Chasing Windmills, manufacturer of wind turbines, is looking to open one or more new plants to service the Midwest region. They want to keep the distance between the plant and five metropolitan areas to less than $300$ miles. What is the objective function?

From$/$To Chicago Des Moines Indianapolis Omaha St$.$ Louis

Chicago $0333184467296$

Des Moines $3330477134349$

Indianapolis $1844770611242$

Omaha $4671346110432$

St$.$ Louis $2963492424320$