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4. In Mexico, a small family owns a farm. They all work on the farm and there are no other dependents. Their total income per

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4. In Mexico, a small family owns a farm. They all work on the farm and there are no other dependents. Their total income per year depends on the number of members working on the farm that year. Total annual income is represented by the following chart: farm 1 2 3 A) C) D) 1300 174a - 2000 Each member has the chance to migrate to the nearest city where there are two different types of jobs. Informal sector jobs are available to everyone and pay $300. Formal sectorjobs are more difficult to get and pay $600. The probability of finding a job in the formal sector is 70%. Once a member migrates to the city she cannot return. Fill out the table above with the marginal product (MPL) and average product of labor (APL). What is the expected wage in the nearby city? Consider the case in which each member's wage is based on their respective marginal products. How many members will choose to migrate to the city? Show your work. Next suppose that income from the farm is divided evenly among the family members who stayed in the farm (members are paid their average product). How many members will migrate to the city? Show your work and explain. Which of the above answers maximize total family income? Explain using the economic principles that you learnt in class regarding maximizing family welfare

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