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A Local Company Makes Athletic Clothing and They Are Preparing

question 41

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A local company makes athletic clothing and they are preparing aggregate production plans on a quarterly basis for the coming year for their line of women's wear.They have the following information available to develop a level capacity and a matching demand plan:
Number of working days per quarter = 65 days
Number of hours per day per person = 8 hours
Labor standard to produce one unit = 5 hours
Demand for four quarters respectively:
12,300, 12,500, 12,200, 13,000 units
Cost of hiring a worker = $800
Cost of laying off a worker = $500
Inventory carrying cost per unit per year = $60
a.Using a level capacity plan, how many workers are needed each quarter?
b.For a matching demand plan, how many workers are needed each quarter respectively?
c.What is the inventory carrying cost using a level capacity plan?
d.What is the total cost to hire workers under a matching demand plan?

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Definitions:

Approximately Normally Distributed

Refers to a data set or population that closely follows a normal distribution, characterized by a bell-shaped curve.

Z-score

A statistical measure that describes a value's relationship to the mean of a group of values, measured in terms of standard deviations from the mean.

Finite Population Correction

An adjustment made to the standard formula for calculating sample size and variance when the sample size is a significant fraction of the total population.

Non-normal Probability Distribution

Describes a distribution of data that does not follow the normal distribution pattern, showing skewness or kurtosis different from a bell-shaped curve.

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