The supply and demand equations of a good are given by
$P$ is measured in dollars. Suppose the government decides to impose a constant per unit tax of $t$ on the supplier.
Find the equilibrium quantity in terms of $t$ Using the expression found in part 1 find the value of $t$ that maximizes the governments total tax revenue. (Make sure the second order condition is satisfied)
I know equilibrium is when Qs=Qd but I don't know how to implement the $t$. Do I just add it the end of $Q_s$ making it $Q_s= (-8+P)+t$ ? If so how do I solve for the equilibrium?