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:

Unlimited Wants

The economic concept that humans have an endless number of desires for goods and services, even if resources for fulfilling those desires are limited.

Entrepreneurship

The act of starting and managing a business venture, along with any of its risks, in order to make a profit and innovate in the market.

Financial Capital

The money, credit, and other forms of funding that businesses use to invest in resources for future growth.

Opportunity Cost

Waiving prospective gains from various alternatives by settling on one option.