Please solve part (a).

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Question 4 ( 25 marks). In the Troubled Waters region, the delivery of water supply and waste water services is provided by Troubled Waters Utilities (TWU). The inverse demand curve is P(Q)=10Q, where P is measured in dollars. Under normal conditions, the marginal cost (i.e. the marginal cost of supplying water and waste water service) is constant and equal to 5 dollars, MC(Q)=5. (a) Calculate the socially optimal level of output (assuming no externalities) and the corresponding price. Compute the corresponding consumer surplus. ( 5 marks) When the dam levels are high, however, the experts at TWU estimate that water consumption reduces costs of preventing floods and associated damage. It is estimated that each extra unit of water consumption reduces those costs by 1 dollar. (b) Compute the efficient level of production when the dam level is high. Calculate the Pigouvian tax or subsidy required to achieve the efficient level of output. What is the deadweigbeloss acsociated to that production level? (explain briefly). (5 marks) In response ee the high level of the dam, instead of using taxes or subsidigs, the Governor of Troubled Waters has approved that consumers receive a fixed discount in their water bills (independent of the quastity of water that they consume). The discount shifts the inverse inverse demand curve to (c) Find the value of A for which the disopunt hliows the economy to attain the efficient level of water consumption. Use a graph to hion your solution. [Hint: your graph should show the initial inverse demand curve, the inverse demand curve with the discount, the marginal cost, the social marginal cost ( j is easier to include whe externality as a cost reduction) and the optimal level of produgtion.] (5 marks) (d) Suppose that the disgount is ineffective in shifting the demand, that is, A=10, so the inverse demand garve remains the same as without the discount. -ompute the deadweight loss in the market and show it in the graph (you can show this in theygraph of part (c) or draw a oew graph). (5 marks) (e) Suppose that the discount is very effective, that is, A is very large. Is there anr vevel of A for which this market would produce a quantity that generates larger deadweight loss than without the discount? If your answer is NO, explain why this is the case. If your answefis YES, then find the values of A for which the deadweight loss is larger than without discount. (5 marks) Question 4 ( 25 marks). In the Troubled Waters region, the delivery of water supply and waste water services is provided by Troubled Waters Utilities (TWU). The inverse demand curve is P(Q)=10Q, where P is measured in dollars. Under normal conditions, the marginal cost (i.e. the marginal cost of supplying water and waste water service) is constant and equal to 5 dollars, MC(Q)=5. (a) Calculate the socially optimal level of output (assuming no externalities) and the corresponding price. Compute the corresponding consumer surplus. ( 5 marks) When the dam levels are high, however, the experts at TWU estimate that water consumption reduces costs of preventing floods and associated damage. It is estimated that each extra unit of water consumption reduces those costs by 1 dollar. (b) Compute the efficient level of production when the dam level is high. Calculate the Pigouvian tax or subsidy required to achieve the efficient level of output. What is the deadweigbeloss acsociated to that production level? (explain briefly). (5 marks) In response ee the high level of the dam, instead of using taxes or subsidigs, the Governor of Troubled Waters has approved that consumers receive a fixed discount in their water bills (independent of the quastity of water that they consume). The discount shifts the inverse inverse demand curve to (c) Find the value of A for which the disopunt hliows the economy to attain the efficient level of water consumption. Use a graph to hion your solution. [Hint: your graph should show the initial inverse demand curve, the inverse demand curve with the discount, the marginal cost, the social marginal cost ( j is easier to include whe externality as a cost reduction) and the optimal level of produgtion.] (5 marks) (d) Suppose that the disgount is ineffective in shifting the demand, that is, A=10, so the inverse demand garve remains the same as without the discount. -ompute the deadweight loss in the market and show it in the graph (you can show this in theygraph of part (c) or draw a oew graph). (5 marks) (e) Suppose that the discount is very effective, that is, A is very large. Is there anr vevel of A for which this market would produce a quantity that generates larger deadweight loss than without the discount? If your answer is NO, explain why this is the case. If your answefis YES, then find the values of A for which the deadweight loss is larger than without discount