An Assembly Line with 11 Tasks Is to Be Balanced

question 15

Essay

An assembly line with 11 tasks is to be balanced.The longest task is 2.4 minutes,the shortest task is 0.4 minutes,and the sum of the task times is 18 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:

Unit Contribution Margin

The difference between the selling price per unit and the variable cost per unit of a product, indicating how much each unit sold contributes to covering fixed costs and generating profit.

Break-even

The situation in which complete costs equate to total revenues, achieving a break-even point with no gains or losses.

Unit Sales

The number of individual units sold by a company during a specific period.

Degree of Operating Leverage

A measure of how sensitive a company's operating income is to a change in sales, indicating the extent to which fixed costs are used in the production process.