17)There is a local printing press, whose owner is given a bulk order for printing of a magazine bya school of the same locality. He shows variety of pages to school administration.
Following is the pictorial description for a particular page, selected by school administration. The total area of the page is 150 cm2 .The combined width of the margin at the top and bottom is 3 cm and the side 2 cm.
Using the information given above, answer the following: [PLS ANSWER ALL 5 QUESTIONS BELOW BECAUSE THEY ARE PART OF A SINGLE QUESTION] (with steps)

(i) The relation between x and y is given by
(a) (x-3) y = 150
(b) xy = 150
(c) x (y-2) = 150
(d) (x-2)(y-3) = 150

(ii) The area of page where printing can be done, is given by
(a) xy
(b) (x+3) (y+2)
(c) (x-3) ( y -2)
(d) (x-3) (y+2)

(iii) The area of the printable region of the page, in terms of x is
(a) 156 + 2x + 450/x
(b) 156 – 2x + 3(150/x)
(c) 156 – 2x – 15 (3/x)
(d) 156 – 2x – 3(150/x)

(iv) For what value of ‘x’, the printable area of the page is maximum?
(a) 15 cm
(b) 10 cm
(c) 12 cm
(d) 15 cm

(v) What should be the dimensions of the page so that it has maximum area to be printed?
(a) Length = 1 cm, width = 15 cm
(b) Length = 15 cm, width = 10 cm
(c) Length = 15 cm, width = 12 cm
(d) Length = 150 cm, width = 1cm



Regards!

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