Find the complete optimal solution to this linear programming problem. 
Definitions:
Political Interest Groups
Organizations that seek to influence government policy and decision-making without seeking formal political office, often by lobbying or campaigning.
Corporatists
Individuals or philosophies advocating the control of a state or organization by large interest groups, emphasizing the collaboration between the government and major industries for economic regulation and stability.
Organizing Economies
The structured arrangement and management of economic activities and resources within a community, region, or country, aiming for efficiency and growth.
German Republic
Refers to the Weimar Republic, the democratic government of Germany from 1919 to 1933, established after World War I and ended with the rise of Nazi power.
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