An Electronics Manufacturer Makes Video Security Systems for Parking Lots

question 118

Essay

An electronics manufacturer makes video security systems for parking lots. Demand estimates for the next four quarters are 15, 19, 23, and 17 units. The company is preparing an aggregate plan that uses inventory, regular time, overtime, and backorders. Subcontracting is not allowed. Regular time capacity is 13 units for quarters 1 and 2, 16 units for quarters 3 and 4. Overtime capacity is 6 units per quarter. Regular time cost is $20,000 per system, while overtime cost is $30,000 per system. Backorder cost is $2000 per system per quarter; inventory holding cost is $1000 per system per quarter. Beginning inventory is 2.
Complete the table of data inputs for solving this aggregate planning problem with the transportation method. Specifically, how many sources are there, and how many destinations? What is the supply from each source, and the demand of each destination? What is the cost of each source-destination pair?

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Definitions:

Bootstrapping

Bootstrapping is a resampling technique used in statistics to estimate the distribution of a statistic by repeatedly sampling with replacement from the data set and calculating the statistic for each sample.

Sample Size

The number of observations or data points used in a statistical sample.

Bootstrap Standard Error

A method for estimating the standard error of a statistic by resampling with replacement from the original data.

Bootstrap Distribution

A statistical technique that resamples a dataset to create a distribution for estimating the sampling distribution.