Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Provide solution for RD Sharma maths class12 Chapter Maxima and Minima exercise 17.5 question 37.

Provide solution for RD Sharma maths class12 Chapter Maxima and Minima exercise 17.5 question 37.

Answers (1)

240 items

Hint: For maximum or minimum value of P, we must have \frac{dP}{dx}=0

Given: Profit = S.P - C.P

P= x\left ( 5-\frac{x}{100} \right )-\left ( 500+\frac{x}{5} \right )

Solution: P= x\left ( 5-\frac{x}{100} \right )-\left ( 500+\frac{x}{5} \right )

\begin{aligned} &P=5 x-\frac{x^{2}}{100}-500-\frac{x}{5} \\ &\frac{d P}{d x}=5-\frac{x}{50}-\frac{1}{5} \\ &\frac{d P}{d x}=0 \\ &5-\frac{x}{50}-\frac{1}{5}=0 \\ &\frac{24}{5}=\frac{x}{50}, x=\frac{24 \times 50}{5}=240 \end{aligned}

Now,

\frac{d^2P}{dx^2}=\frac{-1}{50}<0

Profit is maximum if 240 items are sold.

 

Posted by

infoexpert24

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Board 12th Exams 2026 LIVE: Class 12 political science exam begins; questions with solutions soon
anam-khan

CBSE Class 12 Economics Analysis: Students find exam moderately difficult; questions mostly application-based
anam-khan

CBSE Board Exam Analysis 2026 LIVE: Class 12 economics paper 'moderate to difficult level'; updates

Latest Question