1. **Stating the problem:** We want to find the optimal combination of Monocrystalline and Polycrystalline solar panels to maximize total power output, considering budget and roof area constraints. 2. **Define variables:** Let $x$ = number of Monocrystalline panels Let $y$ = number of Polycrystalline panels 3. **Given data:** - Monocrystalline panel: area = 2 m², cost = 4000000 per unit - Polycrystalline panel: area = 3 m², cost = 2000000 per unit 4. **Constraints:** - Budget constraint: $4000000x + 2000000y \leq \text{total budget}$ - Roof area constraint: $2x + 3y \leq \text{total roof area}$ 5. **Objective function:** Maximize total power output $P = p_m x + p_p y$ where $p_m$ and $p_p$ are power outputs per panel type (not given, so assume proportional to area or given values). 6. **Formulate the optimization problem:** $$\max_{x,y} P = p_m x + p_p y$$ subject to $$4000000x + 2000000y \leq B$$ $$2x + 3y \leq A$$ $$x,y \geq 0$$ 7. **Explanation:** To solve, we need values for $B$ (budget), $A$ (roof area), and power outputs $p_m$, $p_p$. Then use linear programming to find $x,y$ maximizing $P$. Since these values are not provided, this is the setup for the problem.