If the total cost and total revenue of a company that produces and sells $x$ units of a particular product are $C(x)=5x+350$ and $R(x) = 50x-x^2$ 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) only

The correct answer is Option (4) → (A) only

Breakeven occurs when $C(x)=R(x)$.

$5x+350=50x-x^{2}$

$x^{2}-45x+350=0$

Factorise:

$(x-10)(x-35)=0$

$x=10$ or $x=35$

From given options only $x=10$ is present.

final answer: $\text{(A)}$