An Assembly Line with 11 Tasks Is to Be Balanced

question 116

Essay

An assembly line with 11 tasks is to be balanced. The longest task is 3.2 minutes, the shortest task is 0.4 minutes, and the sum of the task times is 16 minutes. The line will operate for 600 minutes per day.
(a) Determine the minimum and maximum cycle times.
(b) What range of output is theoretically possible for the line?
(c) What is the minimum number of stations needed if the maximum output rate is to be sought?
(d) What cycle time will provide an output rate of 200 units per day?

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Definitions:

Great Awakening

A series of religious revivals in the British American colonies during the 18th century, which emphasized personal faith, emotional experience, and the need for moral reform.

Religious Diversity

The existence of a variety of religious beliefs, practices, and institutions within a given society, reflecting the freedom of belief and pluralism.

Intellectualism

The exercise of the intellect or an emphasis on intellectual pursuits, often associated with a broad and deep understanding across multiple fields of study.

Frontier Dwellers

People living on the frontier or borderland of a country, often in the context of expanding settlements and the challenges of remote or undeveloped areas.