When false alarms are the expensive error

A trading alert reads $X$. Under "no trade" ($H_0$), $X \sim \text{Normal}(0, 1)$; under "trade" ($H_1$), $X \sim \text{Normal}(2, 1)$. The two states are equally likely, $\pi_0 = \pi_1 = 0.5$. Acting on a false alarm costs $8$ units (a bad trade), while missing a real opportunity costs only $1$ unit. You declare "trade" when $X > c$.

Find the cost-minimizing cutoff $c$.