Linear Programming Question

[foxy1219]

We have 5 TV stations broadcasting in an area with 9 regions. We desire to cover the whole
area at the lowest total cost. How would the choice differ if we sought to maximize the
audience exposure?

Station Region Covered Cost of Coverage Audience Exposure
1 1,2,3 3 12
2 2,3,6 4 10
3 4,5,6 3 14
4 5,7,8 7 19
5 6,8,9 5 16

 

[galactus]

Please repost so we can tell what youy mean. As is, it is difficult to understand.

 

[soroban]

Hello, foxy1219!

I can organize your chart . . .

We have 5 TV stations broadcasting in an area with 9 regions.
We desire to cover the whole area at the lowest total cost.
How would the choice differ if we sought to maximize the audience exposure?

. . \(\displaystyle \begin{array}{ccccc}\text{Station} & \text{Region Covered} & \text{Cost of Coverage} & \text{Audience Exposure } \\ \hline 1 & 1,2,3 & 3 & 12 & \\ 2 & 2,3,6 & 4 & 10 \\ 3 & 4,5,6 & 3 & 14 \\ 4 &5,7,8 & 7 & 19 \\ 5 & 6,8,9 & 5 &16 \end{array}\)

But we don't know how those quantities are related.

Where and what are the variables?
What can we change in order to increase audience exposure?

 

[foxy1219]

Thanks for organizing it for me
The variables are the stations. . . and that was the thing I could not find out what to change to increase the audience exposure that's the pickle.

Thanks again