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Market Price in intervention

Let’s take a perfectly competitive market in which the market demand curve is provided by Qd = 20 − 2Pd and the market supply curve is provided by Qs = 2Ps.

a) Determine the equilibrium price and quantity in the lack of government intervention.

b) Assume that the government obliges a price ceiling of $3 per unit. How much is supplied?

c) Assume that, as an alternative, the government obliges a production quota restricting the quantity supplied to 6 units. Determine the market price beneath this kind of intervention? Is the quantity supplied beneath the price ceiling bigger than, less than, or similar as the quantity beneath the production quota?

E

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a) Letting P = Pd = Ps stand for the market price in the lack of government intervention, we encompass: 20 – 2P = 2P => P = 5. Therefore the equilibrium quantity is 10 units.

b) The quantity supplied beneath a price ceiling of $3 per unit is 6 units.

c) The market-clearing price whenever a production quota of 6 is obliged is provided by 6 = 20 – 2P or P = 7.

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