important// asapLinear programming OR1 please explain

A farmer has 80 hectares of his farm available for planting cotton (1) corn (2), and sorghun; (*3). He cannot plant more than 10 hectares of cotton, no more than 15 hectares of corn and no more than 24 hectares of sorghum. He prefers to plant more cotton than corn and sorghum because its more profitable, but since there is limits on the water quota, then he is obligated to plant certain relative areas of cotton, corn and sorghum. The land planted with sorghum must be at least × the land planted with corn, and at least 2 times the land planted with cotton. If the profit of cotton is $1,000 per hectare and $750 per hectare of corn and $500 per hectare of sorghum, how should the farmer plant these three crops to maximize his profit. [20 points]

1- Please formulate a suitable mathematical model with the objective function, constraints and non-negativity constraints (if needed)

2- If the optimal solution is the following, show binding and non-binding constraints and calculate slack/surplus values for each constraint.