Question: please help with the following problem: Consider a market with the following demand and supply functions. QD = 20 2P QS = 2P + 4

please help with the following problem:

Consider a market with the following demand and supply functions.

QD = 20 2P

QS = 2P + 4

Calculate the price (P1) and quantity (Q1) in the initial equilibrium.

Now, determine the effect of a 4$ tax collected from the producers by using

the following supply curve.

Q's = 2(P 4) + 4

Calculate the price (P2) and quantity (Q2) in the new equilibrium.

then:

(a)What is the initial equilibrium price (P1)?

(b) What is the initial equilibrium quantity (Q1)?

(d) What is new equilibrium quantity (Q2)?

(e) What is initial consumer surplus(CS1)?

(f) What is initial producer surplus(PS1)?

(g) What is initial total surplus(TS1)?

(h) What is new consumer surplus(CS2)?

(i) What is new producer surplus(PS2)?

(j) What is new total surplus(TS2)?

(k) What is the welfare loss for consumers?

(l) What is the welfare loss for producers?

(m) What is the total welfare loss?

(n) What is the dead-weight loss for consumers?

(o) What is the dead-weight loss for producers?

(p) What is the total dead-weight los?

(q) What is tax revenue collected from consumers?

(r) What is tax revenue collected from producers?

(s) What is total tax revenue collected ?

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