Matrix chain multiplication: We have six matrices, A1, A2, A3, A4, A5 and A6. The dimensions are respectively (10,30), (30,60), (60,10), (10,30), (30,40) and (40,10). A1.6 A1 A2A3A4A5A6. Using dynamic programming, we can find the best way (that minimize the number of scalar multiplications) to compute the product A1.6. Let m[i, j] denote the minimum number of scalar multiplications to compute A;A¡+1 ... Aj. Compute m[1, 4] and fully parenthesize the matrices A1 A2A3 A4 so that the optimal solutions are obtained.

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Payback Period

Payback period analysis is a method used to determine the relative time value of a project. It measures the time that a project will take to return its initial investment. The total time taken by the project to return the initial investment made for the project is called the payback period.