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The Management of Foy Corporation Would Like to Investigate the Possibility

question 12

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The management of Foy Corporation would like to investigate the possibility of basing its predetermined overhead rate on activity at capacity. The company's controller has provided an example to illustrate how this new system would work. In this example, the allocation base is machine-hours and the estimated amount of the allocation base for the upcoming year is 86,000 machine-hours. In addition, capacity is 94,000 machine-hours and the actual level of activity for the year is 88,200 machine-hours. All of the manufacturing overhead is fixed and is $6,790,560 per year. For simplicity, it is assumed that this is the estimated manufacturing overhead for the year as well as the manufacturing overhead at capacity. It is further assumed that this is also the actual amount of manufacturing overhead for the year.
-If the company bases its predetermined overhead rate on capacity,by how much was manufacturing overhead underapplied or overapplied?


Definitions:

Contingency Table

A table used in statistics to display the frequency distribution of variables, helping in analyzing the relationship between different categorical variables.

Frequency of Occurrence

The rate at which a particular event or outcome happens within a specific interval of time or within a given data set.

Chi-square Test for Independence

A statistical method employed to assess if a significant relationship exists between two variables of categorical type.

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, typically defined as the sample size minus the number of parameters estimated.

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