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What is the price per unit that producers receive after the subsidy?

Economics

ScanSolve AI Answer

Answer

\mathbf{\4}$

Step-by-step solution

3 steps
  1. Identify the new equilibrium after the subsidy.

    The original supply curve is S, and the demand curve is D. The subsidy shifts the supply curve to S1. The new equilibrium is the intersection of S1 and D.
    From the diagram, the new equilibrium occurs at a quantity of 8 (000 tons) and a price of $2.

  2. Determine the price consumers pay and the total subsidy per unit.

    At the new equilibrium, consumers pay a price of 2perunit.Thetotalsubsidyperunitistheverticaldistancebetweentheoriginalsupplycurve(S)andthenewsupplycurve(S1)atthenewequilibriumquantityof8(000tons).Ataquantityof8(000tons),thepriceontheoriginalsupplycurveSis2 per unit. The total subsidy per unit is the vertical distance between the original supply curve (S) and the new supply curve (S1) at the new equilibrium quantity of 8 (000 tons). At a quantity of 8 (000 tons), the price on the original supply curve S is 4. At a quantity of 8 (000 tons), the price on the new supply curve S1 is 2. The subsidy per unit is the difference between these two prices: $$ \text{Subsidy per unit} = \4 - $2 = $2 $$

  3. Calculate the price producers receive.

    Producers receive the price paid by consumers plus the per-unit subsidy.

    Price producers receive=Price consumers pay+Subsidy per unit\text{Price producers receive} = \text{Price consumers pay} + \text{Subsidy per unit}

    Price producers receive=$2+$2=$4\text{Price producers receive} = \$2 + \$2 = \$4

    The price per unit that producers receive after the subsidy is \boxed{\mathbf{\4}}$.

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