(1) For demand function Q, = a-bP and supply function Q, = dP-c, using Cramer's rule %3D determine equilibrium price and equilibrium quantity.

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter16: Externalities, The Environment, And Natural Resources
Section: Chapter Questions
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(1) For demand function Q, = a-bP and supply function Q, = dP-c, using Cramer's rule
determine equilibrium price and equilibrium quantity.
(2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all
directions. Assuming that the area polluted is a circle and that its radius is increasing at a
rate of 2 ft/sec, determine how fast the area is increasing when the radius of the circle is 40
ft.
(3) A firms production function is Q(L) =15L -0.1L, where output (Q) is a function of a
single input labour (L).
(i) Find the number of workers required to maximize total product.
(ii) For what number of workers is average product maximum?
Transcribed Image Text:(1) For demand function Q, = a-bP and supply function Q, = dP-c, using Cramer's rule determine equilibrium price and equilibrium quantity. (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the area polluted is a circle and that its radius is increasing at a rate of 2 ft/sec, determine how fast the area is increasing when the radius of the circle is 40 ft. (3) A firms production function is Q(L) =15L -0.1L, where output (Q) is a function of a single input labour (L). (i) Find the number of workers required to maximize total product. (ii) For what number of workers is average product maximum?
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