The Market for Used Sea Kayaks Has Both a High-Quality

Essay

The market for used sea kayaks has both a high-quality and low-quality variety. High-quality kayaks are valued at $3,000 and low-quality ones at $800. Supply of used high-quality kayaks is Q_H = 0.5P_H - 1,000, and the supply of used low-quality kayaks is Q_L = P_L - 500. Potential buyers cannot distinguish between a high-quality and a low-quality used kayak. Buyers believe that only 3 of 10 used kayaks are high-quality. What are buyers willing to pay and how many used sea kayaks will be sold?