Question 1 (a) Consider a group of people, and consider the relation: "more intelligent than". Is this relation reflexive? (b) Explain the statement that averages are preferred to extremes when an individual's preferences are convex. (c) Explain how the imposition of a quantity tax in a competitive market affects the consumers' and producers' surpluses. (d) Show that the production function, y = ?/5x22/3, exhibits increasing returns to scale. (e) A firm's average cost function is given by 8(y + 9/y), where y is output. Find the firm's marginal cost for the output level at which its average cost is minimised.

ENGR.ECONOMIC ANALYSIS
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Question 1
(a) Consider a group of people, and consider the relation: "more intelligent than". Is this
relation reflexive?
(b) Explain the statement that averages are preferred to extremes when an individual's
preferences are convex.
(c) Explain how the imposition of a quantity tax in a competitive market affects the
consumers' and producers' surpluses.
2/5,
(d) Show that the production function, y = xx,2/3 , exhibits increasing returns to scale.
(e) A firm's average cost function is given by 8(y + 9/y), where y is output. Find the firm's
marginal cost for the output level at which its average cost is minimised.
Transcribed Image Text:Question 1 (a) Consider a group of people, and consider the relation: "more intelligent than". Is this relation reflexive? (b) Explain the statement that averages are preferred to extremes when an individual's preferences are convex. (c) Explain how the imposition of a quantity tax in a competitive market affects the consumers' and producers' surpluses. 2/5, (d) Show that the production function, y = xx,2/3 , exhibits increasing returns to scale. (e) A firm's average cost function is given by 8(y + 9/y), where y is output. Find the firm's marginal cost for the output level at which its average cost is minimised.
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