Answer the given question with a proper explanation and step-by-step solution and don't copy past from online source.  Find an optimal parenthesization and the minimum number of scalar multiplications needed for a matrix-chain product whose sequence of dimensions is (5,10,3,12,5,50. Show all the steps used to arrive at the solution.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter10: Advanced Topics In Linear Programming
Section10.4: The Dantzig-wolfe Decomposition Algorithm
Problem 3P
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Answer the given question with a proper explanation and step-by-step solution and don't copy past from online source.

 Find an optimal parenthesization and the minimum number of scalar multiplications needed for a matrix-chain product whose sequence of dimensions is (5,10,3,12,5,50. Show all the steps used to arrive at the solution. 

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