A large consulting firm is deciding on if its workforce should be expanded, maintained, or decreased
Suppose that demand is given in week-long projects, and that a consultant can work on 3 projects each month (1 week off for personal leave and/or other duties such as conferences, etc). Currently there are 25 consultants. Ten consultants are trained for LEAN and 15 for Six Sigma, with 5 of those consultants being overlaps (the consultant is trained for BOTH LEAN and Six Sigma). Assume that all consultants can do the general work. Complete the table (the forecast period is an upcoming month) and prepare a recommendation.
Category Best Forecast (# projects) Likely Forecast (# projects) Worst Forecast (# projects) Max Demand in # of people Number of Qualified People
LEAN 42 24 12
Six Sigma 45 36 30
General 75 60 57
Category Best Forecast (# projects) Likely Forecast (# projects) Worst Forecast (# projects) Max Demand in # of people Number of Qualified People
LEAN 42 24 12 14 10
Six Sigma 45 36 30 15 15
General 75 60 57 25 25
NOTE: Student responses will vary but should follow the same principles.
Under the likely condition (24 + 36 + 60)/3 = 40 total consultants are needed but only 25 are available. Under the worst forecast 33 consultants are needed total but again only 25 are available. Thus the firm should hire more consultants, but which type?
Four additional LEAN trained consultants are needed to meet maximum demand, while the number of Six Sigma consultants is adequate. However, there is an overlap of 5 consultants being counted in each category, so the hiring recommendation must be at least 4 LEAN consultants and then 5 additional consultants that can perform either LEAN or Six Sigma, for a total of 9 trained consultants. To meet likely demand 15 total consultants must be added, so 6 general consultants at a minimum should be hired. Thus the recommendation is for: At least 15 consultants, with a minimum of 4 trained in LEAN and a minimum total of 9 trained in either LEAN or Six Sigma.
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