In: Math
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 to build the wall of the cylinder is $300/m2. Also, the top of the cylinder is to have a circular hole that will occupy 1/4 of the top area. Find the dimensions, to 2 decimal places, of the cylinder to minimize the cost. What is the cost, rounded to the nearest hundred, to build the cylinder?