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4. (* pts) A single-price monopolist produces pins, measured in pounds. Demand for pins is captured by P-1000-1002, where Preflects the price and Qreflects the market quantity. Marginal revenues are captured by MR 1000 - 200Q. Marginal costs are constant at 200. Total fixed costs are 500 4.1. (* pts) Identify the monopolists chosen quantity of pins. 4.2. (* pts) Identify the monopolists chosen price for pins $/lb 4.3.(* pts) Assume the chosen quantity is 5 and the chosen price is 50. Calculate the monopolists profits at the assumed quantity and price 4.4. Imagine the pin producer is convinced to make choices that achieve social efficiency. 4.4.1. (* pts) Identify the chosen quantity of pins lbs 4.4.2. (* pts) Identify the chosen price of pins $/lb 4.5. (* pts) Assume theinitially chosen quantity is 5 and price is 50 and the socially efficient quantity is !9 and price is 10. Calculate the deadweight loss of the monopolists initial choices.

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