Elsa's handicrafts has the production function f(x1,x2) = (min {x1 ,2x2})?, where x, is the amount of plastic used, x, is the amount of labor used, and f(x1,x2) is the number of lawn ornaments produced. Let w, be the price per unit of plastic and w2 be the wage per unit of
Elsa's handicrafts has the production function f(x1,x2) = (min {x1 ,2x2})?, where x, is the amount of plastic used, x, is the amount of labor used, and f(x1,x2) is the number of lawn ornaments produced. Let w, be the price per unit of plastic and w2 be the wage per unit of
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:3. Elsa's handicrafts has the production function f(x1,x2) = (min{x1 ,2x2})2, where x, is the
amount of plastic used, x, is the amount of labor used, and f(x1,x2) is the number of lawn
ornaments produced. Let w, be the price per unit of plastic and w, be the wage per unit of
labor.
а.
What is Elsa's cost function c(w1,w2,y)?
b. If wi = w2 = 1, then what is Elsa's marginal cost of producing y units of output?
What is the number of units of output that she would supply at price p? At these
factor prices, what is her average cost per unit of output?
c. If the competitive price of the lawn ornaments she sells is p = 48, and w, = w2 = 1,
how
many
will she produce? How much profit will she make?
d. More generally, at factor prices w, and w2, what is her marginal cost? At these
factor prices and an output price of p, what is the number of units she will choose
to supply?
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