Consider the following linear programming problem: 
The above linear programming problem:
Definitions:
Proclamation of 1763
A decree issued by the British crown aimed at stabilizing relations with Native American populations by limiting colonial expansion westward beyond the Appalachian Mountains.
Colonial Frontier
The border or edge of a colony's territory, where expansion and encounters with indigenous populations often took place.
Ohio Valley
A geographical region in the United States encompassing parts of the states around the Ohio River, significant for its early colonial history and development during westward expansion.
Imperial Rivalries
Conflicts and competition for overseas territories and power among European empires from the 15th to early 20th centuries.
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