A Firm Is Planning to Set Up an Assembly Line

question 3

Essay

A firm is planning to set up an assembly line to assemble 40 units per hour, and 57 minutes per hour are productive. The time to perform each task and the tasks which precede each task are:
$\begin{array}{|c|c|c|}\hline\text { Task } & \begin{array}{c}\text { Preceding } \\\text { Task }\end{array} & \begin{array}{c}\text { Time to } \\\text { perform (min.) }\end{array} \\\hline \text { A } & -- & .69 \\\hline \mathrm{B} & \mathrm{A} & .55 \\\hline \mathrm{C} & \mathrm{B} & .92 \\\hline \mathrm{D} & \mathrm{B} & .59 \\\hline \mathrm{E} & \mathrm{B} & .70 \\\hline \mathrm{F} & \mathrm{B} & 1.10 \\\hline \mathrm{G} & \mathrm{C}, \mathrm{D}, \mathrm{E} & .75 \\\hline \mathrm{H} & \mathrm{G}, \mathrm{F} & .43 \\\hline \mathrm{I} & \mathrm{H} & .29 \\\hline\end{array}$
a. Draw a network diagram of precedence relationships.
b. Compute the required cycle time per unit in minutes.
c. Compute the theoretical minimum number of workstations required to produce 40 units per hour.
d. Balance this line using longest processing time.
e. What is the efficiency of the line obtained in part d?

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Definitions:

Tempting

Appealing or attractive, often in a way that makes someone want to do or engage in something impulsively.

Short-Term Reward

Instant gratification or benefits received immediately after completing a task or making a decision, contrasting with long-term rewards.

Neat Freak

An informal term for someone who is obsessively clean or orderly, often going to great lengths to maintain a specific level of tidiness.

Neatness

The quality of being clean, orderly, and tidy.