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5. Consider the following $10 subsidy for producers. Figure 3: A Per-Unit Subsidy of $10 Price SUPPLY SUPPLY (With subsidy) ~

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Supply Supply (with Subidy Demand 30 40 1. quentity

a) Equilibrium occurs when demand equals supply. It occurs without subsidy when price is $40 and quantity traded is 30 units.

With susbidy, it occurs when price is $35 and quantity traded is 40 units.

Producer surplus with subsidy is sum of all portions of A + B + C + D + E whose sum is (1/2) * (40 - 0) * (50 - 10) = 800

b) Deadweight loss under subsidy is area of triangle K whose sum is (1/2) * (40 - 30) * (50 - 35) = 75

c) Under free trade, 30 units are traded in the market and equilibrium occurs when price is $40 and quantity traded is 30 units.

Consumer surplus under free trade is sum of portions of F + D whose sum is (1/2) * (70 - 40) * (30 - 0) = 450

Producer surplus under free trade is sum of portions of A + B + C whose sum is (1/2) * (40 - 10) * (30 - 0) = 450

Total surplus under free trade = Consumer surplus under free trade + Producer surplus under free trade

= 450 + 450 = 900

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