CUET · MATHS · PYQ PAPER 2025
For the linear programming problem (LPP) :
Maximize \(Z=x+1.5 y\), subject to constraints, \(x+2 y \leq 40,2 x+y \leq 40, x+y \leq 25, x \geq 0, y \geq 0\).
Which of the following is NOT correct?
- A The feasible region is bounded.
- B The corner points of the feasible region are \((0,0),(20,0),(15,10),(10,15)\) and \((0,20)\).
- C The optimal value of the objective function is attained at the point \((15,10)\).
- D The LPP has a unique optimal solution.
Answer & Solution
Correct Answer
(C) The optimal value of the objective function is attained at the point \((15,10)\).
Step-by-step Solution
Detailed explanation
Corner points of the feasible region are: \( (0,0), (20,0), (15,10), (10,15), (0,20) \). Evaluate \(Z=x+1.5y\) at each corner point: \(Z(0,0) = 0 + 1.5(0) = 0\) \(Z(20,0) = 20 + 1.5(0) = 20\) \(Z(15,10) = 15 + 1.5(10) = 15 + 15 = 30\)…
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
- Derivative of \(2 x^2\) with respect to \(5 x^4\) is:CUET 2023 Hard
- If \(\sin ^{-1} x+\sin ^{-1} y=\frac{2 \pi}{3}\), then the value of \(\cos ^{-1} x+\cos ^{-1} y\) is:CUET 2023 Easy
- The tangent to the curve \(y=x^3-11 x+5\) at \(x=2\) is parallel to :
(A) \( y=x+1\)
(B) \(y=-x+2\)
(C) \(2 y=x+3\)
(D) \(2 y=2 x+4\)
Choose the correct answer from the options given below :CUET 2023 Easy - If \(A=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]\), then the value of \((A+I)^3-4 A\) is:CUET 2023 Easy
- Let \(A=\left[a_{i j}\right]_{3 \times 3}\) such that \(|A|=-5\). Then the value of \(\operatorname{det}(5 A)\) is equal toCUET 2025 Hard
- The value of a washing machine purchased two years ago depreciates at the annual rate of 10%. If its present value is ₹ 50,000, then its value after two years will be :CUET 2023 Easy
More PYQs from CUET
- In Clemmensen reduction the carbonyl compound is treated withCUET 2025 Medium
- Two long coaxial solenoids of the same length L have inner and outer coils with diameters \( D_1 \) and \( D_2 \) and number of turns \( N_1 \) and \( N_2 \), respectively. What will be the ratio of the self-inductance of the inner solenoid to the mutual inductance of both the solenoids?CUET 2025 Easy
- Arrange the following compounds in increasing order of their acidic strength:
(A) 3-nitrophenol
(B) 3,5-Dinitrophenol
(C) 2,4,6 -Trinitrophenol
(D) Phenol
Choose the correct answer from the options given below:CUET 2025 Easy - The value of the integral \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(x+x^3+x^5\right) d x\) is:CUET 2023 Easy
- If \(a\) and \(b\) are the order and degree of the differential equation
\(\frac{\left[1+\left(\frac{d y}{d x}\right)^2\right]^{\frac{3}{2}}}{\frac{d^2 y}{d x^2}}=K \text { respectively, then }\)
the value of \(a+2 b\) is :CUET 2023 Medium - Observe the figures and answer the question.
Match List I with List II.LIST I LIST II A. Globular embryo I. W B. Mature embryo II. Y C. Zygote III. Z D. Heart-shaped embryo IV. X
Choose the correct answer from the options given below:CUET 2023 Hard