Answer :
The correct answer is option (D) 1.5 solar panels for each heat pump. Here is the explanation: Given, In Anarres, the production of 1 heat pump requires 3 hours of labor input.
Production of 1 solar panel requires 2 hours of labor input. In Urras, Production of 1 heat pump requires 6 hours of labor input. Production of 1 solar panel requires 3 hours of labor input. The opportunity cost of production of 1 heat pump in Anarres is equal to the cost of production of 2 solar panels. The opportunity cost of production of 1 solar panel in Anarres is equal to the cost of production of 1.5 heat pumps. The opportunity cost of production of 1 heat pump in Urras is equal to the cost of production of 0.5 solar panels. The opportunity cost of production of 1 solar panel in Urras is equal to the cost of production of 2 heat pumps. Therefore, Anarres should export solar panels to Urras and Urras should export heat pumps to Anarres. To get the mutually beneficial exchange rate, we need to see how much labor time is required to produce one unit of each good in both countries.
In Anarres, 1 heat pump costs 3 hours of labor while 1 solar panel costs 2 hours of labor. Thus, the opportunity cost of producing 1 solar panel in Anarres is 1.5 heat pumps. In Urras, 1 heat pump costs 6 hours of labor while 1 solar panel costs 3 hours of labor. Thus, the opportunity cost of producing 1 solar panel in Urras is 2 heat pumps.Now we can see that the opportunity cost of producing one heat pump in Anarres is lower than that in Urras, while the opportunity cost of producing one solar panel is higher in Anarres. So, Anarres should specialize in producing solar panels and Urras should specialize in producing heat pumps. To make trade mutually beneficial, the exchange rate should lie between 1.5 and 2 solar panels per heat pump. Hence, the valid terms of trade is 1.5 solar panels for each heat pump.
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