If the government provides a subsidy of 2000 per unit, the supply and demand functions will change. The new supply function can be written as Qs = 10,000 + 4P - 2000, where P is the price of the product and Qs is the quantity of the product that the company is willing to supply. The new demand function can be written as Qd = 50,000 - 4P + 2000, where Qd is the quantity of the product that consumers are willing to buy.

To find the equilibrium price and quantity, we can set the supply and demand functions equal to each other and solve for P and Q. In other words, we want to find values for P and Q that satisfy both equations simultaneously. This means that we want to find the values of P and Q such that the quantity of the product that the company is willing to supply is equal to the quantity of the product that consumers are willing to buy.

We can do this by substituting the new supply and demand equations into the original equation, Qs = Qd, and solving for P and Q. This gives us the following equation:

10,000 + 4P - 2000 = 50,000 - 4P + 2000

Solving for P, we get P = 27,500 / 8 = 3437.5.

To find the equilibrium quantity, we can substitute this value of P back into either the supply or demand equation and solve for Q. For example, if we substitute P = 3437.5 into the new supply equation, we get:

Qs = 10,000 + 4 * 3437.5 - 2000 = 45,000 - 2000 = 43,000

Therefore, the equilibrium quantity is 43,000 units.

In summary, after the government provides a subsidy of 2000 per unit, the equilibrium price of the product will be 3437.5, and the equilibrium quantity will be 43,000 units.