The document contains a series of mathematical and operational research problems. Here's an outline of the tasks required for each question:

Question 1:

• Expected Monetary Value (EMV): Calculate the EMV for Corporate Bonds, Equity Shares, and Certificates of Deposit using probabilities for favorable (0.70) and unfavorable (0.30) economies.
• Expected Opportunity Loss (EOL): Compute EOL and determine the best investment choice.
• Bayes’ Theorem: Determine probabilities for favorable and unfavorable economies using survey results.

Question 2:

• Linear Programming Model: Formulate a model with constraints related to machine hours for three brands (TXT, BLP, YRF).
• Optimal Solution: Solve to maximize profit and interpret slack/dual values.

Question 3:

• Minimizing Cost: Develop an LP model to minimize the cost of supplements (Memo+ and Omega) under nutrient constraints.
• Optimal Solution: Solve for minimum cost and interpret surplus values. Discuss impact of price changes.

Question 4:

• Binary Integer Programming: Formulate a model for product selection based on man-hour constraints.
• Optimal Product Mix: Determine the best combination of products to maximize profit, with additional constraints.

Question 5:

• Goal Programming: Formulate a goal programming model considering constraints on profit, cost, sales, and operation time.
• Solution Analysis: Identify which goals are fully met and analyze constraints.

Let me know which question or part you'd like to start with or require assistance solving, and