Consider the perfectly competitive market for potatoes with demand given by P = 30–2Q and supply given by P = 10 + 2Q. The government is considering implementing a per unit subsidy $8 (paid to farmers). What is the incidence of this subsidy? Group of answer choicesThe incidence of this subsidy to buyers is $2 and to sellers is $6.The incidence of this subsidy to buyers is $3 and to sellers is $5.The incidence of this subsidy to buyers is $0 and to sellers is $8.The incidence of this subsidy is equally distributed between the buyers and the sellers.None of the other answers are correct
Question
Consider the perfectly competitive market for potatoes with demand given by P = 30–2Q and supply given by P = 10 + 2Q. The government is considering implementing a per unit subsidy 2 and to sellers is 3 and to sellers is 0 and to sellers is $8.The incidence of this subsidy is equally distributed between the buyers and the sellers.None of the other answers are correct
Solution
To find the incidence of the subsidy, we first need to adjust the supply equation to account for the subsidy. The new supply equation will be P = 10 + 2Q - 8 (since the subsidy effectively reduces the cost of production for the suppliers).
This simplifies to P = 2 + 2Q.
Next, we set the demand equation equal to the new supply equation to find the equilibrium quantity (Q) and price (P).
So, 30 - 2Q = 2 + 2Q.
Solving for Q gives Q = 7.
Substituting Q = 7 into the demand equation gives P = 30 - 2*7 = 16.
Substituting Q = 7 into the original supply equation (without the subsidy) gives P = 10 + 2*7 = 24.
The difference between these two prices is the incidence of the subsidy. So, the incidence of the subsidy to buyers is 24 - 16 = 0.
Therefore, the correct answer is "The incidence of this subsidy to buyers is 0."
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