A company makes three products: Alpha, Beta, and Gamma. The company estimates that it can sell 8000 units of product Alpha plus 10 extra units for every dollar it spends promoting product Alpha, 10000 units of product Beta plus 8 extra units for every dollar it spends promoting product Beta, and 12000 units of product Gamma plus 5 extra units for every dollar it spends promoting product Gamma. It costs the company $6 per unit to produce product Alpha, $5.50 to produce a unit product Beta, and $5.25 to produce a unit of product Gamma. The unit selling price for the three products is $10 per unit.
The company spends $6000 for promoting product Alpha, $9000 for promoting product Beta, and $10,000 for promoting product Gamma. What is the total profit?