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Let QD = 80 − 20P be the demand function for cigarettes and let QS =10P − 10 be the supply. Suppose the government introduces a specific tax of τ = 1 to belevied on the producers• Obtain the new supply curve

Question

Let QD = 80 − 20P be the demand function for cigarettes and let QS =10P − 10 be the supply. Suppose the government introduces a specific tax of τ = 1 to belevied on the producers• Obtain the new supply curve

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Solution

The new supply curve can be obtained by incorporating the tax into the existing supply function. The tax will increase the cost of production, which will be reflected in the supply curve.

The original supply function is QS = 10P - 10.

When a tax of τ = 1 is introduced, the producers will want to cover this cost by effectively increasing the price.

So, the new supply function will be QS = 10(P + τ) - 10 = 10P + 10 - 10 = 10P + 10.

Therefore, the new supply curve after the tax is QS = 10P + 10.

This problem has been solved

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