I need help writing an energy balance: Problem Statement: A farmer owns a $150-$acre farm and is planning to install a solar$-$powered irrigation system for their crops. The irrigation system also includes the crops, which occupy $70\%$ of the farmland $(105$ acres$).$ Additionally, the farmer has a fixed budget that must not be exceeded. How many solar panels are required to meet the following needs while staying within budget?

Requirements:

Water Demand:

requires $8000$ gallons of water$/$acre$/$month

Evaporation $-5\%$ per day

Leakage $-10\%$ per month

Pump Information:

Flow rate $500$ gal$/$min

Pressure $100$ psi

Operates $10$hr$/$day $,5$ days a week, $4$ weeks per month

Energy demand of pump $($Power consumption$)-$ requires $10$ kW of power to operate at

Budget:

$$40,000$

Solar Panel Information:

Each panel produces $350$W of power. Assumptions:

$-$Location: Conneticut

$-$ Evaporation and Leakage happens after the water leaves the pump

$-$ Average price per Watt $$3\mathrm{.}25($average of $$2\mathrm{.}50$ to $$4\mathrm{.}00$ per Watt$)$

$-$ For the $10$ kW pump it operates on a voltage of $230$V

Diameter $=8$ in for every pipe Farm Layout

$70\backslash \%$ farmland$/$irrigation $(105$ acres$)$

Total farm area $150$ acres