A printed page is to have total area of 80 sq.cm with margin of 1 cm at the top and on each side and margin of 1.5 cm at the bottom. Which of the following are true?

(A) Area of printed portion; $A= (x-2) \left(y-\frac{5}{2}\right)$

(B) Printed area is maximum at $x= 18 \, cm $

(C) Printed Area function $A(x)= 85-\frac{5x}{2}-\frac{160}{x}$

(D) Printed area is maximum at y = 8 cm

(E) Dimension of printed page are 10 cm & 8 cm

Choose the correct answer from the options given below :

(A), (C), (E) only

The correct answer is Option (2) → (A), (C), (E) only

Area of the pointed portion, $A=(x-2)(y-2.5)$

and,

$x×y=80$

$⇒y=\frac{80}{x}$

$A=(x-2)\left(\frac{80}{x}-2.5\right)=\frac{(x-2)(80-2.5x)}{x}$

∴ (A), (C), (E) only