1. An individual has $4,000 to invest and three opportunities are available to him. Each opportunity...

 

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1. An individual has $4,000 to invest and three opportunities are available to him. Each opportunity requires deposits in $1,000 amounts; the investor may allocate a;; the money to just one opportunity or split the money between them. The expected returns are tabulated as follows: Dollars Invested 0 1,000 2,000 3,000 4,000) Return from opportunity 1 0 2,000 5,000 6,000 7,000 Return from opportunity 2 0 1,000 3,000 6,000 7,000 Return from opportunity 3 0 1,000 4,000 5,000 8,000 Determine an optimal policy for the above problem using dynamic programming. 1. An individual has $4,000 to invest and three opportunities are available to him. Each opportunity requires deposits in $1,000 amounts; the investor may allocate a;; the money to just one opportunity or split the money between them. The expected returns are tabulated as follows: Dollars Invested 0 1,000 2,000 3,000 4,000) Return from opportunity 1 0 2,000 5,000 6,000 7,000 Return from opportunity 2 0 1,000 3,000 6,000 7,000 Return from opportunity 3 0 1,000 4,000 5,000 8,000 Determine an optimal policy for the above problem using dynamic programming.