Many decisions involve a choice from among a small set of alternatives with uncertain consequences. We may formulate such decision problems by defining three things:

the decision alternatives that can be chosen,

the uncertain events $($also know as states of nature$)$ that may occur after a decision is made along with their possible outcomes, of which one and only one will occur,

the consequences associated with each decision and outcome, which are usually expressed as payoffs.

Given the following two situations, please match the descriptions to corresponding terminologies.

Scenario $1$ involves a manufacturer who can produce a part for $$\frac{125}{?}$ unit with a fixed cost of $$50,000.$ The alternative is to outsource production to a supplier at a unit cost of $$175.$ The demand is uncertain among four levels: $800,1000,1200,$ and $1400$ units.

Scenario $2$ involves planning a camping trip. You can either go to the coast or to the mountain but the coast is your favorite. The weather could be either dry on the coast and wet in the mountain, or wet on the coast and dry in the mountain. You will enjoy the camping trip if the weather is dry but will feel miserable if it is wet. You will also enjoy the coast more than you do the mountain because the camping facility on the coast is better than the one in the mountain.