A Car manufacturer has a choice either to make Sedans or SUVs. Making a Sedan requires $8000 of material, 20 hours of labor, and $5000 of utilities and overheads, while making a SUV requires $10,000 of material, 24 hrs of labor and $6800 of Utilities and overheads. Labor in the factory costs $50 per hour. The fixed cost of setting up the factory is $440,000. If the Sedan sells for $25,000 while the SUV sells for $28,000, find the Break-even point for each type of vehicle.

1. a. Write the algebraic formulation for this problem
2. b. Find the Break-even point for each type of vehicle.