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Model Paper 4 — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsModel Paper 41 Mark
MCQ
If the marginal revenue function of a commodity is $\mathrm{MR}=2 \mathrm{x}-9 \mathrm{x}^{2}$, then he revenue function is
  • A
    2-18x
  • ✓
    $x^{2}-3 x^{3}$
  • C
    $2 x^{2}-9 x^{3}$
  • D
    $18+x^{2}-3 x^{3}$
✓

Answer

Correct option: B.
$x^{2}-3 x^{3}$
(B) $x^{2}-3 x^{3}$
Explanation: Given MR $=2 \mathrm{x}-9 \mathrm{x}^{2}$
$\therefore \mathrm{R}(x)=\int\left(2 x-9 x^{2}\right) d x$
$\Rightarrow \mathrm{R}(\mathrm{x})=\mathrm{x}^{2}-3 \mathrm{x}^{3}+\mathrm{k}$
We know that when $\mathrm{x}=0, \mathrm{R}(\mathrm{x})=0$
$\Rightarrow 0-0+\mathrm{k}=0 \Rightarrow \mathrm{k}=0$
$\therefore \mathrm{R}(\mathrm{x})=\mathrm{x}^{2}-3 \mathrm{x}^{3}$

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