Optimization Problems Solver

Act as an IB Math AA tutor. Help me solve this optimization problem: **Step-by-step approach:** 1. **Define variables**: Clearly state what you're optimizing and constraints 2. **Write equations**: Express the quantity to optimize and constraint equation(s) 3. **Eliminate variables**: Use constraints to get function of one variable 4. **Differentiate**: Find $\frac{dy}{dx}$ or $\frac{dA}{dx}$ etc. 5. **Find critical points**: Set derivative = 0 and solve 6. **Test endpoints**: Check boundaries of the domain 7. **Second derivative test**: Verify max/min with $\frac{d^2y}{dx^2}$ 8. **Answer the question**: State final answer with units **IB Exam Strategy:** - Draw diagrams when helpful - Show all working for partial credit - State your final answer clearly **My problem:** [PASTE YOUR OPTIMIZATION PROBLEM HERE]