Home
Class 11
MATHS
The total cost C(x) in Rupees, associate...

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.

Text Solution

Verified by Experts

The correct Answer is:
30.015
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS -I(B) MODEL PAPER -9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C|7 Videos

  • MATHEMATICS -I(B) MODEL PAPER -9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C|7 Videos

  • MATHEMATICS -I(A) MODEL PAPER 5

    VGS PUBLICATION-BRILLIANT|Exercise Section-C|7 Videos

  • MATHEMATICS -II(B) MODEL PAPER -10

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C|9 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) = 0.007x^(3) - 0.003x^(2)+15x+4000 . Find the marginal cost when 17 units are produced.

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 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. The marginal revenue, when x = 15 is

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

The profit function P (x) of a company selling x items is given by P(x) = -x^(3) + 9x^(2) - 15x - 13 where x represents units in thousands. Find the absolute maximum profit if the company can manufacture a maximum of 6000 units.