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:
Answer & explanation
Correct answer: option 4
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: $\text{(A)}$