Develop a Solution for the Following Line Balancing Problem, Allowing

question 45

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?
$$\begin{array} { | c | c | c | } \hline \text { Work Task } & \begin{array} { c } \text { Task Time } \\\text { (seconds) }\end{array} & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} \\\hline \text { A } & 70 & - \\\hline \text { B } & 60 & \mathrm {~A} \\\hline \text { C } & 120 & \mathrm {~B} \\\hline \text { D } & 60 & - \\\hline \text { E } & 240 & \mathrm { C } , \mathrm { D } \\\hline \text { F } & 100 & \mathrm {~A} \\\hline \text { G } & 190 & \mathrm { E } , \mathrm { F } \\\hline\end{array}$$

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Definitions:

Floating-Rate Debt

A type of debt instrument with interest rates that adjust periodically based on a benchmark interest rate or index.

Fixed Rate Debt

A type of loan or security with an interest rate that remains constant throughout the life of the loan or security.

Interest Rate Swaps

Financial derivatives contracts where two parties agree to exchange one stream of interest payments for another, based on a specified principal amount.

Net Interest

Net interest refers to the difference between the interest income generated by banks or financial institutions and the amount of interest paid out to their depositors.