Questions and Solutions

Class: 12 Subject: Math Type: Long

Question 1:

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.

Class: 12 Subject: Math Type: Long

Question 2:

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 \( x = 7 \).

Class: 12 Subject: Math Type: Long

Question 3:

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