Bella Robinson and Steve Carson are running for a seat in the U.S. Senate. If both candidates campaign only in the major cities of the state, then Robinson is expected to get 60% of the votes; if both candidates campaign only in the rural areas, then Robinson is expected to get 54% of the votes; if Robinson campaigns exclusively in the city and Carson campaigns exclusively in the rural areas, then Robinson is expected to get 40% of the votes; finally, if Robinson campaigns exclusively in the rural areas and Carson campaigns exclusively in the city, then Robinson is expected to get 46% of the votes.
Find the optimal strategy for both Robinson and Carson.
Mathematics
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