As an IT manager, you must decide how to allocate programmers between $$support$"$that is$,$ doing bug fixes and responding to production issues$$and the development of new features and systems. Both tasks are measured in completed tickets," and for each activity, the weekly average product, total product, and marginal product are given in the accompanying table. Ticket completions of both types are equally valued by your company. Your programmers work in teams of $10.$ Currently you allocate two teams $(20$ programmers$)$ to support and three teams $(30$ programmers$)$ to development. How should you reallocate your teams, if at all, to achieve the maximum number of competed tickets per week? Number of teams $0$ Support $$ Development $$ AP MP AP MP $0014550505046454590135239645454545454548464442418045451381762104238345225$ Development: team$($s$)$ Support: team$($s$)$