LABOR ECONOMICS
LABOR ECONOMICS
8th Edition
ISBN: 9781260004724
Author: BORJAS
Publisher: RENT MCG
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Chapter 5, Problem 2P

(a)

To determine

Drive the algebra.

(b)

To determine

Determine why the supply curve is upward sloping.  

(c)

To determine

Graphically illustrate how the number of dirty jobs changes as technological advances allow the cost of making worksites cleaner to fall.

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Suppose you have been hired by a research firm trying to understand the market for Widgets (a hypothetical product).  Your analysis of the data indicates that the Demand curve for Widgets is estimated to be linear and given by equation Qd = 150 – 3P and the Supply curve for Widgets appears to be linear as well and is estimated as Qs = 2P – 20.   Graphically draw these two curves, labeling all relevant points (such as intercepts for each line) on the horizontal and vertical axes.
c) State the mathematical domain and the practical domain of this relation. d) Logically explain the shape of the graph in the practical domain. What is the significance of the C-intercept? What is the significance of the vertical asymptote? e) Suppose the health ministry has allocated a 30 million dollar budget for this vaccination program. Using your simplified fraction from part b), algebraically determine the percentage of the Alberta population that would be inoculated. Confirm your answer by finding this point on your DESMOS graph. f) if epidemiologists determine that 80% is required for herd immunity for this virus, what must the health ministry set aside in their budget for the vaccination program? Use a calculator to find a solution here.
(1) Consider a modern city in which office employment has been steadily shifting from the city center to suburban locations along beltways. Suppose that the city improves its mass-transit system, decreasing the monetary and time costs of radial travel. Assume that the improvement in the transit system does not affect the spatial distribution of residents. Will the improvement in the system speed up or slow down the movement of office firms to the suburbs?
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