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Explain, using Supply/Demand analysis, the effects…

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PROBLEM SET HOWARD
ECON 315: Labor Economics
Spring 2015

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  1. Equilibrium. Explain, using Supply/Demand analysis, the
    effects of the following. For each, draw two graphs,
    one for the labor market (workers), and one for the output
    market (the product). Clearly lable each graph,
    curves, and equilibrium points.
    (a) A machine is developed that harvests oranges
    mechanically (on the market for laborers, and the orange
    market).
    (b) An economic expansion leads to a boom in housing
    construction (on the market for architects, and the
    housing market).
    (c) A large natural gas reserve outside of Pittsburgh is
    discovered (on the market for workers in the natural
    gas industry, and on the market for natural gas).
    (d) World War II kills a substantial fraction of unskilled
    (primarily young) workers in the countries involved
    (on the market for products made by low-skilled labor, and
    on the market for low-skilled labor).
  2. Equilibrium. Assume the child care industry is a
    perfectly competitive industry, and that child care workers
    are hired in a perfectly competitive labor market. There is
    a sizable Child Care Tax Credit, which lowers the
    taxes of those parents who put their children in (paid)
    child care while they (the parents) work.
    (a) Illustrate, on an S/D graph, the effect of the tax
    credit on the price and quantity of child care in the short
    run.
    (b) Illustrate, on an S/D graph, the effect of the tax
    credit on wages and employment in the nursing market
    (many nurses require child care for their children while
    they are at work).
    (c) Illustrate, on an S/D graph, the effect of the tax
    credit on wages and employment in the child care industry.
    An academic study (really) has found that the supply of
    child care workers is quite elastic. Be sure this is
    shown in your graph. Which changes more: the wages of child
    care workers, or the total number of child
    care workers employed? Why?
  3. Labor Demand. Around 1830, the invention of the chainsaw
    improved the harvest methods of lumber. Lumber
    became much cheaper to harvest and lumber production
    exploded in the United States. In the 1980s, with the
    invention of the single grip harvester, fewer lumberjacks
    were needed to harvest lumber.
    (a) Are chainsaws and lumberjacks complements in production
    or substitutes in production? Are single grip
    harvesters substitutes in production or complements in
    production with lumberjacks?
    (b) Consider the effect of the chainsaw on the demand for
    lumberjacks. Which is the primary reason demand
    increases: a scale effect of a substitution effect?
    (c) Consider the effect of the single grip harvesters on the
    demand for lumberjacks. Which is the primary
    reason demand increases: a scale effect of a substitution
    effect?
  4. Elasticity Assume that labor demand for life guards is
    perfectly inelastic and is given by the equation L
    d = 250,
    while the supply curve for life guards is given as L
    s = 150 + 10?, where ? represents the hourly wage rate.
    (a) What is the level of employment, wage and unemployment
    rate if the minimum wage is set at $7.25 per
    hour?
    (b) If the minimum wage is raised to $12 per hour, how many
    workers will lose their job? What is the
    unemployment rate?
    2

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