COMEDK · Maths · 35. Linear Programming
\(\text { The maximum value of } Z=3 x+4 y \text { for the given constraints } x+2 y \leq 76,2 x+y \leq 104, x \geq 0, y \geq 0 \text { is }\)
- A 224
- B 0
- C 196
- D 162
Answer & Solution
Correct Answer
(C) 196
Step-by-step Solution
Detailed explanation
The constraints are \(x + 2y \leq 76\), \(2x + y \leq 104\), \(x \geq 0\), and \(y \geq 0\). The corner points of the feasible region are found by solving the intersection of the boundary lines and the axes. 1. Intersection of \(x + 2y = 76\) and \(2x + y = 104\): Multiply the…
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 \(A(t)=\left[\begin{array}{cc}\cos t & \sin t \\ -\sin t & \cos t\end{array}\right]\) then the product of \(A(t)\) and \(A(-t)\) isCOMEDK 2025 Medium
- The maximum value of \(Z=12 x+13 y\), subject to constraints \(x \geq 0, y \geq 0, x+y \leq 5\) and \(3 x+y \leq 9\) isCOMEDK 2023 Medium
- If the circle \(x^{2}+y^{2}=9\) and \(x^{2}+y^{2}+20 x+2 y+1=0\) touch each other internally, then \(\alpha=\)COMEDK 2019 Medium
- If \(A, B\) and \(C\) are mutually exclusive and exhaustive events of a random experiment such that \(P(B)=\dfrac{3}{2} P(A)\) and \(P(C)=\dfrac{1}{2} P(B)\), then \(P(A \cup C)\) equalsCOMEDK 2021 Hard
- If \((x - a)^2 + (y - b)^2 = c^2\), where a, b, c are some constants, \(c > 0\) then \(\dfrac{\left[1 + \left(\dfrac{dy}{dx}\right)^2\right]^{\dfrac{3}{2}}}{\dfrac{d^2y}{dx^2}}\) is dependent on:COMEDK 2024 Medium
- Given \(P = \begin{bmatrix} 2 & \alpha & 1 \\ 1 & 2 & 2 \\ 1 & 3 & 3 \end{bmatrix}\) is the adjoint of a \(3 \times 3\) matrix A and \(|A| = 3\), then the value of \(\alpha\) is:COMEDK 2026 Medium
More PYQs from COMEDK
- Match the reactions given in Column I with the major product formed given in Column II.
S.No. Reactions S.No. Major Product formed A 
P 
B 
Q 
C 
R 
D 
S 
COMEDK 2025 Hard - The set of all integral multiples of \(5\) is a subgroup ofCOMEDK 2013 Easy
- If \(\mu_0\) is the permeability of free space and \(\varepsilon_0\) permittivity of free space then the dimension for \((\mu_0\,\varepsilon_0)^{1/2}\) is :COMEDK 2026 Easy
- A car, starting from rest, accelerates at the rate (f) through a distance (S), then continues at constant speed for some time \((\mathrm{t})\) and then decelerates at the rate \(\dfrac{f}{2}\) to come to rest. If the total distance is 5 S , thenCOMEDK 2025 Medium
- Among the following properties describing diamagnetism identify the property that is wrongly state(d)
I. Diamagnetic material do not have permanent magnetic moment.
II. Diamagnetism is explained in terms of electromagnetic induction.
III. Diamagnetic materials have a small positive susceptibility.
IV. The magnetic moment of individual electrons neutralize each other.COMEDK 2017 Easy - A number n is chosen at random from \(s = \{1, 2, 3, \dots, 50\}\). Let A = {\(n \in s : n \text{ is a prime}\)}, B = {\(n \in s : n \text{ is a square}\)} and C = {\(n \in s : n \text{ is a cube}\)}. Then, correct order of their probabilities isCOMEDK 2023 Easy