Zar Island Gas Company is the sole producer of natural gas in the remote island country of Zar. The company's operations are regulated by the State Energy Commission. The demand function for gas in Zar has been estimated as: P = 1,000 − .2Q where Q is output (measured in units) and P is price (measured in dollars per unit). Zar Island's cost function is: TC = 300,000 + 10Q The firm's asset base is $4 million. In the absence of any government price regulation, determine Zar Island's optimal (i) output level, (ii) selling price, (iii) total profits, and (iv) rate of return on its asset base

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