At the consulting agency, they recognize that water/wastewater customers fall under different segments. Each segment supports different characteristics that influence the services accessible to them and the price for these services. For simplification, these segments have been grouped into two categories: commercial and residential customers. Each segment has different rates. The commercial customers have a demand curve of d₁ = 3,500 - 125p₁. While residential customers have a demand curve of d₂ = 8,000 - 50p₂. The water/wastewater operation cost is c = $2 per unit or gallon.

What is the total profit at differential pricing?