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Assume a firm has just introduced a new line of ceramic insulators for which it has received patent protection, effectively granting the company monopoly status in the industry. The company's revenue and cost relations are given as:
TR = $300Q - $0.001Q2
TC = $9,000,000 + $20Q + $0.0004Q2
where TR is total revenue, Q is output, and TC is total cost.
a) As a monopolist, calculate this firm's optimal output (Q) and price per unit (P).b) Calculate the level of total profit at this output level and also the value of per unit profit at this output level.
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Maggie's utility function is and her income is $5000. Then her MRS at generic bundle (x1, x2) is 50-0.25x1. Commodity 2 is a composite good, and hence its price is unity.
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