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11.07.2021 12:30
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Given a Cobb-Douglas production function where α= β = 0.5: Q= (K^0.5) x (L^0.5)

Given a Cobb-Douglas production function where α= β = 0.5: Q= (K^0.5) x (L^0.5)

Required:
Find the equation for the isoquant when Q = 2,000.
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drma1084
drma1084
5,0(75 marks)

MRTS=-400

Explanation:

This equation basically says that the output that this firm produces is a function of Labor and Capital, where each isoquant represents a fixed output produced with different combinations of inputs

The equation for the isoquant when Q = 2,000 can be found as follows

Q=(K^{0.5})*(L^{0.5})

where Q = 2000

2000=(K^{0.5})*(L^{0.5})

(K^{0.5})=\frac{2000}{(L^{0.5})}

K=\left (\frac{2000}{(L^{0.5})} \right )^{2}

MRTS=-\left ( \frac{\frac{0.5*2000}{100}}{\frac{0.5*2000}{40000}} \right )

where

K=\left (\frac{2000}{(L^{0.5})} \right )^{2}

K=\left (\frac{2000}{(100^{0.5})} \right )^{2}

K=\left (\frac{2000}{(10)} \right )^{2}

K=200^{2}

K=40000

MRTS=-400

lfg0929
lfg0929
4,5(83 marks)
Wage employment is Someone who works as a salaried employee earning a set amount of money each week. They may be paid weekly, bi-weekly or monthly. Self employment is someone who is Self-employed is an individual whoworks for himself instead of working for an employer that pays a salary or a wage.

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