2.) Sugar Enterprises manufactures high speed personal computers as its main product line. Its short run production function is given by Q = 3600K - 4.5K² where Q is the number of computers produced in a week and K pertains to the number of units of capital. a.) How many units of capital are needed to maximize production output? b.) Find the maximum number of computers that can be produced by the firm in a week. c.) Compute the marginal product of the 200th unit of capital.
2.) Sugar Enterprises manufactures high speed personal computers as its main product line. Its short run production function is given by Q = 3600K - 4.5K² where Q is the number of computers produced in a week and K pertains to the number of units of capital. a.) How many units of capital are needed to maximize production output? b.) Find the maximum number of computers that can be produced by the firm in a week. c.) Compute the marginal product of the 200th unit of capital.
Chapter9: Production Functions
Section: Chapter Questions
Problem 9.1P
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Question
![2.)
Sugar Enterprises manufactures high speed personal computers as its main
product line. Its short run production function is given by Q = 3600K - 4.5K²
where Q is the number of computers produced in a week and K pertains to
the number of units of capital.
a.) How many units of capital are needed to maximize production
output?
b.) Find the maximum number of computers that can be produced by
the firm in a week.
c.) Compute the marginal product of the 200th unit of capital.
d.)
How many computers can be produced by the firm in a week if
there are 200 units of capital?
e.) Compute the marginal product of the 300th unit of labor.
f.) How many computers can be produced by the firm in a week if
there are 300 units of labor?
g.) Sketch the graph of the production function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F419302f0-9945-4af2-a5e6-57b171cb4d6d%2F3c95548d-bf59-4245-9ba1-6d6ea9ab5a98%2Fdgig9jog_processed.png&w=3840&q=75)
Transcribed Image Text:2.)
Sugar Enterprises manufactures high speed personal computers as its main
product line. Its short run production function is given by Q = 3600K - 4.5K²
where Q is the number of computers produced in a week and K pertains to
the number of units of capital.
a.) How many units of capital are needed to maximize production
output?
b.) Find the maximum number of computers that can be produced by
the firm in a week.
c.) Compute the marginal product of the 200th unit of capital.
d.)
How many computers can be produced by the firm in a week if
there are 200 units of capital?
e.) Compute the marginal product of the 300th unit of labor.
f.) How many computers can be produced by the firm in a week if
there are 300 units of labor?
g.) Sketch the graph of the production function.
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