$6$: Linear Programming

$18.$ Optimizing Advertising Exposure Everest Deluxe World Travel has decided to advertise in the Sunday editions of two major newspapers in town. These advertisements are directed at three groups of potential customers. Each advertisement in Newspaper I is seen by $70,000$ Group A customers, $40,000$ Group $B$ customers, and $20,000$ Group $C$ customers. Each advertisement in Newspaper II is seen by $10,000$ Group $A,20,000$ Group $B,$ and $40,000$ Group $C$ customers. Each advertisement in Newspaper I costs $$1000,$ and each advertisement in Newspaper II costs $$800.$ Everest would like their advertisements to be read by at least $2$ million people from Group $A,1\mathrm{.}4$ million people from Group $B,$ and $1$ million people from Group $C.$ How many advertisements should Everest place in each newspaper to achieve its advertising goals at a minimum cost?