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Assume that you heat your home with a heat pump whose heat exchanger is at Tc=2∘C, and which maintains the baseboard r...

Assume that you heat your home with a heat pump whose heat exchanger is at Tc=2∘C, and which maintains the baseboard radiators at Th=47∘C. If it would cost $1000 to heat the house for one winter with ideal electric heaters (which have a coefficient of performance of 1), how much would it cost if the actual coefficient of performance of the heat pump were 75% of that allowed by thermodynamics?

Express the cost in dollars.

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