EXPECTED VALUE AND UNCERTANTY Problem 1: Expected Value Determine whether you would decide, based on profitability, to go with the product cluster of Product A, Product B, and Product Cor the product cluster of Product X, Product Y, and Product Z Cluster ABC Product A is expecting revenues of $800,000 and costs of $375,000. Product B is expecting revenues of $600,000 and costs of $134,000. Product C is expecting revenues of $700,000 and costs of $365,000. The probability of achieving these revenues and costs are 24% for Product A and 34% for Product C? Cluster XYZ Product X is expecting revenues of $850,000 and costs of $350,000. Product Y is expecting revenues of $650,000 and costs of $150,000. Product Z is expecting revenues of $720,000 and costs of $320,000. The probability of achieving these revenues and costs are 29% for Product X and 32% for Product Z? Your goal is to maximize profits. Which product cluster would you choose? For any credit, you must show all your work