A company wants to give commercials using different channels. Its budget is $$100,000.$

There are maximum limits for each channel: for television four commercials, for radio $10$

commercials, and for newspaper $7$ ads. In total, the company desires no more than $15$

commercials and$/$or ads for all channels. The cost of each commercial$/$ad and the average

number of people that the commercial$/$ad reaches $($exposure$)$ is given in the following table:

We want you to formulate an LP$,$ which maximizes the number of people reached by the

commercial$/$ad while satisfying the requirements.