Question
Demand and supply equations were given as Qd = 300 - P,
Qs = P/2 and govt imposes specific tax you had to find quantity at which tax revenue is maximized?Solution
We know that when tax is imposed, Pd = Ps + t Pd – Ps = t 300 – Q = 2Q + t Q* = 100 – t/3 Tax Revenue = t.Q = 100t – t2 / 3 For maximizing tax revenue, 100 – 2t/3 = 0 So, t = 150 Q* = 100 – 50 = 50
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