Dead-weight loss is $30.
Explanation: Equilibrium in a goods market is given by,
Substituting this value of P into the demand equation we can find the equilibrium quantity.
P=$3, Q=2000 without the subsidy.
At this quantity, value of government subsidy is
Supply with subsidy is Qs= 1000(P+0.30) - 1000
Equilibrium is given by,
Qd= Qs
8000 - 2000P = 1000P + 300 - 1000
8700 = 3000P
P=$2.9 is price paid by consumers, but the sellers receive P + 0.30 = $3.2 per unit.
Q= 2,200