$($b$)$ A client would like to know amount of water needed to sustain growth of $1\mathrm{.}5-$acre maize for his livestock in a farm which is located at located at $40{35}^{\text{'}}$ East and $3030$ North in a sandy clay loam soil every year between June $1$ and August $31.$ As an irrigation engineer, estimate the irrigation system capacity to deliver the irrigation water assuming the soil infiltration rate of $8m\frac{m}{h}r$ and water holding capacity of $70m\frac{m}{m},$ mean air temperature of the area as $33C,$ mean monthly rainfall amount as $15mm,$ average crop coefficient of $0\mathrm{.}85,$ maize rooting depth of $1m$ and depletion rate of $45\%,$ and irrigation efficiency of $91\%$ for $8$ hours of irrigation per day.

$(15$ marks$)$