Develop a Solution for the Following Line Balancing Problem, Allowing

question 50

Essay

Develop a solution for the following line balancing problem, allowing a cycle time of 5 minutes.
a. Draw the precedence diagram for the set of tasks.
b. Calculate the theoretical minimum number of workstations.
c. Balance this line using the longest task time heuristic.
d. What tasks are assigned to which stations?
e. Does the solution have the minimum number of stations?
Explain.
f. How much idle time is there, summed over all workstations?
g. What is the efficiency of this line?
$\begin{array}{|c|c|c|}\hline\text { Work Task } & \begin{array}{c}\text { Task Time } \\\text { (seconds) }\end{array} & \begin{array}{c}\text { Task } \\\text { Predecessor(s) }\end{array} \\\hline \mathrm{A} & 70 & - \\\hline \mathrm{B} & 60 & \mathrm{~A} \\\hline \mathrm{C} & 120 & \mathrm{~B} \\\hline \mathrm{D} & 60 & - \\\hline \mathrm{E} & 240 & \mathrm{C}, \mathrm{D} \\\hline \mathrm{F} & 100 & \mathrm{~A} \\\hline \mathrm{G} & 190 & \mathrm{E}, \mathrm{F} \\\hline\end{array}$

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Definitions:

Single Plantwide

A method used to allocate manufacturing overhead to products, using a single overhead rate for the entire manufacturing plant.

Overhead Rate

The rate at which indirect costs are allocated to produced goods or services, often expressed as a percentage of direct labor or materials cost.

Activity-based Costing

An accounting method that assigns costs to products or services based on the activities they require, improving costing accuracy.

Overhead Cost

Overhead Cost encompasses indirect expenses related to operating a business that are not directly tied to a specific product or service, such as rent, utilities, and administrative salaries.