The supply of headphones is linear and upward sloping, and the demand for headphones is linear and downward sloping. Suppose the
government imposes a per-unit tax in the market for headphones. In this market, the tax decreases consumer surplus by $4,000.00, and it decreases producer surplus by $6,800.00. The tax decreased the equilibrium quantity of the good by 700.00 headphones , and it generated a deadweight loss of $2,800.00. The tax revenue generated by this tax is?
1 answer:
Answer:
8,000
Explanation:
Initially, the market is at equilibrium E1: P = P1; Q = Q1
Assume that the tax is imposed, the market will move to when Q = Q2; the price buyers pay is greater than P1, the price producers receive is less than P1.
We have: <em>Price buyers pay - Price producers receive = Tax</em>
As the tax decreases the equilibrium quantity by 700 headphoes
=> Q1 - Q2 = 700
=> Q2 = Q1 - 700
=> Q1 + Q2 = Q1 + Q1 - 700 = 2Q1 - 700
Before tax:
+) the producer surplus (PS) is equal to the area formed by supply curve S, price line P1 and the vertical axis
=> PS1 = Area of BE1P1
+) the consumer surplus (CS) is equal to the area formed by demand D, price line P1 and the vertical axis
=> CS1 = Area of AE1P1
=> The wellness before tax = CS1 + PS1 = Area of AE1B
After tax:
+) the producer surplus (PS) is equal to the area formed by supply curve S, price line (Price producers receives) and the vertical axis
=> PS2 = Area of BDE
+) the consumer surplus (CS) is equal to the area formed by demand D, price line (price buyers pay) and the vertical axis
=> CS2 = Area of ACF
+) The Tax revenue = Tax * Q2 = (Price buyers pay - Price producers receive) * Q2 = CD * DE = Area of CFDE
=> The wellness after tax = PS2 + CS2 + Tax Revenue = BDE + ACF + CDEF
=> Deadweight loss = Wellness before Tax - Wellness after tax = Area of EFE1 = 2,800
The tax decreases consumer surplus by $4,000.00, and it decreases producer surplus by $6,800.00
So that:
+) CS1 - CS2 = 4,000
=> Area of AE1P1 - Area of ACF = Area of CFE1P1 = 4,000
+) PS1 - PS2 = 6,800
=> Area of BE1P1 - Area of BDE = 6,800
=> Area of EDP1E1 = 6,800
=> Area of CFE1P1 + Area of EDP1E1 = 4,000 + 6,800
=> Area of CFE1ED = 10,800
Area of CDEF + Area of EFE1 = Area of CFE1ED = 10,800
=> Area of CDEF + 2,800 = 10,800
=> Area of CDEF = 8,000
=> Tax revenue = 8,000
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Answer:
"$1,673,750" is the appropriate answer.
Explanation:
The given values in the question are:
Applied overhead,
= $666,250
Actual overhead,
= $650,000
Unadjusted cost,
= $1,690,000
Now,
The overapplied overhead will be:
=
=
= ($)
hence,
The goods sold's adjusted cost will be:
=
=
= ($)