Answer
$\$ 38$
Work Step by Step
The sale is equal to $=-p+156$ and The revenue is equal to $=-p^2+156p$
For maximum revenue, we must have $\dfrac{dR}{dp}=0$
or, $-2p+156=0 \\ p=\$ 78$ per piece
Thus, the profit becomes: $\$ 78-\$ 40=\$ 38$