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Linear Programming
Consider the following optimization problem:
min x
s.t. x ≥ max{a1, a2, . . . , an}
Rewrite this problem as a Linear Programming Problem. What is the solution of this problem? Write the dual of this problem. From duality theory and complementary slackness give a simple formula for the optimal solution of the dual.
Example : Solve the following differential equation. y (3) - 12 y''+48 y' + 64 y = 12 - 32 e -8t + 2 e 4t Solution : We first require the complementary solution
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1. A function that produces the Collatz sequence and counts the number of terms. 2. A main function that calculates interesting values about the Collatz sequence. 1.The Col
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