Two dentists, Lydia Russell and Jerry Carlton, are planning to establish practices in a newly developed community. Both have allocated approximately the same total budget for advertising in the local newspaper and for the distribution of fliers announcing their practices. Because of the location of their offices, Russell is expected to get 46% of the business if both dentists advertise only in the local newspaper; if both dentists advertise through fliers, then Russell is expected to get 43% of the business; if Russell advertises exclusively in the local newspaper and Carlton advertises exclusively through fliers, then Russell is expected to get 68% of the business. Finally, if Russell advertises through fliers exclusively and Carlton advertises exclusively in the local newspaper, then

Russell is expected to get 50% of the business. Find the optimal strategy for both Russell and Carlton.




Mathematics

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