MHT CET · Maths · Application of Derivatives
A manufacturer sells \(x\) items at a price of rupees \(\left(6-\frac{x}{40}\right)\) each. The cost price of \(x\) items is Rs. \(\left(\frac{x}{5}+193\right)\). The maximum profit in Rs. _______ is
- A 134.4
- B 144.3
- C 143.4
- D 133.4
Answer & Solution
Correct Answer
(C) 143.4
Step-by-step Solution
Detailed explanation
Revenue \(R(x) = x\left(6-\frac{x}{40}\right) = 6x - \frac{x^2}{40}\) Profit \(P(x) = R(x) - C(x) = \left(6x - \frac{x^2}{40}\right) - \left(\frac{x}{5}+193\right)\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The co-ordinates of the point in which line joining \((1,1,1)\) and \((2,2,2)\) intersects the plane \(x+y+z=9\) areMHT CET 2025 Medium
- The area of the region enclosed between pair of line and the lines is …..MHT CET 2019 Medium
- For the following shaded area, the linear constraints except \(x, y \geq 0\) are
MHT CET 2023 Easy - If Rolle's theorem holds for the function \(x^3+a x^2+b x, 1 \leqslant x \leqslant 2\) at the point \(\frac{4}{3}\), then the values of \(a\) and \(b\) are respectively.MHT CET 2025 Medium
- The distribution function \(\mathrm{F}(\mathrm{X})\) of discrete random variable \(\mathrm{X}\) is given by
Then \(P[X=4]+P[X=5]=\)MHT CET 2021 Medium - If \(x=\tan ^{-1}\left\{\frac{\sqrt{1+\mathrm{t}^2}-1}{\mathrm{t}}\right\}, \mathrm{y}=\cos ^{-1}\left\{\frac{1-\mathrm{t}^2}{1+\mathrm{t}^2}\right\}\), then \(\frac{\mathrm{dy}}{\mathrm{d} x}\) is equal toMHT CET 2025 Medium
More PYQs from MHT CET
- The area of the triangle formed by the lines joining vertex of the parabola \(x^{2}=12 y\)
to the extremities of its latus rectum isMHT CET 2020 Easy - When two homozygous plants with red and white flowers are crossed, their offsprings show pink flowers. This indicates that the alleles of the gene for flower colour shows __________ .MHT CET 2019 Medium
- From a disc of mass 'M' and radius 'R' a circular hole of diameter \(\mathrm{R}\) is cut whose rim passes through the centre. The moment of inertia of the remaining part of the disc about perpendicular axis passing through the centre isMHT CET 2020 Hard
- The value of \((1+\Delta)(1-\nabla)\) isMHT CET 2011 Medium
- Which of the following matrices are invertible?
\(A =\left[\begin{array}{cc}2 & 3 \\ 10 & 15\end{array}\right], B =\left[\begin{array}{ccc}1 & 2 & 3 \\ 2 & -1 & 3 \\ 1 & 2 & 3\end{array}\right], C\) \(=\left[\begin{array}{ccc}1 & 2 & 3 \\ 3 & 4 & 5 \\ 4 & 6 & 8\end{array}\right], D =\left[\begin{array}{ccc}2 & 4 & 2 \\ 1 & 1 & 0 \\ 1 & 4 & 5\end{array}\right]\)MHT CET 2021 Easy - In Griffith's experiment, the conversion of R-type to S-type of Streptococcus pneumoniae when mixed with heat killed S-type is calledMHT CET 2015 Medium