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The President of a Consulting Firm Wants to Minimize the Total

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Essay

The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client.Accordingly,she has estimated the time it should take for each of her top consultants-Charlie,Gerald,Johnny,and Rick-to complete any of the four projects,as follows: The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client.Accordingly,she has estimated the time it should take for each of her top consultants-Charlie,Gerald,Johnny,and Rick-to complete any of the four projects,as follows:   a.In how many different ways can she assign these consultants to these projects? b.What is the total number of hours required by the following arbitrary assignment? Charlie→B;Gerald→A;Johnny→D;Rick→C c.What is the optimal assignment of consultants to projects? (Use the assignment method;SHOW YOUR WORK!) d.For the optimal schedule,what is the total number of hours it will take these consultants to complete these projects? e.What is the significance,if any,of the fact that Gerald is the best performer at all four projects? a.In how many different ways can she assign these consultants to these projects?
b.What is the total number of hours required by the following arbitrary assignment?
Charlie→B;Gerald→A;Johnny→D;Rick→C
c.What is the optimal assignment of consultants to projects? (Use the assignment method;SHOW YOUR WORK!)
d.For the optimal schedule,what is the total number of hours it will take these consultants to complete these projects?
e.What is the significance,if any,of the fact that Gerald is the best performer at all four projects?

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Definitions:

Critical Problems

significant, urgent issues or challenges that require immediate attention and resolution to prevent adverse outcomes.

Certainty

The state of being completely confident or having an absolute conviction about something, without doubt.

Risk and Uncertainty

Refers to situations where the outcomes or consequences of actions are unknown, with risk implying some knowledge of probability and uncertainty indicating a complete lack of predictability.

Personal Judgments

Opinions or decisions formed by individuals based on personal feelings, tastes, or opinions, often without external input or influence.

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