Investment manager Max Gaines has several clients who wish to own a mutual fund portfolio that matches,as a whole,the performance of the S&P 500 stock index.His task is to determine what proportion of the portfolio should be invested in each of the five mutual funds listed below so that the portfolio most closely mimics the performance of the S&P 500 index.Formulate the appropriate nonlinear program. 
Definitions:
Ethical Challenges
Situations or decisions within businesses or organizations that involve moral dilemmas or require ethical considerations.
Developmental
Pertaining to the process of growth or improvement over time, often used in the context of personal, social, economic, or biological development.
Environmental Destruction
refers to the extensive damage or deterioration of the natural environment through human activities.
Competitive System
A framework within which businesses compete for market share, involving the dynamics of competition, strategies, and market forces.
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