Analysis Of Equilibrium And Socially Optimal Price And Quantity In a Perfectly Competitive Market With Externalities

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Analysis of Equilibrium and Socially Optimal Price and Quantity in a Perfectly Competitive Market with Externalities Consider the perfectly competitive market for a special type of computer memory chip with the following demand and supply functions: • Demand: Qd=7,000−5PQ_d = 7,000 - 5P • Supply: Qs=−2,000+10PQ_s = - 2,000 + 10P Where PP represents the price in dollars, and QQ represents the quantity. Each computer chip produced results in a pollution cost of 10 cents per chip. Based on the above functions and the environmental impact: 1. Determine the equilibrium price (Pe) and quantity (Qe) in the absence of the external cost. Show the calculations and explain the process. 2. Identify the socially optimal price and quantity by considering the pollution cost of $0.10 per chip. Explain how the pollution cost affects the market price and quantity, and discuss whether the equilibrium price and quantity remain unchanged or if adjustments are needed. 3. Plot the demand and supply curves , indicating both the equilibrium and socially optimal price and quantity on the graph. Use Excel or any other graphical tool to assist in creating the plot. Word count requirement : 500 - 600 words. Please ensure all calculations are clearly shown and the reasoning behind each step is well explained.
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