MHT CET · Maths · Linear Programming
The solution set for minimizing the function \(\mathrm{z}=x+\mathrm{y}\) with constraints \(x+\mathrm{y} \geqslant 2, x+2 \mathrm{y} \leqslant 8, \mathrm{y} \leqslant 3, x, \mathrm{y} \geqslant 0\) contains
- A \(x=0, y=3\)
- B \(x=8, \mathrm{y}=0\)
- C infinitely many points
- D \(x=2, \mathrm{y}=3\)
Answer & Solution
Correct Answer
(C) infinitely many points
Step-by-step Solution
Detailed explanation
The objective function is \(z = x+y\). The constraint \(x+y \ge 2\) implies the minimum value of \(z\) is at least 2.
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
- f \(\int \sqrt{x-\frac{1}{x}}\left(\frac{x^{2}+1}{x^{2}}\right) d x=\frac{2}{3}\left(x-\frac{1}{x}\right)^{k}+c \quad\), then value of k isMHT CET 2020 Easy
- The value of \(\tan \left\{\frac{1}{2} \sin ^{-1}\left(\frac{2 x}{1+x^2}\right)+\frac{1}{2} \cos ^{-1}\left(\frac{1-y^2}{1+y^2}\right)\right\}\) isMHT CET 2022 Hard
- An irregular six faced die is thrown and the probability that, in 5 throws it will give 3 even numbers is twice the probability that it will give 2 even numbers. The number of times, in 6804 sets of 5 throws, you expect to give no even number isMHT CET 2023 Hard
- The approximate value of \(\sqrt[3]{0 \cdot 026}\) isMHT CET 2024 Medium
- Let \(\bar{a}=\hat{i}+\hat{\mathrm{j}}-\hat{\mathrm{k}}\) and \(\bar{c}=5 \hat{i}-3 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}\) and if \(\overline{\mathrm{b}} \times \overline{\mathrm{c}}=\bar{a}\) then \(|\overline{\mathrm{b}}|=\)MHT CET 2025 Medium
- If \(\overline{\mathrm{a}}=\mathrm{m} \overline{\mathrm{b}}+\mathrm{n} \overline{\mathrm{c}}\), where \(\overline{\mathrm{a}}=4 \hat{\mathrm{i}}+13 \hat{\mathrm{j}}-18 \hat{\mathrm{k}}, \overline{\mathrm{b}}=\hat{\mathrm{i}}-2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}\), \(\overline{\mathrm{c}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-4 \hat{\mathrm{k}}\), then \(\mathrm{m}+\mathrm{n}=\)MHT CET 2023 Easy
More PYQs from MHT CET
- What is the number of unpaired electrons present in \(\left[\mathrm{CoF}_6\right]^{3-}\) ?MHT CET 2024 Easy
- Match the Column I (Blood corpuscles) with Column II (functions).
Column I
(Blood corpuscles)Column II (functions) i Neutrophils a. Immunity Ii Cyanophils b. Phagocytosis Iii Acidophils c. Secretion of histamines Iv Lymphocytes d. Antihistaminic MHT CET 2024 Medium - A solid ball of volume \(V\) is dropped in a viscous liquid. It experiences a viscous force \(F\). If the solid ball of volume \(2 V\) of same material is dropped in the same fluid, then the viscous force acting on it will beMHT CET 2012 Easy
- The number of ATP molecules gained in aerobic respiration are how many times more than that produced in anaerobic respiration?MHT CET 2022 Easy
- If \(A=\left[\begin{array}{ccc}1 & 1 & 1 \\ 2 & 1 & -3 \\ -1 & 2 & 3\end{array}\right]\), then \(A_{31}+A_{32}+A_{33}=\) where \(A_{i j}\), where \(A=\left[a_{i j}\right]_{3 \times 3}\)MHT CET 2022 Easy
- Which from following pair of compounds exhibits isomorphism?MHT CET 2025 Easy