A warehouse is considering two possible pallet sizes and stacking configurations for boxes that are $16$ wide by $24$ long by $10"$ high. Configuration $($b$)$ would use with $48"x48"$ pallets. Configuration $($c$)$ would use with $42"x42"$ pallets. In either case, the boxes will be stacked $4$ layers high.

a$.$ Calculate the space utilization for configuration b$?(5$ points$)$

b$.$ Calculate the space utilization for configuration c$?(5$ points$)$