CUET · MATHS · PYQ PAPER 2023
The maximum value of \(Z=3 x+4 y\) subject to the constraints: \(x+y \leq 1, x \geq 0, y \geq 0\) is:
- A 4
- B 3
- C 2
- D 5
Answer & Solution
Correct Answer
(A) 4
Step-by-step Solution
Detailed explanation
Vertices: \( (0,0), (1,0), (0,1) \) \( Z(0,0) = 3(0) + 4(0) = 0 \) \( Z(1,0) = 3(1) + 4(0) = 3 \) \( Z(0,1) = 3(0) + 4(1) = 4 \) Maximum value: \( 4 \)
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
- \(\int \frac{1}{x \sqrt{x^2-9}} d x\) is equal to (given that C is constant of integration)CUET 2023 Easy
- \(\int \frac{d x}{x^3 \sqrt{\left(1+x^4\right)}}=\)CUET 2025 Hard
- For real numbers x and y, the relation R is defined as R = {(x, y) : x + y - \(\pi\) is an irrational number}, then the relation R is:CUET 2023 Easy
- The values of \(a\) for which the function \(f(x)=a^x\) is increasing on \(R\) are given by :CUET 2023 Easy
- An urn contains 5 red and 5 black balls. A ball is drawn at random, its color is noted and is returned to the urn.
Moreover, 2 additional balls of the same color are put in the urn and then a ball is drawn at random.
The probability that the second drawn ball is red, is :CUET 2025 Medium - Area lying in the first quadrant and bounded by the circle \(x^2+y^2=4\) and the lines x = 0 and x = 2 is:CUET 2023 Easy
More PYQs from CUET
- If \(A(3,2), B(1,-1)\) and \(C(2,1)\) are three vertices of a parallelogram \(A B C D\), then its area (in sq. units) is equal toCUET 2025 Hard
- If \(A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 1\end{array}\right]\), then \(A^{-1}\) is equal to :CUET 2025 Easy
- A capacitor of capacitance C is first charged by a battery of V volts. It is disconnected from the battery and is filled with a dielectric of dielectric constant K. The ratio of energy stored in the two cases, respectively will beCUET 2025 Hard
- In a box containing 100 bulbs, 10 are defective. Then the probability, that out of a sample of 5 bulbs none is defective, is:CUET 2023 Medium
- A magician during a show makes a glass lens \( \mu = 1.5 \) disappear in a trough of liquid. The refractive index of the liquid would be :CUET 2023 Hard
- Find the value of k making the following function continuous at x = 5
\(f(x)=\left\{\begin{array}{ll}2 k x-1, & x \geq 5 \\ 2 x+3, & x<5\end{array}\right.\)CUET 2023 Hard