A proposed grading plan requires 223,120 m3 of cut (excavation) and 206,670 m3 of fill. The excavated soil will be used as fill material. Laboratory tests on a series of undisturbed samples from the cut area produced an average dry unit weight of 17.0 kN/m3 and an average moisture content of 9.3%. A series of modified Proctor tests on representative bulk samples produced a maximum dry unit weight of 19.2 kN/m3 and an optimum moisture content of 10.2%. The project specifications require a relative compaction based on the modified Proctor test of at least 90%. a) Determine the shrinkage factor and compute the required volume of import or export, if any (the difference between the cut and fill volume; if the fill volume is larger than the cut volume, then the difference will have to be imported. Otherwise, the difference will have to be exported from the site). Use the dry unit weight of the cut when computing any import or export quantities. b) Determine the weight of any import or export soil, assuming it has a moisture content equal to the average moisture content in the cut. Express your answer in metric tons (1 metric ton