Question

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. Holding costs are $2 per unit each period. a. 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.)

Answer 1

Answer:

125 (hours)

Explanation:

Remember, the Linear programming model is simply a technique used to optimize a particular set of processes.

Note the statement from the question, "the manager has 125 hours of regular employment available for $10/hour each period." Which means this would form part of the constraints of the linear programming model.

In other words, the number of total hours available in period 1 is 125 hours.