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  • Need solution for RD Sharma Maths Class 12 Chapter 17 Maxima and Minima Excercise Case Study Based Questions question 3 subquestion (iv)

Need solution for RD Sharma Maths Class 12 Chapter 17 Maxima and Minima Excercise Case Study Based Questions question 3 subquestion (iv)

Answers (1)

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Answer:  \mathrm{Rs}\; 400

Hint: use concept of maxima and minima.

Solution:

\begin{aligned} \mathrm{R} &=(500-\mathrm{x})(300+\mathrm{x}) \\ \end{aligned}

\mathrm{R}^{\prime} =-(300+\mathrm{x})+500-\mathrm{x} \\

      =200-2 \mathrm{x} \\

\mathrm{R}^{\prime}=0

200-2 x =0 \\

x =100 . \\

R^{\prime \prime}=-2<0 \text { Maximum. } \\

\text { Rate }=300+100=400 R s

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