The supply and demand functions of a good are P s = 3Q s + 40 and P d = 2Q d + 80 respectively. If the government decides to impose a tax of Rs t per unit of goods. Find the value of t that…

The supply and demand functions of a good are $P_s=3Q_s+40$ and $P_d=-2Q_d+80$ respectively. If the government decides to impose a tax of Rs t per unit of goods. Find the value of t that maximizes the government total tax revenue on the assumption that equilibrium condition prevail in the market. For this level of tax, find: a. The equilibrium price and quantity b. The total tax raised.