CUET · MATHS · PYQ PAPER 2025
The marginal cost of production of \(X\) units of a commodity is \(56+\frac{3}{2} x\).
It is known that fixed costs are Rs.115.
Then the total cost of producing 50 units is :-
- A Rs. 2800
- B Rs. 1875
- C Rs. 4790
- D Rs. 3383.75
Answer & Solution
Correct Answer
(C) Rs. 4790
Step-by-step Solution
Detailed explanation
\(TC = \int (56 + \frac{3}{2}x) dx = 56x + \frac{3}{4}x^2 + C\) Fixed cost: \(C = 115\) \(TC(x) = 56x + \frac{3}{4}x^2 + 115\) \(TC(50) = 56(50) + \frac{3}{4}(50)^2 + 115\) \(TC(50) = 2800 + 1875 + 115 = 4790\)
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 the points \((2,-3),(\lambda,-1)\) and \((0,4)\) are collinear, then the value of \(\lambda\) is:CUET 2025 Medium
- A random variable \(X\) has the following probability distribution:
The value of \(P(4 < X < 7)\) is equal toX 0 1 2 3 4 5 6 7 P(X) 0 k 2k 2k 3k \(k^2\) \(2 k^2\) \(7 k^2+k\) CUET 2025 Medium - If \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\) and \(|\vec{a}|=3,|\vec{b}|=5,|\vec{c}|=7\), then the angle between \(\vec{a}\) and \(\vec{b}\) is:CUET 2025 Medium
- If \(f(x)=3 x^2+10 x-5\), then by using differentials the appropriate value of \(f(2.03)\) isCUET 2023 Easy
- Match List-I with List-II
Choose the correct answer from the options given below :List-I (Differential Equation) List-II (Order and Degree) (A) \(\left(\frac{d^2 y}{d x^2}\right)^2-e^x\left(\frac{d y}{d x}\right)^4+1=0\) (I) order \(=1\) and degree \(=2\) (B) \(\left(\frac{d y}{d x}\right)^2+x y=0\) (II) order \(=2\) and degree \(=1\) (C) \(\left(1+\frac{d y}{d x}\right)^{3 / 2}=4\left(\frac{d^2 y}{d x^2}\right)^2\) (III) order \(=2\) and degree \(=2\) (D) \(\sqrt{\frac{d^2 y}{d x^2}}+1=\frac{d y}{d x}\) (IV) order \(=2\) and degree \(=4\) CUET 2025 Easy - If the objective function Z = px + qy is maximum at (2,-2) and the maximum value is 8, such that p = 3q, then the values of p and q respectively are:CUET 2023 Easy
More PYQs from CUET
- The value of the determinant \(\left|\begin{array}{lll}a^2 & a & 1 \\ b^2 & b & 1 \\ c^2 & c & 1\end{array}\right|\) is:CUET 2023 Hard
- Resistance R1 is with 10 \(\Omega\) resistance in series and is in the first gap of meter bridge with R2 in the second gap. The balance point is at 50 cm. When the 10 \(\Omega\) resistance is removed then the balance point shifts to 40 cm. What is the value of R1?CUET 2023 Hard
- The function \(f(x)=k x^3+6 k x^2+18 x+17\) is increasing on \(R\) (set of real numbers) if:CUET 2025 Easy
- Typical embryo sac at maturity is:CUET 2025 Easy
- The biodiversity is ______ at lower altitudes and ______ with increasing higher latitudes.CUET 2025 Hard
- Match List - I (reagent) with List - II (Transformations)
List - I (Reducing Agent) List - II (Transformations) (A) Sodium Borohydride (I) Aldehyde to alkane (B) \(SnCl _2\) and HCl (II) aldehydes to Primary alcohols (C) Zn-Hg and conc. HCl (III) Nitriles to Imine (D) DIBAL-H (IV) Ester to aldehyde
Choose the correct answer.CUET 2025 Medium