A patent gave Sony a legal monopoly to produce a robot dog called Aibo​. The​ Chihuahua-size pooch robot can​ sit, chase​ balls, dance, and play an electronic tune. When Sony started selling the toy in July​ 1999, it announced that it would sell 3,000 Aibo robots in Japan for about ​$2,000 each and a limited litter of in the United States for $2,500 each. Suppose that​ Sony's marginal cost of producing Aibos is ​$500.Its inverse demand curve is Pj= 3500−0.5Qj in Japan and Pa =4500−Qa Solve for the equilibrium prices and quantities​ (assuming that U.S. customers cannot buy robots from​ Japan).     The equilibrium quantity in Japan is ____and the​ price, Pj is $____​

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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A patent gave Sony a legal monopoly to produce a robot dog called Aibo​. The​ Chihuahua-size pooch robot can​ sit, chase​ balls, dance, and play an electronic tune. When Sony started selling the toy in July​ 1999, it announced that it would sell 3,000 Aibo robots in Japan for about ​$2,000 each and a limited litter of in the United States for $2,500 each. Suppose that​ Sony's marginal cost of producing Aibos is ​$500.
Its inverse demand curve is
Pj= 3500−0.5Qj
in Japan and Pa =4500−Qa
Solve for the equilibrium prices and quantities​ (assuming that U.S. customers cannot buy robots from​ Japan).    
The equilibrium quantity in Japan is ____and the​ price, Pj is $____
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