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115年 - [無官方正解]115 國立臺北大學_碩士班一般入學考試試題_企業管理學系甲組:經濟學#147741
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2. A firm in a perfectly competitive market faces a constant market price of $60. If the firm's Total Cost function is TC = 100 + 10Q + Q². To maximize profit, the firm should produce exactly ____(2)____ units.
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3. An investor, Joan, has a utility function U = W⁰·⁵, where W represents her total wealth. She is considering a risky investment where there is a 20% probability that her wealth will be $400 and an 80% probability that her wealth will be $100. To avoid the uncertainty of the investment and receive her expected wealth with certainty, the maximum risk premium Joan would be willing to pay is ____(3)____.
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4. A firm operates with a Fixed Cost of $100. Use the cost data provided below to determine the Average Total Cost (ATC) at an output of 5 units. | Output (Q) | Total Cost (TC) | Average Variable Cost (AVC) | Marginal Cost (MC) | | --- | --- | --- | --- | | 0 | $100 | -- | -- | | 4 | -- | $60 | -- | | 5 | -- | -- | $90 | The Average Total Cost (ATC) for producing 5 units is: ____(4)____
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Blanks (5)-(6) Memecoins are cryptocurrencies often created as jokes or based on internet trends (like Dogecoin, which started from a dog meme). Unlike stocks, anyone can create a new cryptocurrency in minutes with little cost or oversight. The 2025 crypto bull market reignited interest in memecoins. Some were legitimate projects, but many were scams. A common scam called a "rug pull" works like this: creators launch a token, promote it heavily on social media to attract buyers, then suddenly sell all their own tokens and disappear with the money—leaving investors holding worthless coins. The problem? Regular investors had no easy way to tell which projects were real and which were scams. Creators knew their own intentions, but buyers could not verify whether a project was trustworthy. As a result, buyers offered only average prices for all tokens. This made it hard for honest projects to compete, and many gave up—leaving the market flooded with scams and destroying overall trust. 5. Define asymmetric information and identify what specific information creators have that investors lack in the memecoin market. Answer in less than 5 sentences. ____(5)____
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6. Explain why honest crypto project creators might leave the market even if they want to sell, and how this leads to a "death spiral" in less than 5 sentences. ____(6)____
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