For the sequence of matrices, given below, compute the order of the product,

A$1.$A$2.$A$3.$A$4.$A$5,$ in such a way that minimizes the total number of scalar multiplications,

using Dynamic Programming.

Order of A$1=10$ x $35$

Order of A$2=35$ x $15$

Order of A$3=15$ x $20$

Order of A$4=20$ x $25$

Order of A$5=25$ x $10$