# 18)A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2 m and volume is 8 cubic metres. The building of tank costs Rs70 per sq.metres for the base and Rs45 per square metre for the sides. Based on the above information, answer the following: [PLS ANSWER ALL 5 QUESTIONS BELOW BECAUSE THEY ARE PART OF A SINGLE QUESTION] (with steps) (i) If x and y represents the length and breadth of the rectangular tank, then the relation between the variables in terms of volume is a) y = 4/x b) x = 4/y c) 2(xy+2y+2x)=8 d) xy +2y+2x = 8 (ii) The area of the 4 walls of the rectangular tank in terms of x and y is a)4x+2y b) 4x+4y c)2x+4y d)2x+2y (iii) The total cost of buiding the tank is a)Rs ( 40x+40y) b) Rs (80x+80y) c) Rs (120x+120y) d)Rs (180x+180y) (iv) The manufacturer of the tank is interested in minimizing the expense of the tank during construction. For this to happen the valve of x should be a) 3 m b) 5 m c) 2 m d) 8 m (v) The minimum cost of construction of the tank is a)Rs 2000 b) Rs 3000 c) Rs 1000 d) No minimum cost

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