Problem #$1$: A startup company is deciding whether to launch a new health drink in one of three markets: local, regional, or national. The success of the product depends on consumer response, which could be high, moderate, or low. Based on market research, the estimated profits $($in $$1,000$s$)$ under each scenario are shown below: Decision $\backslash$ Consumer Response High Moderate Low Local Launch $503010$ Regional Launch $10040-20$ National Launch $20060-100$ The marketing team believes the likelihood of each consumer response is as follows: $$ High: $30\%$ Moderate: $50\%$ Low: $20\%$ a$)$ Determine the best decision under each decision$-$making criteria $($e$.$g$.,$ Maximax, Maximin, Minimax Regret, and Expected Monetary Value$).$ Show your work by including a screenshot or photo of your calculations. $$ b$)$ Discuss the trade$-$offs between aggressive and conservative strategies. $$ c$)$ What is the Expected Value of Perfect Information?