At a world price of Pw, the producer surplus equals areas B and C.Here's the reasoning:Producer surplus is the difference between what producers are willing to supply and the price they actually receive.In the given figure, the world price Pw intersects the domestic supply curve at Qw.Producers are willing to supply Qwd worth of goods at the price Pd, but at the world price Pw, they can only supply Qwd.Therefore, the producer surplus is the area between the domestic supply curve and the world price Pw from Qwd to Qw, which is area B.Additionally, there is a gap between the domestic quantity demanded (Qw) and the domestic quantity supplied (Qwd). This gap will be filled by imported goods.The imported goods will be supplied at the world price Pw, and the domestic producers will receive the same price Pw for the goods they supply.Therefore, the domestic producers will have a producer surplus for the goods they supply at the world price Pw, which is area C.Thus, the total producer surplus at a world price of Pw is areas B and C.