A Company Is Setting Up an Assembly Line to Produce

question 35

Essay

A company is setting up an assembly line to produce cellular telephones. They intend to use line balancing with the longest?task?time heuristic. They know the demand per hour is 40 phones and the productive time per hour is 54 minutes. Displayed below is the data they have collected regarding task precedence and times.
$\begin{array}{ccc} \underline{\text { Task }}& \underline{\text { Time in minutes) }} & \underline{ \text { Predecessors) }}\\\mathrm{A} & 40 & \text { none } \\\mathrm{B} & 1.20 & \mathrm{~A} \\\mathrm{C} & .90 & \mathrm{~A} \\\mathrm{D} & .70 & \mathrm{~B} \\\mathrm{E} & .60 & \mathrm{~B} \\\mathrm{~F} & .35 & \mathrm{C} \\\mathrm{G} & 1.00 & \mathrm{D}, \mathrm{E} \\\mathrm{H} & .80 & \mathrm{~F}, \mathrm{G}\\\mathrm{I} & .50 & \mathrm{~F}, \mathrm{H}\end{array}$

a. What is the cycle time?
b. What is the theoretical minimum number of workstations?
c. What tasks are assigned to the first workstation?
d. How many workstations are needed for the entire line?
e. What is the assembly-line efficiency?

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Definitions:

Toussaint Louverture

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An undeclared naval conflict between the United States and France from 1798 to 1800, arising from disputes over treaties and naval harassment.

Undeclared

Refers to a situation or status not officially announced or confirmed, often used in the context of wars, intentions, or academic majors.

Franchise

Franchise, in the context of politics, refers to the right to vote in public elections, an essential element of democratic governance and citizen participation.