Class 12 CBSE Applied Maths Integrals Exercise 7.13

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 7.1 Exercise 7.2 Exercise 7.3 Exercise 7.4 Exercise 7.8 Exercise 7.9 Exercise 7.10 Exercise 7.11 Exercise 7.12 Exercise 7.14 Case Study

Q1. The marginal cost of production of the commodity is 30 + 2x, it is known that fixed cost is Rs 200, find
(i) the total cost.
(ii) the cost of increasing output from 100 to 200 units.

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Q2. The marginal cost of manufacturing x units of a product is given by MC = x2 - 150x + 750. If the fixed cost is 1250, find the total cost and the average cost.

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Q3. The marginal cost function of producing x units of a product is given by MC = 3x2 - 10x + 3. If the total cost of producing 1 unit of the product is Rs 7, find the total cost function and the average cost.

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Q4. Determine the cost of increasing output from 100 to 200 units if the marginal cost MC (in Rs per unit) is given by MC = 0.003x2 - 0.01x + 2.5

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Q5. The marginal cost of a product is given by MC = and the fixed cost is Rs 2500. Find the total cost function. Also, find the average cost of producing 72 units.

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Q6. The marginal cost function of producing x units of a product is given by MC = 3e0.3x + 5. If the fixed cost is Rs 6050, find the total cost function. Also, find the cost of production of 10 units.

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Q7. The marginal revenue function of a commodity is 9 + 6x2, find the revenue function. Also, find the revenue obtained on selling 5 units of the product.

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Q8. The marginal revenue function of a commodity is MR = 15 + 4x - 3x2, find the revenue function. Also, find the corresponding demand function.

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Q9. The marginal revenue function of a commodity is MR = find the revenue function. Also, find the revenue obtained on selling 4 units of the product.

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Q10. The marginal revenue of selling x units of a commodity is given by MR = If the revenue obtained on selling 10 units of the commodity is Rs 200e, find the revenue function.

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