An Auto Company Must Meet (On Time) the Following Demands

question 63

Essay

An auto company must meet (on time) the following demands for cars: 5000 in quarter 1; 3000 in quarter 2; 6000 in quarter 3; 2000 in quarter 4. At the beginning of quarter 1, there are 500 autos in stock. The company has the capacity to produce at most 3600 cars per quarter. At the beginning of each quarter, the company can change production capacity. It costs $125 to increase quarterly production capacity by one unit. It also costs $60 per quarter to maintain each unit of production capacity (even if it is unused during the current quarter). The variable cost of producing a car is $2400. A holding cost of $200 per car is assessed against each quarter's ending inventory. It is required that at the end of quarter 4, plant capacity must be at least 5000 cars. Determine how to minimize the total cost incurred during the next four quarters.

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Definitions:

Confidence Interval

A range of values, derived from sample data, within which there is a certain level of confidence that the true population parameter lies.

Mean

The mean is the arithmetic average of a set of numbers, calculated by dividing the sum of all values by the count of the values.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how spread out the values are from the mean.

Confidence Interval

A confidence interval provides a range of values that likely contain the true value of an unknown population parameter, with a certain level of confidence.