A rectangular metal tank with an open top is to hold 256 cubic feet of liquid. What are the dimensions of the tank that require the least material to build? The tank that requires the least amount of material to build has length D ft, width |:| ft, and height |:| ft. (Simplify your answers.) Find the absolute maximum and minimum values of the following function on the given region R. f( x,y) = 4x2 -8x+ 8y2 +5; R = 1(x,y): (x- 1)2 + y2 51} . . . . . Determine the absolute maximum value of f on R. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The absolute maximum value of f on R is . (Simplify your answer.) O B. There is no absolute maximum value