A firm has a productivity equation is labour and K is capital. K² where L The unit cost (cost for each unit of production) is c = 2. The price in the market for the good is 15. The wage for each hour is w=10. Also, there is a fix cost equal to K Furthermore, there is a worker with utility equation. U = C² R where C is the consumption and the price of consumption good is P. = 1. The maximum working hours (T) per week are 100. So, T = L + R where R is the leisure time. с Calculate the optimum decision for working hours, leisure time and consumption by the consumer. Then calculate the capital investment by the firm for the maximisation of the profits. (Hind: This is the only worker for the firm and he will decide for the working hours, so the firm will decide for the capital. Assume that L = Q)

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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A firm has a productivity equation Q = L K² where L
is labour and K is capital.
The unit cost (cost for each unit of production) is c =
2. The price in the market for the good is 15.
The wage for each hour is w=10. Also, there is a fix
cost equal to K
Furthermore, there is a worker with utility equation
U = C² R where C is the consumption and the price
of consumption good is P 1. The maximum
working hours (T) per week are 100. So, T = L + R
where R is the leisure time.
с
=
Calculate the optimum decision for working hours,
leisure time and consumption by the consumer.
Then calculate the capital investment by the firm for
the maximisation of the profits.
(Hind: This is the only worker for the firm and he
will decide for the working hours, so the firm will
decide for the capital. Assume that L = Q)
Transcribed Image Text:A firm has a productivity equation Q = L K² where L is labour and K is capital. The unit cost (cost for each unit of production) is c = 2. The price in the market for the good is 15. The wage for each hour is w=10. Also, there is a fix cost equal to K Furthermore, there is a worker with utility equation U = C² R where C is the consumption and the price of consumption good is P 1. The maximum working hours (T) per week are 100. So, T = L + R where R is the leisure time. с = Calculate the optimum decision for working hours, leisure time and consumption by the consumer. Then calculate the capital investment by the firm for the maximisation of the profits. (Hind: This is the only worker for the firm and he will decide for the working hours, so the firm will decide for the capital. Assume that L = Q)
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