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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 (v)

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Answer:  160,000

Hint: use concept of maxima and minima.


Given that there are 5000 subscribers and each subscriber pays 3000 Rs as rent per year

Let us assume that x rupees are increased in the rent.

So the total cost received by the company C is

\begin{aligned} &C=(3000+x)(5000-x) \\ &C=15000000+2000 x-x^{2} \end{aligned}

Differentiate it with respect to x, We get

\begin{aligned} &\frac{\mathrm{dc}}{\mathrm{dx}}=2000-2 \mathrm{x} \\ & \end{aligned}

2000-2 \mathrm{x}=0 \\


So the maximum cost required by the company is   4000 \times 4000=160,000

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