Statistic Question

Challenging Questions LP Model Formulation & Solution Innis Investment

Innis Investments manages funds for a number of companies and wealthy clients. The investment strategy is tailored to each client’s needs. For a new client, Innis has been authorized to invest up to $1.2 million in two investment funds: a stock fund and a money market fund. Each unit of the stock fund costs $50 and provides an annual rate of return of 10%; each unit of the money market fund costs $100 and provides an annual rate of return of 4%.

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The client wants to minimize risk subject to the requirement that the annual income from the investment be at least $60,000. According to Innis’s risk measurement system, each unit invested in the stock fund has a risk index of 8, and each unit invested in the money market fund has a risk index of 3; the higher risk index associated with the stock fund simply indicates that it is the riskier investment. Innis’s client has also specified that at least $300,000 be invested in the money market fund.

The question

1. Please formulate this problem. Show the definition of decision variables, objective functions, and constraints.

2. Please using Solver to solve this problem.

3. What is the optimal solution?