## Description

**Follow us on Google News - IGNOU SERVICE**

MEC-203 Solved Assignment English Medium 2023-24

MEC-203: QUANTITATIVE METHODS

Tutor Marked Assignment

Course Code: MEC-203

Asst. Code: MEC-203/TMA/2023-24

Total Marks: 100

Note: Answer all the questions.

Questions in Section A carry 20 marks each (to be answered in about 500 words each)

Questions in Section B carry 12 marks each (to be answered in about 300 words each).

Word limits do not apply to the numerical questions.

Section A

1. a) Explain the necessary and sufficient conditions in case of unconstrained optimisation.

b) Consider a consumer who buys two goods, x and y with utility function u(x, y) = 2√x + y. The consumer’s income is 20 and price of y is 4. Compute the optimal consumption bundle when the price of x is equal to 1 using constrained optimisation. (10 + 10 = 20)

2. With respect to the applications of dynamic optimisation, explain the optimal rate of extraction of exhaustible resources by monopoly.

Section B

3. What is a discontinuous function? Discuss the two types of discontinuous functions along with their diagrams.

4. Explain the concept of a stationary point and inflexion point. Is a stationary point always a point of inflexion? Why or why not? (6 +6 =12)

5. What do you understand by the term ‘joint distribution’ and ‘marginal distribution’? Discuss with the help of an example.

6.What is a sample? Explain with the help of an example. Discuss any two types of sampling techniques. (6 + 6 = 12)

7) Write short notes on the following: (3 X 4 = 12)

(i) One-tailed and two-tailed tests

(ii) One to one and onto functions

(iii) Hyperbola

(iv) Local minima

## Reviews

There are no reviews yet.