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Alternatives 1 and 2 in the Following Payoff Table Represent

question 26

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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 (SI)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. 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<sub>I</sub>)represent the levels of demand for the company products.S<sub>1</sub>,S<sub>2</sub>,and S<sub>3</sub> characterize high,medium,and low demand,respectively.The payoff values are in thousands of dollars.   The management believes that weather conditions significantly affect the level of demand.48 monthly sales reports are randomly selected.These monthly sales reports show 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.Based on this information,the prior probabilities have been revised.If the weather conditions are favorable,P(S<sub>1</sub>)= .4286,P(S<sub>2</sub>)= .5357,and P(S<sub>3</sub>)= .0357;and if the weather conditions are poor,P(S<sub>1</sub>)= .1364,P(S<sub>2</sub>)= .6818,and P(S<sub>3</sub>)= .1818.It is also determined that the probability of favorable weather is 0.56 and the probability of poor weather is 0.44.Carry out a preposterior analysis and,using the revised probabilities,determine  (1)the expected monetary value when the weather conditions are favorable and  (2)the expected monetary value when the weather conditions are poor. The management believes that weather conditions significantly affect the level of demand.48 monthly sales reports are randomly selected.These monthly sales reports show 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.Based on this information,the prior probabilities have been revised.If the weather conditions are favorable,P(S1)= .4286,P(S2)= .5357,and P(S3)= .0357;and if the weather conditions are poor,P(S1)= .1364,P(S2)= .6818,and P(S3)= .1818.It is also determined that the probability of favorable weather is 0.56 and the probability of poor weather is 0.44.Carry out a preposterior analysis and,using the revised probabilities,determine
(1)the expected monetary value when the weather conditions are favorable and
(2)the expected monetary value when the weather conditions are poor.


Definitions:

Contingency Thinking

A decision-making process that takes into account various possible situations or outcomes and plans accordingly.

Total Quality Management

A management approach focused on long-term success through customer satisfaction, involving all members of an organization in improving processes, products, services, and culture.

Strategic Objectives

Specific, measurable goals that an organization aims to achieve to realize its strategic vision and mission.

System Inputs

The necessary resources, data, or materials required by a system to produce outputs.

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