A Manager Is Applying the Transportation Model of Linear Programming

question 87

Essay

A manager is applying the transportation model of linear programming to solve an aggregate planning problem. Demand in period 1 is 100 units and in period 2 demand is 150 units. The manager has 125 hours of regular employment available for $10/hour each period. In addition, 50 hours of overtime are available for $15/hour each period. If holding costs are $2 per unit each period, how many hours of regular employment should be used in period 1 (assume demand must be met in both periods 1 and 2 for the lowest possible cost and that production is 1 unit per hour)?

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Definitions:

Forecast Error

The difference between the actual demand and the forecasted demand, highlighting inaccuracies in demand planning.

Forecast Error

The variance between what actually happens and the forecasts from prediction models.

Expected Value

Expected value is a concept in probability that calculates the average outcome when the future involves scenarios that may or may not happen.

Moving Average Forecast

A method used in time series analysis to smooth out short-term fluctuations and highlight longer-term trends or cycles.