Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>CHAPTER TEST>Q 7

EASY

12th ICSE

IMPORTANT

Earn 100

A manufacturer produces $x$ units of a commodity and sell at $p$ per unit, where $x = \frac{600 - p}{8}$ . The cost of production of $x$ units is
$Rs (- x^{2} + 54 x + 2000)$ . Find the number of units of the commodity produced and sold to have maximum profit. What is the maximum profit ?

Important Questions on Application of Calculus in Commerce and Economics

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>CHAPTER TEST>Q 8

The marginal cost function of a product is given by

M C = \frac{2}{\sqrt{4 x + 9}}

. If the fixed cost is

Rs 540

, find the total cost function. Also find the average cost of producing

4

units of the product.

EASY

12th ICSE

IMPORTANT

Understanding ISC Mathematics Class 12 Volume 2>Chapter 1 - Application of Calculus in Commerce and Economics>CHAPTER TEST>Q 9

A cultural organisation is arranging a dance program. It expects

300

persons to attend the show if the entrance fee is

8

per person. It also estimated that if the entrance fee is decreased by

1

, then

60

additional persons would attend the show. What should be the entrance fee to get the maximum revenue ?