CUET · MATHS · PYQ PAPER 2025
The corner points of the bounded feasible region determined by the system of linear constraints are (15,0), (40,0), (4, 18) and (6, 12). If objective function is Z = 30x + 20y then the sum of the maximum and the minimum values of Z is
- A 900
- B 1650
- C 1620
- D 1680
Answer & Solution
Correct Answer
(C) 1620
Step-by-step Solution
Detailed explanation
\( Z(15,0) = 30(15) + 20(0) = 450 \) \( Z(40,0) = 30(40) + 20(0) = 1200 \) \( Z(4,18) = 30(4) + 20(18) = 120 + 360 = 480 \) \( Z(6,12) = 30(6) + 20(12) = 180 + 240 = 420 \) Min \( Z = 420 \) Max \( Z = 1200 \) Sum \( = 1200 + 420 = 1620 \)
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
- Let A be a square matrix of order 3, then \(|x A|\) is equal to:CUET 2023 Hard
- Let \(A=\left[\begin{array}{ccc}1 & \sin \theta & 1 \\ -\sin \theta & 1 & \sin \theta \\ -1 & -\sin \theta & 1\end{array}\right]\),where \(0 \leq \theta \leq 2 \pi\).
Then \(\operatorname{det}(A)\) lies in the interval :CUET 2023 Medium - If the random variable X has the following probability distribution :
then \(K\) is equal toX 0 1 2 Otherwise P(X) K 3K 5K 0 CUET 2025 Medium - The angle between the lines
\(l_1: \frac{x+1}{1}=\frac{2-y}{2}=\frac{z-1}{1}\) and \(l_2: \frac{x-1}{4}=\frac{2 y-4}{6}=\frac{z-1}{2}\), is:CUET 2025 Medium - If A and B are two events such that \(P(A) = 0.2, P(B) = 0.4\) and \(P(A \cup B) = 0.5\) then value of \(P(A/B)\) is:CUET 2023 Easy
- Which of the following inequalities holds true?
(A) \(\sqrt{5}+\sqrt{3}>\sqrt{6}+\sqrt{2}\).
(B) If \(a>b\) and \(c<0\), then \(\frac{a}{c}<\frac{b}{c}\).
(C) \(\frac{1}{x^2}>\frac{1}{x}>1\), if \(0<x<1\).
(D) If \(a\) and \(b\) are positive integers and \(\frac{a-b}{6.25}=\frac{4}{2.5}\), then \(b>a\).
Choose the correct answer from the options given below:CUET 2025 Medium
More PYQs from CUET
- The speed of a motorboat in still water and that of the current of water is in a ratio of \(27: 5\).
The boat goes along the current from point \(A\) to point \(B\) in 3 hours 40 minutes.
How much time will it take to come back from \(B\) to \(A\)?CUET 2025 Hard - If \(A\) is a square matrix such that \(A^2=A\), then \((I+A)^3-8 A\) is equal to:CUET 2023 Hard
- The unit of molar conductivity isCUET 2025 Easy
- The rate of a chemical reaction doubled for every \(10^{\circ} C\) rise in temperature. If the temperature is raised by \(50^{\circ} C\), the rate of reactions will beCUET 2025 Hard
- A small charged water drop with charge \( q = 1.5 \times 10^{-6} \text{ C} \) and mass m = 10 g is suspended in air in electric field E. The value of E is given by (Take acceleration due to gravity \( g = 10 \text{ m s}^{-2} \))CUET 2025 Easy
- If the interval in which the function \(f(x)=4 x^3-6 x^2-72 x+30\) is strictly decreasing, is \(( a , b )\) then \(a + b\) is equal toCUET 2025 Easy