A Firm Is Planning to Set Up an Assembly Line

question 159

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:
$$\begin{array} { | c | c | c | } \hline \text { Task } & \begin{array} { c } \text { Preceding } \\\text { Task }\end{array} & \begin{array} { c } \text { Time to } \\\text { perform (min.) }\end{array} \\\hline \mathrm { A } & - - & .69 \\\hline \mathrm { B } & \mathrm { A } & .55 \\\hline \mathrm { C } & \mathrm { B } & .92 \\\hline \mathrm { D } & \mathrm { B } & .59 \\\hline \mathrm { E } & \mathrm { B } & .70 \\\hline \mathrm { F } & \mathrm { B } & 1.10 \\\hline \mathrm { G } & \mathrm { C } , \mathrm { D } , \mathrm { E } & .75 \\\hline \mathrm { H } & \mathrm { G } , \mathrm { F } & .43 \\\hline \mathrm { I } & \mathrm { H } & .29 \\\hline\end{array}$$ 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:

Assessing Adherence

The process of evaluating how well individuals follow their prescribed treatment plans, medication schedules, or therapeutic routines.

Medication Usage

The act of using drugs or remedies to treat or manage diseases or medical conditions.

Medication Event Monitoring System (MEMS)

A technology used to record the time and date of opening a medication bottle, helping to monitor patient adherence.

Patient Self-Report

A method of data collection where patients provide information on their health, symptoms, and treatment outcomes, often via questionnaires.