1/3 1/3 2. Earl sells lemonade in a competitive market on a busy street corner in Philadelphia. His production function is f(1.2), where out- put is measured in gallons, z, is the number of pounds of lemons he uses, and 22 is the number of labor-hours spent squeezing them. (a) Does Earl have constant returns to scale, decreasing returns to scale, or increasing returns to scale? (b) Let wy be the cost of a pound of lemons and up the wage rate for lemon-squeezers. What is the cheapest way for Earl to produce lemonade? (e) If he is going to produce y units in the cheapest way possible, what is the number of pounds of lemons he will use? What is the number of hours of labor he will use? Write down the cost function. (d) As y increases, will the cost of production increase by more than proportional or less than proportional?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter22: Supply: The Costs Of Doing Business
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2. Earl sells lemonade in a competitive market on a busy street corner in
Philadelphia. His production function is f(1,2)=, where out-
1/3 1/3
put is measured in gallons, 21 is the number of pounds of lemons he uses,
and 22 is the number of labor-hours spent squeezing them.
(a) Does Earl have constant returns to scale, decreasing returns to scale,
or increasing returns to scale?
(b) Let wi be the cost of a pound of lemons and we the wage rate for
lemon-squeezers. What is the cheapest way for Earl to produce
lemonade?
(e) If he is going to produce y units in the cheapest way possible, what
is the number of pounds of lemons he will use? What is the number
of hours of labor he will use? Write down the cost function.
(d) As y increases, will the cost of production increase by more than
proportional or less than proportional?
Transcribed Image Text:2. Earl sells lemonade in a competitive market on a busy street corner in Philadelphia. His production function is f(1,2)=, where out- 1/3 1/3 put is measured in gallons, 21 is the number of pounds of lemons he uses, and 22 is the number of labor-hours spent squeezing them. (a) Does Earl have constant returns to scale, decreasing returns to scale, or increasing returns to scale? (b) Let wi be the cost of a pound of lemons and we the wage rate for lemon-squeezers. What is the cheapest way for Earl to produce lemonade? (e) If he is going to produce y units in the cheapest way possible, what is the number of pounds of lemons he will use? What is the number of hours of labor he will use? Write down the cost function. (d) As y increases, will the cost of production increase by more than proportional or less than proportional?
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