Total Labor Cost Per Good Matrix Calculation

[Binte]

This is probably a simple question

A factory produce a good that requires 3 labor-hours in the assembly department and 1 labor-hour in the finishing department. Assembly personnel receive 19 per hour and finishing personnel receive 16 per hour.

I need to write a matrix or vector product that would give the total labor cost per good.

Is this just simply

$$=\begin{bmatrix}
3 & 1 \\
16 & 19 \end{bmatrix}$$ ?

Thanks

 

[Deveno]

The desired answer will be just a number (a scalar), which suggests you want an inner product.

We have two departments, and the cost in each department will be:

time spent x cost per time unit.