The price p(t) of a product is assumed to satisfy the differential equation dp dt 1.2-0.3p. Complete parts (A) through (C) below. -0.31 (A) Show that p(t)=4-Ce is the general solution of this differential equation and evaluate p= lim p(t). 888 dp Substituting p=4-Ce-0.31 and into the differential equation gives on the left side of the equation and 1.2- on the right side of the equation dt Simplifying the left side gives and simplifying the right side gives This shows that p(t)=4-Ce -0.31 is a solution to the differential equation.