Two crops $($A & B$)$ can be grown in a particular irrigation area each year. Crop A can be sold

for a price of $$200$ iton and requires $10m^3$ of water, $100$ ha of land, $30$ kg of fortilizer and $150$ hrs

of labour. Similarly, crop B can be sold at a price of $$250/$ton and requires $8m^3$ of water, $80h$ a

of land, $20$ kg of fertilizer and $120$ hrs of labour. The available quantities of water, land, fertilizer

and labour resources are $15m^3,150ha,45kg$ and $250$ hrs respectively. The costs of cultivation

of Crop A and Crop B are $$\frac{70}{?}$ ton and $$30$ ton. It is required to estimate the quantities of each

crop to be produced so as to maximize the net benefits. Formulate the linear programming

problem. $[25]$