Please answer step by step and show all the detailed procedures including the rough works. Everything. Thank you very much! Will rate helpful!

The market for a particular consumer good has a demand function given by:

The market for a particular consumer good has a demand function given by: q = 24 - p and supply given by p = q + q2, where q is the quantity and p is the price. Round final answer to 2 decimal places when submitting solution, use decimal numbers only. Q14 - 1Q1: In equilibrium, what is the consumer's surplus? Q15 - 1Q2: In equilibrium, what is the producer's surplus? Q16 - 1Q3: If the government decided to set the price at $12 but allowed the suppliers to determine quantity they are willing to supply, what would the new consumer's surplus be? Q17 - 1Q4: If the government decided not to set the price, but instead imposed a tax on production of $1 per unit, effectively increasing the cost to supply by $1 dollar per unit for every level of quantity supplied, what would the new equilibrium quantity be?