Keuka Studies does custom metal sculptures of horses and other animals. A horse sculpture is composed of numerous parts. They use a lathe to construct two types of parts. The "Body" part is used to support the torso of the horse and the "Leg" part is used to support the legs. Each horse sculpture needs 1 Body part and 4 Leg parts. Switching between either of the types of parts requires 12 minutes. Once ready to produce, the lathe produces a Body part in 7 minutes and a single Leg part in 2 minutes. The lathe only makes horse parts. For parts (a)(d) assume Keuka operates a cyclic schedule in which they make 100 Body parts and then 400 Leg parts. Furthermore, assume the lathe is the bottleneck.

D.) Suppose Keuka is supply constrained and they have one worker who is able to assemble a horse sculpture in 16 minutes. What is the average inventory of the body parts?