economics
There is a concern that carbon emissions that are a byproduct of the burning of coal and other fuels contributes to global warming. One proposed solution is to tax the use of these fuels based on their carbon content. The following table gives information on the demand and supply of coal: Price ($/ton) 400 350 300 250 200 Quantity demanded 10 12 14 16 18 Quantity supplied 18 16 14 12 10 What will be the free-market price and quantity, and what will be the price and quantity if the government requires suppliers to pay a $100 tax for each ton of coal produced?
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Given information:
Price ($/ton) | Quantity demanded | Quantity supplied |
400 | 10 | 18 |
350 | 12 | 16 |
300 | 14 | 14 |
250 | 16 | 12 |
200 | 18 | 10 |
Equlibrium ocuurs when quanity demanded is equal to quantity supplied so free market equilibrium occurs at price $300/ton and equilibrium quanitity is 14 tons.
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If government requires suppliers to pay a tax of $100 per ton then the supply curve shift to the left by this amount, so amount supplied at $100 previously will now be supplied at $200.
Price ($/ton) | Quantity supplied after tax of $100/unit | Quantity demanded |
500 | 18 | 6 |
450 | 16 | 8 |
400 | 14 | 10 |
350 | 12 | 12 |
300 | 10 | 14 |
250 | 8 | 16 |
200 | 6 | 18 |
After tax equilibrium occurs where quantity demanded is equal to quantity supplied, Equlibrium price after tax = $350/ton and equlibrium quantity is 12 tons
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