Two dentists, Lydia Russell and Jerry Carlton, are planning toestablish practices in a newly developed community. Both haveallocated approximately the same total budget for advertising inthe local newspaper and for the distribution of fliers announcingtheir practices. Because of the location of their offices, Russellis expected to get 49% of the business if both dentist advertiseonly in the local newspaper; if both dentist advertise throughfliers, then Russell is expected to get 45% of the business; ifRussell advertises exclusively in the local newspaper and Carltonadvertises exclusively through fliers, then Russell is expected toget 57% of the business. Finally, if Russell advertises throughfliers exclusively and Carlton advertises exclusively in the localnewspaper, then Russell is expected to get 55% of the business.
(a) Construct the payoff matrix for the game. (Enter eachpercentage as a decimal.)
| | Carlton |
| | Â Â Â Â Â Â Â Â Â NÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â F |
| Russell   | N
F | 1 |
Is the game strictly determined?
YesNo    Â
(b) Find the optimal strategy for both Russell (row) and Carlton(column). (Round your answers to three decimal places.)
