4. Supply + Tax R Supply 1X UU Price Y `Demand Q1 Q2 Q3 Q4 Qs Quantity . Hats are produced in a perfectly competitive industry, and the government imposes a per-unit sales tax on hats. (a) Using the labeling from the graph, identify each of the following. (i) The after-tax price paid by consumers and the after-tax quantity (ii) The area representing the total tax revenue received by the government (b) Now assume instead that the demand for hats is perfectly inelastic at Q3, while the supply and the per-unit tax remain unchanged. (i) Will the after-tax price paid by consumers be higher, lower, or the same compared to the price in your answer to part (a)(i) ? (ii) Will the total tax revenue received by the government be higher, lower, or the same compared to the tax revenue in your answer to part (a)(ii) ? Explain. (c) If the demand for hats remains perfectly inelastic at Q, and the per-unit sales tax is reduced, will producer surplus increase, decrease, or stay the same? Explain