Correct choice is (c) (Mzk/fy)^0.33
Explanation: The depth of plate girder for which area of steel used is minimum and will have minimum weight is called optimum depth. It is given by (Mzk/fy)0.33, Mz is moment resisted entirely by flanges, k = d/tw, d is depth of web, tw is thickness of web, fy = design strength of flanges.