MHT CET · Maths · Linear Programming
In L.P.P. , the maximum value of objective function \(\mathrm{Z}=6 \mathrm{x}+3 \mathrm{y}\) subject to constraints \(x+\mathrm{y} \leq 5, x+2 \mathrm{y} \geqslant 4,4 x+\mathrm{y} \leq 12, x, \mathrm{y} \geqslant 0\) is
- A \(\frac{132}{7}\)
- B 22
- C 15
- D \(\frac{122}{7}\)
Answer & Solution
Correct Answer
(B) 22
Step-by-step Solution
Detailed explanation
Corner points of the feasible region: \(x=0, x+2y=4 \implies (0,2)\). \(Z=6(0)+3(2)=6\).
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 \(\sec \theta=\frac{13}{12}, \theta\) lies in \(4^{\text {th }}\) quadrant, then \(\tan \theta \times \operatorname{cosec} \theta \times \sin \theta \times \cos \theta=\)MHT CET 2020 Easy
- The differential equation of all circles touching the Y-axis at the origin and centre on the X -axis isMHT CET 2025 Medium
- The value of \(\sin ^{-1}\left(-\frac{1}{2}\right)+\cos ^{-1}\left(-\frac{\sqrt{3}}{2}\right)\) isMHT CET 2020 Easy
- \(\int \cos ^{-1} x d x=\)MHT CET 2021 Hard
- If \(a x^{2}+2 h x y+b y^{2}+2 g x+2 f y+c=0\) represents a joint equation of directrices
of the hyperbola \(16 x^{2}-9 y^{2}=144\), then \(g+f-c=\)MHT CET 2020 Medium - If \(\bar{a}=\hat{i}+\hat{j}+\hat{k}, \bar{b}=\hat{i}-\hat{j}+2 \hat{k}, \bar{c}=x \hat{i}+(x-2) \hat{j}-\hat{k}\) and \(\bar{c}\) is linear combination of \(\bar{a}\) and \(\bar{b}\), then \(x\) has the valueMHT CET 2022 Easy
More PYQs from MHT CET
- The heat of combustion of carbon is \(-393.5 \mathrm{~kJ} / \mathrm{mol}\). The heat released upon the formation of \(35.2 \mathrm{~g}\) of \(\mathrm{CO}_{2}\) from carbon and oxygen gas isMHT CET 2011 Hard
- The general solution of the equation isMHT CET 2016 Easy
- If \(\int \frac{\sin x}{\sin (x-\alpha)} d x=A x+B \log \sin (x-\alpha)+c\), then the value of \(\mathrm{A}\) and \(\mathrm{B}\) are respectively (where \(\mathrm{c}\) is a constant of integration)MHT CET 2021 Medium
- Let \(f: R \rightarrow R\) and \(g: R \rightarrow R\) be continuous functions. Then the value of the integral
\(\int_{\frac{-\pi}{2}}^{\frac{\pi}{2}}[\mathrm{f}(x)+\mathrm{f}(-x)][\mathrm{g}(x)-\mathrm{g}(-x)] \mathrm{d} x\) isMHT CET 2023 Medium - The maximum number of electron in -orbital with is-MHT CET 2023 Medium
- When 1 mole of gas is heated at Constant volume and heat supplied is 500 J then which of the following is correct?MHT CET 2020 Medium