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Supply and Demand question with tax

I received a question which I couldn't understand. 'Consider the demand and supply curves D = 920 4P and S = 2P 40.
(a) Find the equilibrium price P and corresponding quantity Q∗'

For this I got 160 for P and 280 for Q, which I think is right but the second part I am confused on: 'Now suppose that a tax of $4.50 per unit is imposed on the producer. How will this influence the equilibrium price? Compute the total revenue of the producer before the tax is imposed (R*) and after (^R).'

I'm guessing you do S = 2(P-4.5)-40 = 920 - 4P. I got 161.5 as the new P and 44,800 for revenue before tax. For after tax I got 45220 but i think it's wrong. Any help please?

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