multi objective linear programming and decision tree

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"Multi-Objective Linear Programming" and "Decision Tree" 1. ABC Company produces two products, Prod1 and Prod2, using two resources, R1 and R2. The resource requirements for production, weekly resource availability, product profits, and product costs are summarized in Table 1 . It is known that the minimum required weekly production quantity for Prod 1 is 60 , and that for Prod2 is 40 . If ABC Company would like to maximize the overall weekly product profit and minimize the overall weekly product cost at the same time, determine how many units of Prod1 and Prod2, respectively, ABC Company should produce each week. Table 1: Production requirements and cost/profit information. 2. CU Invest is considering investment in either the stock market or the real estate market. For the stock market, an investor could either go for "High-tech companies" or "Other businesses." Historical data show that investing in "High-tech companies" has a 25% chance of earning $350, a 40% chance of earning $200, and a 35% chance of losing $300, while investing in "Other businesses" has a 40% chance of earning $180, a 35% chance of earning $120, and a 25% chance of losing $100. On the other hand, for the real estate market, an investor could choose to invest in either "Commercial buildings" or "Residential buildings." It is known that investment in "Commercial buildings" has a 50% chance of making $200, a 30% chance of making $80, and a 20% chance of losing $160, while investment in "Residential buildings" has a 40% chance of making $150, a 40% chance of making $120, and a 20% chance of losing $80. Please help CU Invest with its investment decision using the Decision Tree method