REMEDIAL CO makes a brake plate which includes two components: Component Sigma and Component Zeta.

These components are produced in a Production resource and then assembled together in Assembly. A typical production cycle will include 300 units of Component Sigma and 700 units of Component Zeta and would involve two setups to switch between the two types of components. Each setup takes 35 minutes.

Suppose that Production of these components has 1 worker and is the bottleneck resource in the process. Each Component Sigma takes 1 minutes to make and each Component Zeta takes 3 minutes to make.

Assume that there is sufficient demand and the process is capacity-constrained. Further assume that the Production resources is the bottleneck resource. You are further told that:

Number of units of Component Sigma needed to make each brake plate = 3

Number of units of Component Zeta needed to make each brake plate = 7

(p) Suppose that Production of these components has 1 worker. Suppose that Assembly also has 1 worker who is able to assemble a brake plate in 28 minutes. What is the average inventory of Component Zeta?

(q) Suppose that Production of these components has 1 worker. Suppose that a brake plate is assembled at the Assembly resource in 28 minutes. If REMEDIAL CO designs a cyclic schedule for the Production resource, how many Component Sigma should they make in each batch so as to minimize inventory while not constraining the flow rate of the process? (Number of workers at Assembly = 1)

(r) Suppose that Production of these components has 1 worker. Suppose that a brake plate is assembled at the Assembly resource in 28 minutes. If REMEDIAL CO designs a cyclic schedule for the Production resource, how many Component Zeta should they make in each batch so as to minimize inventory while not constraining the flow rate of the process? (Number of workers at Assembly = 1)

(s) Suppose that Production of these components has 1 worker. Suppose that a brake plate is assembled at the Assembly resource in 28 minutes. If REMEDIAL CO designs a cyclic schedule for the Production resource, what batch size (in component sets) should it operate so as to minimize inventory while not constraining the flow through assembly? (Number of workers at Assembly = 1)