Gce Model Questions Vol1 2023 Economics Question 45

Practice objective / multiple choice question 45 from the 2023 Gce Model Questions Vol1 Economics examination.

Gce Model Questions Vol1 2023 Economics Objective / Multiple Choice Medium Difficulty
Question 45 GCE_MODEL_QUESTIONS_VOL1 • 2023 • ECONOMICS • objective

The market for a good is described by demand \(Q_d = 120 - 2P\) and supply \(Q_s = -20 + P\), where \(P\) is the price paid by consumers (including any tax). The government imposes a specific tax \(t\) per unit that is paid by producers, shifting the supply curve upward by \(t\).\n\n(a) Derive the expression for tax revenue \(R(t)\) as a function of \(t\).\n(b) Find the tax rate \(t\) that maximises revenue and compute the maximum revenue.\n(c) Using the revenue‑maximising tax, calculate the dead‑weight loss (DWL) as a fraction of the maximum revenue.

Answer Options

A. Revenue‑maximising tax t = £20 per unit; maximum revenue = £300.00; DWL = £150.00 (≈50 % of revenue)
B. Revenue‑maximising tax t = £25 per unit; maximum revenue = £250.00; DWL = £125.00 (≈50 % of revenue)
Correct Answer C. Revenue‑maximising tax t = £20 per unit; maximum revenue = £266.67; DWL = £133.40 (≈50 % of revenue)
D. Revenue‑maximising tax t = £15 per unit; maximum revenue = £225.00; DWL = £112.50 (≈50 % of revenue)
Correct Answer
C
Correct Option:
Revenue‑maximising tax t = £20 per unit; maximum revenue = £266.67; DWL = £133.40 (≈50 % of revenue)

About This Question

This is Gce Model Questions Vol1 2023 Economics Question 45. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Economics examination.

Difficulty level: Medium .

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