CUET · MATHS · PYQ PAPER 2023
Consider the LPP, optimize \(Z=x+5 y\) subject to \(x+y \geq 5 ; 2 x-5 y \geq 10, x \leq 2 ; x \geq 0, y \geq 0\), then which of the following is correct?
- A Unique minimum solution
- B Unique maximum solution
- C Infinitely many optimal solutions
- D No solution
Answer & Solution
Correct Answer
(A) Unique minimum solution
Step-by-step Solution
Detailed explanation
From \(x \leq 2\) and \(x+y \geq 5\): \(y \geq 5-x \geq 5-2 \implies y \geq 3\). For any point \((x,y)\) in the feasible region, \(x \leq 2\) and \(y \geq 3\). Thus, \(2x-5y \leq 2(2) - 5(3) = 4 - 15 = -11\). The constraint \(2x-5y \geq 10\) cannot be satisfied, as…
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
- A random variable X has the following probability distribution :
x 1 2 3 4 5 \(P ( X = x )\) k k 3k \(2 k^2\) \(4 k^2\)
Based on the above information, the value of ' \(K\) ' is :CUET 2023 Medium - The function \(f(x)=\left\{\begin{array}{ll}\frac{x^2+2 x-3}{x-1}, & \text { if } x \neq 1 \\ 0, & \text { if } x=1\end{array}\right.\) isCUET 2023 Medium
- The equation of normal to the curve \(2 y+x^2=3\) at the point (1, 1) is:CUET 2023 Medium
- The general solution of the differential equation \(x\left(\frac{d y}{d x}\right)=y+x \tan \left(\frac{y}{x}\right)\) isCUET 2025 Medium
- The demand for a certain product is represented by the function
\(p=150+10 x-x^2 \text { (in Rs.) }\)
where \(x\) is the number of units demanded and \(p\) is the price per unit, then the value of marginal revenue, when 10 units are sold, isCUET 2025 Easy - Which of the following statements are correct?
(A) The mean and variance of the Poisson distribution are equal.
(B) The mean and variance of a Binomial distribution are equal.
(C) An unbiased die is thrown again and again until two sixes are obtained, then the probability of obtaining the second six in the 3rd throw is \(\frac{5}{108}\).
(D) If the variance of a Poisson distribution is 2 , then \(P(X=2)=2 e^{-2}\).
Choose the correct answer from the options given below :CUET 2025 Medium
More PYQs from CUET
- Interference of light obeys the Principle of conservation of:CUET 2023 Easy
- Two point charges \( q_1 = 36 \text{ }\mu\text{C} \) and \( q_2 = -9 \text{ }\mu\text{C} \) are placed at a distance of 30 cm. The distance from \( q_1 \) where the net electric field is zero, will be :CUET 2025 Hard
- The edge lengths of the unit cells in terms of the radius of spheres constituting fcc, bcc \& simple cubic unit cell respectively are:CUET 2023 Hard
- Total internal reflection can take place only, ifCUET 2023 Easy
- Which of the following is not true about tRNA?CUET 2023 Easy
- Identify correctly:
A. \(\begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 5 \\ 3 & 5 & 6 \end{bmatrix}\) is a symmetric matrix
B. \(\begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}\) is a null matrix
C. \(\begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{bmatrix}\) is an Identity matrix
D. \(\begin{bmatrix} 0 & 1 & 2 \\ -1 & 0 & 3 \\ -2 & -3 & 0 \end{bmatrix}\) is a skew symmetric matrix
E. \(\begin{bmatrix} \sqrt{3} & 0 & 0 \\ 0 & \sqrt{3} & 0 \\ 0 & 0 & \sqrt{3} \end{bmatrix}\) is a scalar matrix
Choose the correct answer from the options given below:CUET 2023 Hard