The Operations Manager of a Body and Paint Shop Has

question 3

Essay

The operations manager of a body and paint shop has five cars to schedule for repair. He would like to minimize the throughput time (makespan) to complete all work on these cars. Each car requires body work prior to painting. The estimates of the times required to do the body and paint work on each are as follows:
$$\begin{array} { | c | c | c | } \hline \text { Car } & \begin{array} { c } \text { Body Work } \\\text { (Hours) }\end{array} & \text { Paint (Hours) } \\\hline \text { A } & 8 & 7 \\\hline \text { B } & 9 & 4 \\\hline \text { C } & 7 & 9 \\\hline \text { D } & 3 & 4 \\\hline \text { E } & 12 & 5 \\\hline\end{array}$$
a. Chart the progress of these five jobs through the two centers on the basis of the arbitrary order
A→B→C→D→E.
b. After how many hours will all jobs be completed?
$$\begin{array} { | l | l | l | l | l | l | l | l | l | l | l | } \hline \text { Body Work } & & & & & & & & & & \\\hline \text { Paint } & & & & & & & & & & \\\hline & 5 & 10 & 15 & 20 & 25 & 30 & 35 & 40 & 45 & 50 \\\hline\end{array}$$
c. Use Johnson's rule to sequence these five jobs for minimum total duration. Show your work in
determining the job sequence.
d. The optimal sequence is __________.
e. Chart the progress of the five jobs in this optimal sequence.
f. After how many hours will all jobs be completed?

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Definitions:

Wrong Person's Garage

A situation involving mistakenly entering or using someone else's garage premises, potentially leading to trespassing or property disputes.

Garage Sale

A sale of used household or personal items held privately, typically in the seller's garage or yard.

Battery

A criminal offense involving the unlawful physical acting upon a threat, notably harming another person.

Negligence

A failure to behave with the level of care that someone of ordinary prudence would have exercised under the same circumstances, often leading to harm or damage.