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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.
Assertion (A): The marginal revenue when x = 5 is 66.
Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is True
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions : In the following questions, A statement of Assertion (A)...
Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance. Therefore R is true.
R’(x) = 6x + 36
R’(5) = 66
∴ A is true.
R is the correct explanation of A.
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Community Answer
Directions : In the following questions, A statement of Assertion (A)...
Assertion (A): The marginal revenue when x = 5 is 66.
Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.
To determine whether the statement of Assertion (A) and Reason (R) are correct or not, let's analyze them separately.
Assertion (A)
The assertion states that the marginal revenue when x = 5 is 66.
To find the marginal revenue, we need to take the derivative of the total revenue function with respect to x. Let's differentiate the given total revenue function R(x) = 3x^2 - 36x + 5.
R'(x) = 6x - 36
Now, let's substitute x = 5 into the derivative to find the marginal revenue at x = 5.
R'(5) = 6(5) - 36 = 30 - 36 = -6
The marginal revenue when x = 5 is -6, not 66. Therefore, Assertion (A) is false.
Reason (R)
The reason states that marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.
This is true. Marginal revenue is defined as the additional revenue generated by selling one more unit of a product. It represents the rate of change of total revenue with respect to the number of items sold at a particular point.
Conclusion
Based on the analysis, Assertion (A) is false, and Reason (R) is true. Therefore, the correct answer is option 'C' - A is true but R is false.
Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.
To determine whether the statement of Assertion (A) and Reason (R) are correct or not, let's analyze them separately.
Assertion (A)
The assertion states that the marginal revenue when x = 5 is 66.
To find the marginal revenue, we need to take the derivative of the total revenue function with respect to x. Let's differentiate the given total revenue function R(x) = 3x^2 - 36x + 5.
R'(x) = 6x - 36
Now, let's substitute x = 5 into the derivative to find the marginal revenue at x = 5.
R'(5) = 6(5) - 36 = 30 - 36 = -6
The marginal revenue when x = 5 is -6, not 66. Therefore, Assertion (A) is false.
Reason (R)
The reason states that marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.
This is true. Marginal revenue is defined as the additional revenue generated by selling one more unit of a product. It represents the rate of change of total revenue with respect to the number of items sold at a particular point.
Conclusion
Based on the analysis, Assertion (A) is false, and Reason (R) is true. Therefore, the correct answer is option 'C' - A is true but R is false.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?.
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.The total revenue received from the sale of x units of a product is given by R(x) = 3x2 + 36x + 5 in rupees.Assertion (A): The marginal revenue when x = 5 is 66.Reason (R): Marginal revenue is the rate of change of total revenue with respect to the number of items sold at an instance.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is TrueCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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