Consider the following chain of matrices $A_{1}$ to $A_{4}$ having dimensions given below
$A_{1}\rightarrow 2\times 3$
$A_{2}\rightarrow 3\times 5$
$A_{3}\rightarrow 5\times 4$
$A_{4}\rightarrow 4\times 2$
The following table is filled up using dynamic programming in order to find minimum number of scalar multiplications$:$
What are the values of $P$ and $Q?$
- $60,140$
- $60,82$
- $60,40$
- $60,92$