Consider the feedforward neural network. Let us denote by FC$($in$,$ out$)-$ the linear layer with in $-$ inputs and out $-$ outputs, followed by some nonlinear activation function. Hence, the diagram of the neural network would look as follows:

FC$(10,30)->$ FC$(30,40)->$ FC$(40,50).$

Calculate the exact amount of the trainable weights in this model.

a$)1240$

b$)1570$

c$)1700$

d$)1775$