在例9.1中，计算了天然气价格控制带来的损益，发现无谓损失为56.8亿美元。这个结果建立在P=50美

元/桶的基础上。

(1)如果P=60美元/桶，天然气的自由市场价格是多少？如果价格上限为3美元/千立方英尺，无谓损失多大？

(2)石油价格应为多少，才会得到3美元的天然气自由市场价格？

In Example 9. 1 (page 290), we calculated the gains and losses from price controls on natural gas and found that there was a deadweight loss of $ 5.68 billion. This calculation was based on a price of oil of $50 per barrel.

a. If the price of oil were $ 60 per barrel，what would be the free - market price of gas？ How large a deadweight loss would result if the maximum allowable price of natural gas were $3. 00 per thousand cubic feet？

b. What price of oil would yield a free - market price of natural gas of $3. 00？