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2) A hedge fund manager wants to get the most return for clients while diversifying risk. | The manager can invest funds in stocks, mutual funds, oil futures, real estate, or cryptocurrency. The estimated returns for each of the investment options are 14%, 12%, 16%, 11%, and 13%, respectively. Of the $250M available for investment, at least $82M must be invested in mutual funds. A maximum of $50M can be invested in oil futures and cryptocurrency. At least 25% of the investment should be made in real estate and at most 50% should be invested in stocks. a. Solve the linear program using Solver and write the strategy. (10 pts) b. Run a sensitivity analysis and identify the constraints that are binding. (10 pts) C. What is the change in the objective function value if at least $102M must be invested in mutual funds and a maximum of $40M can be invested in oil futures and cryptocurrency? (10 pts)