In problems 1-12, match each of the function with one of the graphs labeled (a)-(1) shown following these functions. Recognizing special features of certain types of functions and plotting points for the functions will be helpful. f ( x ) = { 2 if x < 0 x 3 if x ≥ 0
In problems 1-12, match each of the function with one of the graphs labeled (a)-(1) shown following these functions. Recognizing special features of certain types of functions and plotting points for the functions will be helpful. f ( x ) = { 2 if x < 0 x 3 if x ≥ 0
Solution Summary: The author explains that the function f(x)=l2
In problems 1-12, match each of the function with one of the graphs labeled (a)-(1) shown following these functions. Recognizing special features of certain types of functions and plotting points for the functions will be helpful.
Suppose we have a linear program in standard equation form
maximize cx
subject to Ax = b,
x > 0.
and suppose u, v, and w are all optimal solutions to this linear program.
(a) Prove that z = u+v+w is an optimal solution.
(b) If you try to adapt your proof from part (a) to prove that that u+v+w
is an optimal solution, say exactly which part(s) of the proof go wrong.
(c) If you try to adapt your proof from part (a) to prove that u+v-w is an
optimal solution, say exactly which part(s) of the proof go wrong.
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