1. **State the problem:** Farmer Anuar wants to decide how many acres of corn ($x$) and paddy ($y$) to plant to maximize total revenue. 2. **Define variables:** Let $x$ = acres of corn planted Let $y$ = acres of paddy planted 3. **Write the objective function:** Revenue from corn = $10$ bushels/acre \times $3$ per bushel \times $x = 30x$ Revenue from paddy = $25$ bushels/acre \times $4$ per bushel \times $y = 100y$ Total revenue to maximize: $$Z = 30x + 100y$$ 4. **Write the constraints:** - Land constraint: total acres planted cannot exceed 7 $$x + y \leq 7$$ - Labor constraint: corn requires 4 hours/acre, paddy requires 10 hours/acre, total labor available is 40 hours $$4x + 10y \leq 40$$ - Minimum corn production: at least 30 bushels of corn $$10x \geq 30 \implies x \geq 3$$ - Non-negativity constraints: $$x \geq 0, \quad y \geq 0$$ 5. **Summary:** Maximize $$Z = 30x + 100y$$ subject to $$x + y \leq 7$$ $$4x + 10y \leq 40$$ $$x \geq 3$$ $$x, y \geq 0$$ This linear program will help Farmer Anuar maximize total revenue from corn and paddy planting under the given constraints.