A monopolistic seller of rare oriental rugs discovers that 60% of the population is willing to pay $1,000 for a rug. The remaining 40% of the population is willing to pay $2000. Each rug costs $600 to produce. How much should the monopolist charge for each rug?

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1. A monopolistic seller of rare oriental rugs discovers that 60% of the population is willing to pay $1,000 for a rug. The remaining 40% of the population is willing to pay $2000. Each rug costs $600 to produce. How much should the monopolist charge for each rug?