Home
Class 12
MATHS
The total cost C(x) in Rupees, associ...

The total cost C(x) in Rupees, associated with the production of x units of an item is given by `C(x)=0. 005 x^3-0. 02 x^2+30 x+5000` . Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of cha

Text Solution

Verified by Experts

The correct Answer is:
30.015
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS-I)|2 Videos
  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS - II )|16 Videos
  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (LONG ANSWER TYPE QUESTIONS - II)|29 Videos
  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

Similar Questions

Explore conceptually related problems

The total cost C(x) in Rupees, associated with the production of x units of an item is given by C(x) = 0.005x^(3)- 0.02 x^(2)+30x+5000 Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x) = 0.007x^(3) - 0.003x^(3)+15x+4000 . Find the marginal cost when 17 units are produced.

The total cost C(x) in rupees associated with the production of x units of an item is given by C(x) = 0.007x^(3) - 0.003 x^(2) + 15x + 4000 . Find the marginal cost when x = 17 units are produced.

The total revenue in rupees received from the sale of x units of a product is given by R(x) = 13x^(2) + 26x + 15 . Find the marginal revenue when x = 7.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 13x^(2) + 26x + 15. Find the marginal revenue when x = 7.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x^(2) + 36x + 5. Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.

The total cost associated with provision of free mid-day meals to x students of a school in primary classes is given by C(x) = 0.005x^(3) - 0.02x^(2) + 30x + 50. If the marginal cost is given by rate of change (dc)/(dx) of total cost, write, the marginal cost of food for 300 students.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x^(2) + 36x + 5. The marginal revenue, when x = 15 is

Find the product: x x x^2 x x^3 x x^4

Find the products (5-2x)(3+x)