Answer
The cabinet moves in c and d
Work Step by Step
The cabinet will move when the force applied is larger than the force of kinetic friction. The first thing we need to do is find Ff,max or the maximum value of the force of static friction. To do so we need the value of the Normal Force. Since there are no external vertical forces on the cabinet, the weight is equal to the Normal Force. Therefore, the maximum value of the frictional force is 556N * 0.68 = 378 N
We see in parts c and d that the force is larger than this