Question

A Printed Circuit Board (PCB) machine installs integrated circuits onto a board. Before starting to produce a board, the PCB machine requires a 20 minute setup. Once in production, the PCB machine requires only 0.15 minutes per board.
(Round your answer to 2 decimal places.)

a. Currently, the PCB machine produces 500 boards between setups. Given this operating process, what is the capacity of the PCB machine (in boards per min)? ____ boards per minute (Round your percentage answer to 2 decimal places.)

b. Currently, the PCB machine produces 500 boards between setups. Given this operating process, what is the utilization of the PCB machine? _____ % (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

c. Demand for boards occurs at the rate of 2 boards per minute. What is the smallest batch size such that the PCB machine does not constrain the flow rate through the process? _____ batch size

Answer 1

Answer:

Explanation:

a)

Total time to prosuce 500 boards = 20minute + 0.15*500 = 20+75 = 95minutes

Capacity of the board = Number of boards produced/Time taken to produce the boards = 500/95 = 5.26 boards per minute

b)

Utilization = Production time/(set up time + production time) =

= 75/95 = 0.7894 = 78.94%

c)

2 boards per minute or 1 board per 1/2 minute

Batch size - x

Required cycle time*Batch size = Set up time + production time per board*Bacth size

0.25x = 20 + 0.15x

0.10x = 20

x = 200

Batch size = 200