Using this information set up the initial simplex matrix needed to solve the problem then perform all pivots needed using row operations to transform the matrix until the solution is feasible.

4. An investor is considering three types of investments: a high-risk venture into oil leases with a potential return of 15%, a medium-risk investment in bonds with a 9% return, and a relatively safe stock investment with a 5% return. He has $50,000 to invest. Because of the risk, he will limit his investment in oil leases and bonds to 30% (of the $50,000) and his investment in oil leases and stock to 50%. How much should he invest in each to maximize his return, assuming investment returns are as expected? a. Define the variables. Be specific with descriptive words. X1 #invested in oil leases x 2 = # Invested in bonds *3 - #invested in Stocks b. Clearly state the constraints (all inequalities) related to the feasible region. XIt x 2 + x 32 50, 000 X12 15,000 X 2 2 15, 000 X1 + X 3