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A person wants to invest $10,000 into stocks: a high tech company (T) with an expected...

A person wants to invest $10,000 into stocks: a high tech company (T) with an expected annual return of 12% and a risk index of 8; and a regulated power company (P) with an expected annual return of 6% and a risk index of 2. To limit risk, the combined portfolio risk must be no more than 6 and the proportion of investment in T must be less than 60%.

a) Formulate the Investment Portfolio problem with the requirement of investing up to $10,000, and solve it graphically.

please include constraints, corner points and feasible region.

b): Compute the increase in annual return if the total investment is increased by $1,000.

c) Compute the increase in annual return if the constraint of portfolio risk index is increased from 6 to 7.

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