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Explain the following statement with an example: the optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.
Do you agree with the following two questions?
1. Why should the optimal solution of any Linear Programming solution be lying at the corner points of the feasible region?
2. Why must it be at the corner points?
Do you agree or diagree the statement above? Why or why not? If you do not agree, please explain an instance in which this might be false.
1. Solve the following linear programming problem using the corner point method:
Find critical numbers, inflection points, absolute max and absolute min values for the following functions:
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What is the first degree Taylor polynomial t1(x) (expanded around x = 0) for the function u(x) = ex? What is the value of this Taylor polynomial t1(x) at x = 3/4 and the error? Compare with the interpolation error
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