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A Manager Is Applying the Transportation Model of Linear Programming

question 17

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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) ?


Definitions:

Full Employment

A condition in the economy where all potential labor forces are utilized in the most economically effective manner.

Market Economy

An economic system where decisions regarding investment, production, and distribution are based on supply and demand, and prices of goods and services are determined in a free price system.

Aggregate Demand

The sum total of all economic needs for goods and services, appraised at a constant overall price level in a stated period.

Excess Capacity

A situation where a company or economy can produce more goods or services than currently demanded, leading to unused resources or capacity.

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