JEE Exam  >  JEE Questions  >  The total revenue in Rupees received from the... Start Learning for Free
The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant
  • a)
    Rs 7
  • b)
    Rs 127
  • c)
    Rs 92
  • d)
    Rs 48
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The total revenue in Rupees received from the sale of x units of a pro...
View all questions of this test
Most Upvoted Answer
The total revenue in Rupees received from the sale of x units of a pro...
Free Test
Community Answer
The total revenue in Rupees received from the sale of x units of a pro...
Total Revenue Function:
The total revenue in rupees received from the sale of x units of a product is given by the function R(x) = 5x^2 - 22x + 35.

Marginal Revenue:
Marginal revenue represents the rate of change of total revenue with respect to the number of items sold at an instant. It can be found by calculating the derivative of the total revenue function with respect to x.

Derivative of Total Revenue Function:
To find the derivative of the total revenue function R(x), we differentiate each term of the function separately.
R(x) = 5x^2 - 22x + 35

- The derivative of 5x^2 with respect to x is 10x.
- The derivative of -22x with respect to x is -22.
- The derivative of 35 with respect to x is 0 (since it is a constant).

Marginal Revenue Function:
The derivative of the total revenue function gives us the marginal revenue function.

R'(x) = 10x - 22

Finding Marginal Revenue at x = 7:
To find the marginal revenue when x = 7, we substitute the value of x into the marginal revenue function R'(x).

R'(7) = 10(7) - 22
= 70 - 22
= 48

Conclusion:
The marginal revenue when x = 7 is Rs 48. Therefore, the correct answer is option 'd' (Rs 48).
Explore Courses for JEE exam
The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer?
Question Description
The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. 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 The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer?.
Solutions for The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 5x2 + 22x + 35. Find the marginal revenue, when x = 7, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instanta)Rs 7b)Rs 127c)Rs 92d)Rs 48Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev