Question: A plastic injection molding machine operates 348 days a year. It is the bottleneck workstation in a process than produces plastic housed wall clocks. Industrial

A plastic injection molding machine operates 348 days a year. It is the bottleneck workstation in a process than 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 0.32 0.28 0.22 0.13 0.05

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 $1,980 per day including replacement parts, cleaning, and software upgrades. The cost of a breakdown of $1,850 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.

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