television, so this is television, 20 ,000 plus b by 600 ,000 by 1000, so 20 ,000 plus b is 600.
01:44
Next, facebook, for facebook, 15 ,000 plus c by 150, youtube is 10 ,000 plus d by 100.
01:56
So, next we formulate the linear programming model as follows, so that is, directly i write the answer, so the objective function is minimize the cost and the cost is equal to 5n plus 10t into 30 ,000 plus a plus 5n plus 10t into 20 ,000 plus b plus 3f plus 2y into 15 ,000 plus c plus 3n plus 10t into 200.
02:44
So, 3f plus 2y into 10 ,000 plus d and the constraints are n plus t greater than or equal to 5 and n plus t less than or equal to 10...