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Doc Brown thinks he can finally create a functional hoverboard. He estimates it will cost $400,000...

Doc Brown thinks he can finally create a functional hoverboard. He estimates it will cost $400,000 to set up a manufacturing plant to produce the hoverboard. Once the plant is built, the marginal cost of producing each hoverboard will be 100. If the demand for hoverboards is represented by the equation P= 500?Q, how many years of operating as a monopolist will Doc Brown need to recoup his fixed costs? (You can ignore time discounting.)

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