MHT CET · Maths · Linear Programming
A scholarship amount is given by \(z=550 x+300 y\) and is to be distributed among \(x\) boys and y girls. From the graph given below the maximum amount of scholarship is _________.

- A \(8250\)
- B \(9250\)
- C \(4250\)
- D \(5750\)
Answer & Solution
Correct Answer
(A) \(8250\)
Step-by-step Solution
Detailed explanation
The feasible region is defined by the vertices: \((0, 10), (0, 15), (10, 0), (15, 0)\)
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
- If \(\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}+\overrightarrow{\mathbf{c}}=\overrightarrow{\mathbf{0}},|\overrightarrow{\mathbf{a}}|=3,|\overrightarrow{\mathbf{b}}|=5,|\overrightarrow{\mathbf{c}}|=7\), then the angle between \(\overrightarrow{\mathbf{a}}\) and \(\overrightarrow{\mathbf{b}}\) isMHT CET 2007 Medium
- If \(A\left[\begin{array}{lll}3 & 2 & 4 \\ 1 & 2 & 1 \\ 3 & 2 & 6\end{array}\right]\) and \(\mathrm{A}_{\mathrm{ij}}\) are cofactors of the elements \(\mathrm{a}_{\mathrm{ij}}\) of \(\mathrm{A}\), then \(a_{11} A_{11}+a_{12} A_{12}+a_{13} A_{13}\) is equal toMHT CET 2021 Medium
- If \(p=\tan 20^{\circ}\), then value of \(\frac{\tan 160^{\circ}-\tan 110^{\circ}}{1+\tan 160^{\circ} \tan 110^{\circ}}\), in terms of \(p\) isMHT CET 2022 Easy
- Which of the following statement has the truth value ' \(F^{\prime}\) ?MHT CET 2007 Easy
- Which of the following statement pattern is a tautology?
\(\mathrm{S}_{1} \equiv \sim \mathrm{p} \rightarrow(\mathrm{q} \leftrightarrow \mathrm{p})\)
\(\mathrm{S}_{2} \equiv \sim \mathrm{p} \mathrm{V} \sim \mathrm{q}\)
\(\mathrm{S}_{3} \equiv(\mathrm{p} \rightarrow \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{p})\)
\(\mathrm{S}_{4} \equiv(\mathrm{q} \rightarrow \mathrm{p}) \vee(\sim \mathrm{p} \leftrightarrow \mathrm{q})\)MHT CET 2020 Medium - \(|\vec{a}|=\sqrt{3},|\vec{b}|=5, \vec{b} \cdot \vec{c}=10\) and angle between \(\bar{b}\) and \(\bar{c}\) is \(\left(\frac{\pi}{3}\right)\). If \(\vec{a}\) is perpendicular to \(\vec{b} \times \vec{c}\), then value of \(|\vec{a} \times(\vec{b} \times \vec{c})|\) isMHT CET 2022 Medium
More PYQs from MHT CET
- Calculate the molar mass of solute when 4 g of it dissolved in \(1 \mathrm{dm}^3\). solvent has osmotic pressure 2 atm at \(300 \mathrm{~K} .\left[\mathrm{R}=0 . \hat{0} 82 \mathrm{dm}^3 \mathrm{~atm} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right]\)MHT CET 2024 Easy
- The apparent wavelength of light from a star moving away from the earth is \(0.02 \%\) more than the actual wavelength. The velocity of star is \(\left[\mathrm{c}=\right.\) velocity of light \(\left.=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right]\)MHT CET 2025 Medium
- The dimensions of Planck's constant is the same as the product ofMHT CET 2010 Medium
- MHT CET 2016 Easy
- If \(A=\left[\begin{array}{lll}3 & 2 & 4 \\ 1 & 2 & 1 \\ 3 & 2 & 6\end{array}\right]\) and \(A_{i j}\) are the cofactors of \(a_{\tilde{y}}\),
then \(a_{11} A_{11}+a_{12} A_{12}+a_{13} A_{13}\) is equal toMHT CET 2009 Easy - Which among the following polymer does not show cross linking in it?MHT CET 2019 Medium