CUET · MATHS · PYQ PAPER 2025
If the total cost and total revenue of a company that produces and sells \(x\) units of a particular product are \(C(x)=5 x+350\) and \(R(x)=50 x-x^2\) respectively, then which of the following is/are the breakeven values:
(A) \(x=10\)
(B) \(x=25\)
(C) \(x=45\)
(D) \(x=30\)
Choose the correct answer from the options given below:
- A (A) and (D) only
- B (A), (B) and (C) only
- C (C) and (D) only
- D (A) only
Answer & Solution
Correct Answer
(D) (A) only
Step-by-step Solution
Detailed explanation
\(C(x)=R(x)\) \(5x+350=50x-x^2\) \(x^2-45x+350=0\) \(x=\frac{45 \pm \sqrt{(-45)^2 - 4(1)(350)}}{2}\) \(x=\frac{45 \pm \sqrt{2025 - 1400}}{2}\) \(x=\frac{45 \pm 25}{2}\) \(x=10, 35\) (A) only
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