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5. Each firm in a competitive market has a cost function of C(q) = q -q + q . There are an unlimited number of

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5. Each firm in a competitive market has a cost function of C(q) = q -q + q . There are an unlimited number of potential firms in this market. The market demand function is given by Q=24- p . Determine the long run equilibrium price, quantity per firm, market quantity and number of firms. How do these values change is a tax of $1 per unit is collected from each firm? 6. Assume that the inverse demand function for cheese is Q=100-10p and the supply curve is Q=10p. a. [Easy] What are the effects of a specific tax of $1 per unit on the equilibrium quantity and price, government tax revenue, consumer surplus, producer surplus, welfare and DWL? b. [Harder] What are the effects of a specific subsidy (negative specific tax) of $1 per unit on the equilibrium quantity and price, government tax revenue, consumer surplus, producer surplus, welfare and DWL? c. [Hard] The government, instead of a tax or subsidy, imposes a price support (minimum price) of $6. The way this is implemented is via a deficiency payment. This means the government will guarantee producers a price of $6 and the producers choose their output accordingly. They then sell that output to consumers at whatever price consumers are willing to pay for that total output (not $6!!!). The government pays producers the difference between the $6 dollars and the price consumers are willing to pay for all units produced. This payment is called the deficiency payment. What is the quantity supplied, the price that clears the market and the deficiency payment? What effect does this program have on consumer surplus, producer surplus, welfare and deadweight loss? d. [Medium hard] Now instead of any of the policies above, the government imposes a price ceiling of $3. That is it. Price is not allowed to rise above $3. How does equilibrium change (price and quantity)? What effect does this price ceiling have on consumer surplus, producer surplus and deadweight loss

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