I'm currently working on an assignment for my Operations Management course and need assistance with process selection based on cost analysis.

Scenario:

A company is evaluating two production processes for a new product:

• Process A: Fixed Costs = $50,000; Variable Cost per Unit = $10
   
• Process B: Fixed Costs = $25,000; Variable Cost per Unit = $18
   

Tasks:

1. Determine the break-even point where both processes have equal total costs.
    
2. Identify which process is more cost-effective at production volumes of 3,000 and 7,000 units.
    
3. Provide a brief explanation of how the break-even analysis informs the decision-making process in operations management.