Project Profit $250,000x 1 0.50 370,000x 30 140,000x0.70 3 4 500,000r 25 230,000x33 060 170,000x 6. 280,000x45 315,000r40 7 8 -0.40
The Accentuate Consulting Firm has eight projects for which it has contracted with clients to
develop computer systems and software. The firm has 35 team members it can assign to the projects. The firm has developed the following profit functions for each project, where equals
the number of team members assigned to a project: These functions take into account the project completion time, cost, and probability of successful
completion based on the number of team members assigned. The functions reflect the fact
that profit increases but at a decreasing rate as team members are assigned. Thus, as additional
team members are assigned to a project, the marginal effect decreases. Determine the optimal
number of team members to assign to each project in order to maximize profit.
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