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:

Partners' Equity

The owners' claim or interest in the assets of a partnership, after all liabilities have been subtracted.

Capital Account

An account used in economics and finance to track the net changes in a nation's assets and liabilities or a company's equity provided by shareholders and retained earnings.

Loss On Realization

The financial loss recognized when assets are sold for less than their carrying amount during the liquidation of a company.

Capital Balances

The amount of money that members or partners have invested in a business, reflecting their ownership interest.