### Previous Year Paper Solution | Indian Economic Service Exam 2015 | General Economics - I

#### Q. No. 1 (a) - State and explain Kaldor - Hicks compensation principle.

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#### Q. No. 1 (b) - The demand function $${Q_1} = 50 - {P_1}$$ intersects another demand function $${Q_2}$$ at price P = 10. The elastcity of demand for $${Q_2}$$ is six times larger than that of $${Q_1}$$ at that point. Find out the demand function for $${Q_2}$$.

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#### Q. No. 1 (c) - Suppose the Government as a monopolist firm produces electricity and sells it to people at price per unit 'p'. The demand function for the electricity, of the people is $$q = \alpha {p^{ - \beta }}$$. If the elasticity of demand for electricity in absolute sense is found to be 0.894, should the Government increase the price per unit to increase the revenue? Justify your answer.

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#### Q. No. 1 (e) - Define consumer's and producer's surplus Given the demand function $$P = 113 - {q^2}$$ and the supply function $$P = {(q + 2)^2}$$ under perfect competition, find out the consumers' surplus and produers' surplus.

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#### Q. No. 1 (f) - Elucidate the statement that no economic rent is earned when the supply of a factor is perfectly elastic.

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#### Q. No. 1 (g) - Explain the concept of social welfare. Does perfect competition ensure maximum social welfare?

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#### Q. No. 1 (h) - Show that in a translog production function, elasticity of substitution is not constant.

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#### Q. No. 1 (i) - Define and distinguish between level of significance and confidence inserval. What do you mean by 'power of the test'?

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#### Q. No. 1 (j) - Find out the total demand for industries 1, 2, and 3, if the coefficient matrix A and final vector B are given as $A = \left[ {\begin{array}{*{20}{c}}{0 \cdot 3}&{0 \cdot 4}&{0 \cdot 1}\\{0 \cdot 5}&{0 \cdot 2}&{0 \cdot 6}\\{0 \cdot 1}&{0 \cdot 3}&{0 \cdot 1}\end{array}} \right]{\rm{ and }}\,\,\,B = \left[ {\begin{array}{*{20}{c}}{20}\\{10}\\{30}\end{array}} \right]$

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#### Q. No. 1 (k) - Explain the distinction between the parametric and non-paraetric tests.

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#### Q. No. 3 - Define Linear homogenous production function and give an example. Show that in the case of the linear homogenous production function the expansion path must be a straight line passing through the origin.

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#### Q. No. 4 - How can you graphically derive the long-run marginal cost curve from the short-run marginal cost curves?

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#### Q. No. 5 - What is meant by excess capacity? Why is it bad? Are there any benefits of the excss capacity associatedd with monopolistic competition?

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#### Q. No. 6 - How is the monopoly power measured? State Lerner's measure of degree of monopoly power. Show that the degree of monopoly power is te inverse of the price elasticity of demand.

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#### Q. No. 7 - Derive the long-run supply curve in the constant cost industry under perfect competition. Under what conditions can the long-run supply curve of a competitive industry slope downward?

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#### Q. No. 8 - Consider the competitive market with excise tax such that the suppler receives the price netted of tax. Answer the following questions. (i) What is the equilibrium price in the presence of tax? (ii) Under which condition will the price be undefined? (iii) Show that the market price is totally unaffected in the case of perfectly inelastic supply curve. (iv) If the tax yield (T) is a fraction (t > 0, which is the rate of tax) of quantity (q), find out the tax yield and the conditions under which tax yield varies directly with the rate of tax (t). (v) Find out the value of the rate of tax such that the tax yield is maximum.

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#### Q. No. 9 - What do you mean by collusive oligopoly? Distinguish between cartel and price-leadership with respect to the determination of price and quantity. Write a note on barometric price-leadership model.

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#### Q. No. 10 - Consider a simple model of classical regression as $${Y_i} = \beta {X_i} + {u_i},$$ where $${u_i}$$ stands for random disturbance term with the standard assumptions and $${u_i} \sim N(0,\,\,{\sigma ^2})$$, and $${X_i}$$ is non-stochastic and i = 1, 2,..., n. (a) Find out the OLS estimator for $$\beta$$, say $${\hat \beta _{OLS}}$$. (b) Show that the OLS estimator for $$\beta$$ is BLUE. Prove ab-initio. (c) Prove that $$\bar \beta = \frac{{\bar Y}}{{\bar X}}$$, where $$\bar Y$$ and $$\bar X$$ are means respectively, is unbiases but less efficient estimator of $$\beta$$ than $${\hat \beta _{OLS}}$$.

See Section 6.1 of Chapter - 6 and Appendix - 6A of Basic Econometrics 5th edition by Damodar N. Gujarat and Dawn C. Porter

#### Q. No. 11 (a) - Consider the Leontief static input-output model along with its assumptions. How can you confirm that the model is either open or closed? State the fundamental objective of Leontief static open input-output model.

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#### Q. No. 11 (b) - State the Hawkinsk-Simon condition and explain its economic meaning and significance.

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#### Q. No. 11 (c) - Derive the consumption possibility locus.

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