IGNOU MAEC MEC 101 SOLVED ASSIGNMENT

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MEC 101 2025 2026 - English

MEC 101: MICRO ECONOMIC ANALYSIS
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Course Code: MEC-101
Assignment Code: Asst/TMA/2025-26
Total Marks: 100

Note: Answer all the questions

SECTION A

Answer the following questions in about 700 words each. The word limits do not apply in case of numerical questions. Each question carries 20 marks.

1. a. Consider a pure-exchange economy of two individuals (A and B) and two goods (X and Y) Individual A is endowed with 5 units of good X and 3 units of good Y, while individual B with 3 and 4 units of goods X and Y respectively. Assuming utility functions of individuals A and B to be UA=XAYA^2 and UB=XBYB where Xi and Yi for i= {A, B} represent individual i's consumption of good X and Y respectively, what will be the set of Pareto optimal allocation in this economy?

b. Determine the conditions that need to be fulfilled by an allocation to be termed as Pareto efficient allocation.

2. Consider a Cobb-Douglas utility function

U (X, Y) = X^1/2 Y^1/2

Where X and y are the two goods that a consumer consumes at per unit prices of Px and Py respectively. Assuming the income of the consumer to be ₹M, determine:

a. Marshallian demand function for goods X and Y.

b. Indirect utility function for such a consumer.

c. The maximum utility attained by the consumer where Px= ₹ 5, Py= ₹ 5 and M= ₹ 5000.

d. Derive Roy’s identity.

Certainly! Here is the text from the image, formatted as requested:

# PART II
**Answer the following questions in about 400 words each. Each question carries 12marks.**

If U (X₁, X₂) = 10x₁⁰³ x₂⁰⁷, M=200, p₁=5 and p₂=2, set up the lagrange function and derive the simplest form of 

4. a.) Distinguish between Strategic (or Normal Form) and Extensive Form Games.

b.) Solve the following game using iterated elimination of strictly dominated strategies.

I can help with that! Here's the text from the image, formatted as closely as possible:

b.) Solve the following game using iterated elimination of strictly dominated strategies:

		Player 2
		Left	Middle
Player 1	Up	(1,0)	(1,2)
	Down	(0,3)	(0,1)

5. a) Explain the expected utility theory.

b) Two players have the opportunity to participate in a gamble with two possible outcomes as:

Outcome	Probabilities
Rs 10	0.3
Rs 30	0.7

The players’ utility functions for the money outcomes, are as follows:
Player 1: U_1(M) = √(M + 6) Player 2: U_2(M) = (M + 5)²

Determine the difference in the amounts that you must offer to these two players.

6. a.) What is excess capacity and how is it related to the model of monopolistic competition?

b) Demand function and supply function are given as P=25-X² and P=2X+1 respectively, find out producer surplus and consumer surplus.

7. Write short notes on following:
a) Compensated Demand Curve
b) Homogeneous and Homothetic production functions
c) Arrow prat measure of risk averseness
d) Pooling and separating equilibrium

 

 

MEC 101 2025 2026 - Hindi

एमईसी: 101: व्यष्टि आर्थिक विश्लेषण
शिक्षक मूल्यांकित सत्रीय कार्य (टीएम्ए)

पाठ्यक्रम कोड: एम.ई.सी. 101
सत्रीय कार्य कोड: एफ़एसटी/टीएमए/2025-26
कुल अंक: 100

नोट : सभी प्रश्नों के उत्तर दें।

खंड - क
प्रत्येक प्रश्न का उत्तर लगभग 700 शब्दों में देना है। इस खंड का प्रत्येक प्रश्न 20 अंक का है। संख्यात्मक प्रश्नों पर शब्द सीमा लागू नहीं होती।

1. (क) एक विशुद्ध विनिमय अर्थव्यवस्था में दो व्यक्ति (A और B) तथा दो ही वस्तुएँ (X और Y) हैं। प्रारंभ में व्यक्ति A के पास वस्तु X की 5 इकाइयाँ तथा वस्तु Y की 3 इकाइयाँ हैं, जबकि व्यक्ति B के पास वस्तु X और Y की क्रमश: 3 और 4 इकाइयाँ हैं। मान लीजिए कि व्यक्ति A और B के उपयोगिता फलन UA=XAYA² तथा UB=XB² YB हैं, जहाँ Xi और Yi, क्रमश: i={A, B} द्वारा व्यक्ति A और B के X और Y के उपभोग (i) दर्शाए गए हैं। इस अर्थव्यवस्था में पेरेटो अभीष्ट आबंटन का समूह क्या होगा?

(ख) उन शर्तों का निर्धारण कीजिए जिनके अधीन किसी आबंटन को पैरेटो अभीष्ट कहा जा सकता है।

2निम्नलिखित कॉब-डगलस उपयोगिता फलन पर विचार कीजिए:

U (x,y) = X^(1/2) Y^(1/2)

जहाँ X और Y दो वस्तुएँ हैं जिनका उपभोग उपभोक्ता क्रमशः Px और Py की प्रति इकाई कीमतों पर करता है। उपभोक्ता की आय ₹ M मानते हुए, निर्धारित कीजिए:

(क) वस्तुओं x और y के लिए मार्शलिय माँग फलन

(ख) उपभोक्ता का अप्रत्यक्ष उपयोगिता फलन

(ग) उपभोक्ता द्वारा प्राप्त अधिकतम उपयोगिता जहाँ Px = ₹5, Py = ₹5 और M=₹5000 है।

(घ) रॉय की सर्वसमिका (Identity) की व्युत्पत्ति कीजिए।

खंड – ख

प्रत्येक प्रश्न का उत्तर लगभग 500 शब्दों में देना है। इस खंड का प्रत्येक प्रश्न 12 अंक का है। परिमाणात्मक प्रश्नों पर शब्द सीमा लागू नहीं होती।
यदि U (X!, Xz) = 10x₁⁰.³ x₂⁰.⁷, M=200, p₁=5 और p₂=2 तो लैग्रेंज फंक्शन सेट करें और

 का सरलतम रूप प्राप्त करें।

Certainly! Here's the table you provided:

	खिलाड़ी 2
		बाएँ	मध्य
खिलाड़ी 1	ऊपर	(1,0)	(1,2)
	नीचे	(0,3)	(0,1)

Certainly! Here's the table you provided:

परिणाम (Outcome)	संभावनाएँ (Probabilities)
Rs 10	0.3
Rs 30	0.7

खिलाड़ियों के पैसे के परिणामों के लिए उपयोगिता कार्य निम्नानुसार है:

खिलाड़ी 1:

खिलाड़ी 2:

इन दोनों खिलाड़ियों को आपके द्वारा दी जाने वाली राशि में अंतर निर्धारित करें।

6

(क) अतिरिक्त क्षमता क्या है और यह किस प्रकार से एकाधिकारी स्पर्धा प्रतिमान से संबंधित रहती है?

(ख) मांग और आपूर्ति फलन क्रमशः P-25-X2 तथा P=2X+1 हैं, उपभोक्ता तथा उत्पादक के अतिरेक आंकलित कीजिए।

7. निम्नलिखित पर संक्षिप्त टिप्पणीयाँ लिखिएः

(क) मुआवजा मांग वक्र (Compensated Demand Curve)

(ख) सजातीय एवं समस्थित उत्पादन फलन

(ग) जोखिम विरतिका ऐरो-प्रैट मापक

(घ) संयोजनकारी एवं वियोजनकारी साम्यावस्थाएँ

 

 

 

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