A manufacturer of kitchen appliances is preparing to set the price on a new blender. Demand is thought to depend on the price and is represented by the model

Demand$=2,500-3*$Price

The accounting department estimates that the total costs can be represented by

Total Cost$=5,000+5*$Demand

You were asked to develop a model for the total profit.

Total Revenue$=$Demand$*$Price

Total Profit$=$Total Revenue$-$Total Cost

Implement the model on a spreadsheet and use nonlinear optimization with Solver to find the price that maximizes profit. What is the total profit?