Agents Hiring Problem – Optimal Hiring Plan
for the month of January. Agents earn an average of $3300 per month and work
160 hours per month. The projection is 26,400 agent hours will be required for
February, 29,040 agent hours will be required in March and 31,994 will be
required in the months of April and May.
Attrition during the
month of January is anticipated to be 5% so only 95% of the agents are trained
and working in January will be available for work in February. Efforts are
being made to improve attrition: The TSA expects to lose only 4% of agents
during February, 3% in March and 2% in May.
To ensure that enough agents will be available to meet the
demand, new agents must be hired and trained. During the one month training
period, trainees are paid $2,600.
Existing agents who normally work 160 hours per month are
able to work only 80 hours during the months they are training new people. How
many agents should be hired during the months of January to May?
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