As the Operations Manager, you have been asked to optimize the number of hubs for you

See the matrix attached to map the cities plances $($x marks$).$ A hub can be placed on any square $($including squares with or without a city$).$ Once placed, a hub can cover nine cities$/$squares $($the eight adjacent squares surrounding it and the one it sits on$).$ For example, if you placed a hub in B$2,$ it would provide cover to A$1,$ B$1,$ C$1,$ A$2,$ B$2,$ C$2,$ A$3,$ B$3,$ and C$3.$

The airline recognizes that it may not be worthwhile to cover all cities, so it has instructed you that it needs to cover only $70\%$ of the cities in the above diagram. Each hub is expensive to construct and maintain so it is in your best interest to only use the minimum number of hubs so that $70\%$ of cities are covered.

Question: What is the minimum number of hubs needed to provide service to at least $70\%$ of the cities and where should they be located?

Develop an LP model considering LINDO program syntaxe, clearly explaining your decision variables, object functions, and constraints. Solve the model and provide your recommendations.