A cylindrical can is to be built to occupy a volume of 5000m3.The top and bottom of the cylinder cost $500/m2, wheras the cost tobuild the wall of the cylinder is $300/m2. Also, the top of thecylinder is to have a circular hole that will occupy 1/4 of the toparea. Find the dimensions, to 2 decimal places, of the cylinder tominimize the cost. What is the cost, rounded to the nearesthundred, to build the cylinder?
