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- Exercise 4. You are a manager at a certain factory that designs small gadgets. The factory has been quite successful in the past years. Your CEO is wondering whether or not it is a good idea to expand the factory this year. The cost to expand the factory is $1.5M. Doing nothing will result in expected $3M in revenue if the economy stays good and people continue to buy plenty of gadgets, but only $1M in revenue is expected if the economy is bad. On the other hand, expanding the factory carries an expected $6M in revenue if economy is good and $2M if the economy is bad. Assume there is a 40% chance of a good economy and a 60% chance of a bad economy. Also, assume the costs of operating the factory account to $.5M if the factory is expanded and $.3M if not. a. Illustrate a Decision Tree showing these choices. b. What should you do?Consider the relationship y = f(x). In this relationship: %3D Oa. y is called the independent variable and x is called the dependent variable. O b. y is called the range and x is called the domain. O c. yis called the dependent variable and x is called the independent variable. O d. y is called the domain and x is called the range.Explain the events in one sentence
- What was the ratio used for running economy in the study that tried to predict fastest possible human marathon times? velocity/02 consumption running power/02 consumption velocity x 02 consumption 02 consumption/velocity10. Suppose in our model, lifespans increased due to a productivity in- crease. What would likely happen to hours worked and leisure over the lifetime of a represent ative consumer. (a) Let's consider one of two common ways of implementing this change. Suppose the increase raised both lifespans and the amount of years consumers are healthy enough to work by the same amount, how would that likely affect the measured numbered of hours work by prime aged adults within a given year? What would likely hap- pen to the retirement age? (b) Let's consider the other way to implement it. Suppose the change in lifetimes came about changes in technology that delayed death but did not extend the amount of years consumers are healthy enough to work. What would likely happen to hours worked within a year? What would happen to the retirement age? (c) In the US, the generalized stylized fact is that the actual age of retirement is not increasing. Nor are hours worked per week. Why are both of the above…2