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(See attached file for full problem description with proper symbols)

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Consider the linear program:
Min x + y
St x + 2y = 
x, y > 0

a) Find (with any method you'd like) an optimal solution to this problem as a function of .

b) Graph the optimal cost as a function of .

c) Construct the dual of this problem and identify its optimal solution as a function of . How does this correspond to the graph in part b?

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Consider the linear program:
Min x + y
St x + 2y = 
x, y > 0
a) Find (with any method you'd like) an optimal solution to this problem as a function of .
Let C = x ...

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