A plastic injection molding machine operates 320 days a year. It is the bottleneck workstation in a process that produces plastic housed wall clocks. Industrial engineers collected data on the probability of machine breakdowns, the costs of preventive maintenance, and the cost of a breakdown. Number of Molding           Machine Breakdowns per Day 0 1 2 3 4 Probability of a breakdown 0.33 0.28 0.18 0.11 0.10 The cost of preventive maintenance is high due to performing it between 1 and 4 a.m. each day by two machine experts. The preventive maintenance cost is $2,070 per day including replacement parts, cleaning, and software upgrades. The cost of a breakdown of $1,890 is also high because the downstream workstations can only work until all work-in-progress inventory is completed; then the entire process must stop. What are the economics of the situation? Do not round intermediate calculations. Round your answers to the nearest cent. The expected cost of a breakdown per day is $ ___  . The manufacturing firm saves $___   per year by performing preventive maintenance daily on the injection molding machine.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

A plastic injection molding machine operates 320 days a year. It is the bottleneck workstation in a process that produces plastic housed wall clocks. Industrial engineers collected data on the probability of machine breakdowns, the costs of preventive maintenance, and the cost of a breakdown.

Number of Molding          
Machine Breakdowns per Day 0 1 2 3 4
Probability of a breakdown 0.33 0.28 0.18 0.11 0.10

The cost of preventive maintenance is high due to performing it between 1 and 4 a.m. each day by two machine experts. The preventive maintenance cost is $2,070 per day including replacement parts, cleaning, and software upgrades. The cost of a breakdown of $1,890 is also high because the downstream workstations can only work until all work-in-progress inventory is completed; then the entire process must stop. What are the economics of the situation? Do not round intermediate calculations. Round your answers to the nearest cent.

The expected cost of a breakdown per day is $ ___  .

The manufacturing firm saves $___   per year by performing preventive maintenance daily on the injection molding machine. 

Expert Solution
steps

Step by step

Solved in 3 steps with 13 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON