MAT 1600 Assignment 12 (20 pts) Due April 16, 2023 (5 pts) 3. Evaluate [x' vr + 1 dx. Answer the following questions. Show all work. (5 pts) 1. The demand function, in dollars, for a product is p = 300-5x -x', and its supply function is p=180+9x + x" . Find the producer's surplus for this product. (5 pts) 4. Find the area enclosed by the graphs of f(x)=xe" , y=0 and x= 1. (5 pts) 2. A continuous income stream has a flow rate of f(1) = 500e" , in dollars per year. If money is worth 5% compounded continuously, find the present value of the income for the next 8 years