An online shop offers monthly subscriptions for protein powder.

The shop offers protein powder in three flavours: vanilla \((V)\), chocolate \((C)\) and malt \((M)\).

Let \(P_n\) be the state matrix that shows the expected number of subscribers for each flavour \(n\) months after sales of the protein powder began.

The expected number of subscribers for each flavour can be determined by the matrix recurrence rule

\(P_{n+1}=T P_n+K\)

where

\begin{aligned}
& \quad \quad \quad \ \text { this month }\\
& \quad \quad \quad \ V \quad \ \ C \quad \ M \\ 
& T=\begin{bmatrix}0.2 & 0.2 & 0.1 \\
0.4 & 0.2 & 0.1 \\
0.4 & 0.6 & 0.8
\end{bmatrix} \begin{array}{l}
V \\ C\\ M
\end{array}
\ \text{next month} \quad \text { and } \quad K=\begin{bmatrix} 93 \\ 59 \\ 9\end{bmatrix}\begin{array}{l}V \\ C \\ M \end{array}\end{aligned}

The state matrix, \(P_2\), below shows the expected number of subscribers for each flavour two months after sales began.

\begin{align*}
P_2=\begin{bmatrix}
147 \\
137 \\
199
\end{bmatrix}
\end{align*}

The increase in the expected number of subscribers for vanilla \((V)\) between the initial sales, \(P_0\), and the first month after sales began, \(P_1\), is equal to

1. 27
2. 54
3. 60
4. 87
5. 93