#$2$ below: Provide your answers under the specific question you are answering. You need to show all your work for full credit.

$2.$ MGM is a managed care plan that has been asked to submit a premium bid to HMMA Company, a large manufacturer in its service area. The premium bid includes the primary care for all of the HMMA employees. HMMA has provided information about the age and gender of its employees, and MGM has identified average primary care utilization rates from its own databases. This information is shown below:

$\backslash$table$[[$Age Band,HMMA Company,$\{$

$\backslash$table$[[$Average primary care$],[$visits per year$]]\}],[\backslash$table$[[$Number of$],[$males$]],\backslash$table$[[$Number of$],[$females$]]],[$Males$,$Females$],[20-29,270,330,2\mathrm{.}15,3\mathrm{.}16],[30-39,95,99,2\mathrm{.}62,3\mathrm{.}53],[40-49,55,59,3\mathrm{.}17,3\mathrm{.}94],[50-59,35,35,4\mathrm{.}15,4\mathrm{.}44],[60+,8,6,5\mathrm{.}01,5\mathrm{.}05]]$

Each primary care physician can handle about $3,000$ patient visits per year, for which he or she is paid $$170,000.$ What primary care rate $($PMPM$)$ will MGM propose to HMMA Company?