Design an appropriate size of biogas plant for a family of 6 members owning 2 cows, 2 buffaloes and 2 calves. One candle lamp is used for lighting purpose for 4 hours. (Assumption: dung production by cow, buffalo and calf are 10 kg, 15 kg and 5 kg respectively; cooking requirement is 0.25 m\(^3\) gas per day per person and 0.12 m\(^3\) gas per hour per lamp; gas production 0.04 m\(^3\) per kg of dung)