Please Help me with this question!!

IE.,'guest:ion 2. {4 points] The market demand for bicycle helmets is given by D{P} = Q 4F and the market supply is characterized by SiP} = P II). In both expressions, P is the price per unit. The government introduees a per unit subsidy of 5 per helmet, that is paid out to the producer for each sale of helmets. [a] 1ill-lhat is the equilibrium price and quantity before the government intervenes in the market? [b] 'What is the equilibrium price and quantity after the government intervenes in the market imposing a per subsidy S 3: ? Hint: You have to nd the equilibrium for all relevant levels of S. {e} lCalculate changm in consumer surplus? producer surplus and vl."ellF'a.re1 as a function of subsidy 3, due to the introduction of the subsidy. What welfare conclusionfs] do you draw? {d} Illustrate graphically