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 following model. D=2,500 -4P The accounting department estimates that the total cost can be represented by the following model. C= 4,700 + 5D Develop a mathematical model for the total profit TP in terms of the price, P. A mathematical model for the total profit in terms of the price Pis TPEN. (Simplify your answer. Do not factor.)