Suppose that an economic production function cobb-douglas with parameter alpha = 0.3

a)Suppose that immigration increases the labour force by 10%. What happen to totol output ( inpercent ?), The rental price of capital?, The real wage? Show your working clearly

Total Output:

Total output will increase by 3%.

Total Output = (1 + 0.1)^0.3 * (1 + 0.1)^0.7
= 1.03

Rental Price of Capital:

The rental price of capital will decrease by 7%.

Rental Price of Capital = (1 + 0.1)^0.3 * (1 - 0.1)^0.7
= 0.93

Real Wage:

The real wage will increase by 4%.

Real Wage = (1 + 0.1)^0.3 * (1 + 0.1)^0.7
= 1.04