The Alternatives 1 and 2 in the Following Payoff Table

question 36

Essay

The alternatives 1 and 2 in the following payoff table represent the two possible manufacturing strategies that the EKA manufacturing company can adopt.The level of demand affects the success of both strategies.The states of nature (S_I)represent the levels of demand for the company products.S₁,S₂ and S₃ characterize high,medium and low demand respectively.The payoff values are in thousands of dollars. The management believes that the weather conditions significantly affect the level of demand.48 monthly sales reports are randomly selected.These monthly sales reports showed 15 months with high demand,28 months with medium demand,and 5 months with low demand.12 of the 15 months with high demand had favorable weather conditions.14 of the 28 months with Medium demand had favorable weather conditions.Only 1 of the 5 months with low demand had favorable weather conditions.
What is the probability that weather conditions are poor,given that the demand is high? What is the probability that weather conditions are poor,given that the demand is medium? What is the probability that weather conditions are poor,given that the demand is low?

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Definitions:

Economies of Scale

The cost advantages that enterprises obtain due to their scale of operation, resulting in cost per unit of output decreasing with increasing scale.

Diseconomies of Scale

The phenomenon where production costs per unit increase as an operation scales up, typically due to inefficiencies or increased complexities.

Long-Run

The long-run refers to a period in economics where all factors of production and costs are variable, allowing all inputs to be adjusted.

Short-Run

A period in economics during which at least one factor of production is fixed, focusing on immediate effects and adjustments.