Class 12 CBSE Applied Maths Determinants Exercise 4.9

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Exercise 4.1 Exercise 4.2 Exercise 4.3 Exercise 4.4 Exercise 4.5 Exercise 4.6 Exercise 4.7 Exercise 4.8 Case Study

Q1. For the two sector economy input-output table is given below:

(i) Find the technology matrix.
(ii) If the new demands are 18 and 44 units for the industries I and II respectively, find the gross output for each industry.

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Q2. Given the following transaction matrix, find the gross output to meet the final dem and of 200 units of agriculture and 800 units of industry.

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Q3. In an economy there are 2 industries P and Q and the following tables gives the input output details :

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Q4. The following inter-industry transaction table was constructed for economy of the year 2018 :

Construct the technology matrix showing the direct requirement. Check the viability of the system using Hawkins Simon conditions.

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Q5. The input-output coefficient matrix of an economic system of two industries is

Test whether the system is viable as per Hawkins-Simon conditions.

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Q6. Find the demand matrix which is consistent with technology matrix A= the output matrix X = Also test Hawkins-Simon conditions for the viability of the system.

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Q7. A hypothetical economy produces only two commodities X and Y. The two commodities serve as intermediate input in each other’s production. To produce one unit of X, 0.6 unit of X and 0.1 unit of Y are needed. Similarly, to produce one unit of Y, 0.7 unit of X and 0.4 unit of Y are needed. If economy requires 100 units of X and 50 units of Y for final consumption, find the gross output of each of the two commodities.

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Q8. An economy consists of two interdependent industries steel and lumber. It takes 0.1 unit of steel and 0.5 unit of lumber to make one unit of steel. It takes 0.2 unit of steel and 0 unit of lumber to make one unit of lumber. The economy will export 16 units of steel and 8 units of lumber next month. How many units of steel and lumber will they need to produce to meet the external demand?

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