The Brain Bucket Company (BBC) produces helmets for winter sports. It has production facilities in Toronto and Winnipeg. The production function for the Toronto facility is (1) where LT is the quantity of labour hired in Toronto. The production function for the Winnipeg facility is Qw VLw, (2) where Lw is the quantity of labour hired in Winnipeg. The wage rate in Winnipeg is one and the wage rate in Toronto is two. Answer the following:

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Chapter1: Making Economics Decisions
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The Brain Bucket Company (BBC) produces helmets for winter sports. It has
production facilities in Toronto and Winnipeg. The production function for the
Toronto facility is
Qr
LT,
(1)
where LT is the quantity of labour hired in Toronto.
The production function for the Winnipeg facility is
VLw.
(2)
Qw
where Lw is the quantity of labour hired in Winnipeg. The wage rate in Winnipeg is
one and the wage rate in Toronto is two. Answer the following:
(a) If BBC wishes to produce Q helmets at the lowest possible cost, how should it
distribute production between the two cities? Use your answer to find a function
showing the cost of producing Q helmets.
Transcribed Image Text:The Brain Bucket Company (BBC) produces helmets for winter sports. It has production facilities in Toronto and Winnipeg. The production function for the Toronto facility is Qr LT, (1) where LT is the quantity of labour hired in Toronto. The production function for the Winnipeg facility is VLw. (2) Qw where Lw is the quantity of labour hired in Winnipeg. The wage rate in Winnipeg is one and the wage rate in Toronto is two. Answer the following: (a) If BBC wishes to produce Q helmets at the lowest possible cost, how should it distribute production between the two cities? Use your answer to find a function showing the cost of producing Q helmets.
(b) Suppose the production function for the Toronto facility is given by QT = 2LT
instead, while the production function for the Winnipeg facility remains as
above. What is the cost of producing Q helmets? How should output be
allocated between the two cities? Are there any situations in this case where
only one facility would be used? Explain.
%3|
Transcribed Image Text:(b) Suppose the production function for the Toronto facility is given by QT = 2LT instead, while the production function for the Winnipeg facility remains as above. What is the cost of producing Q helmets? How should output be allocated between the two cities? Are there any situations in this case where only one facility would be used? Explain. %3|
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