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3 years ago

Can you solve this activty for me please got stuck,

Business

1 answer:

Katyanochek1 [597]3 years ago

4 0

Answer:

a. The marginal product of each white worker is 143%

b. The marginal product of each black worker is 70%

c. Since, adjusted wage of black labor with d=0.2 is less than the wage of white labor of $2,000, the profit maximizing firm would hire only black labor.

Since, adjusted wage of black labor with d=0.8 is greater than the wage of white labor of $2,000, the profit maximizing firm would hire only white labor.

d. Value of D coefficient that allows to employ black and white labor is 0.43

Explanation:

According to the given data we have the following:

Weekly wage for white labor is $2,000

Weekly wage for black labor is $1,400

production function is Q = 10(EW + EB)

manager production function is Q = 10EW + 10(1 – d) EB

Price of the product is $240

Weekly output is 150 units

a. To calculate the value of the marginal product of each white worker we use the following formula:

marginal product of each white worker=Weekly wage for white labor/Weekly wage for black labor

marginal product of each white worker=$2,000/$1,400

marginal product of each white worker=1.43=143%

b. To calculate the value of the marginal product of each black worker we use the following formula:

marginal product of each black worker=Weekly wage for black labor/Weekly wage for white labor

marginal product of each black worker=$1,400/$2,000

marginal product of each black worker=0.7=70%

c. To describe the employment decision we have to calculate the adjusted wage of black labor with d=0.2 and d=0.8 as follows:

adjusted wage of black labor with d=0.2=Wage black(1+D coefficient)

=1,400(1+0.2)

=1400(1.2)

=1,680.

Since, adjusted wage of black labor with d=0.2 is less than the wage of white labor of $2,000, the profit maximizing firm would hire only black labor.

adjusted wage of black labor with d=0.2=Wage black(1+D coefficient)

=1,400(1+0.8)

=1,400(1.8)

=2,520

Since, adjusted wage of black labor with d=0.8 is greater than the wage of white labor of $2,000, the profit maximizing firm would hire only white labor.

d. To calculate for what value(s) of d is a firm willing to hire blacks and whites we would have to calculate the following formula:

Wage black(1+D coefficient)=Wage white

1,400(1+D coefficient)=2,000

(1+D coefficient)=2,000/1,4000

D coefficient=1.43-1

D coefficient=0.43

Value of D coefficient that allows to employ black and white labor is 0.43

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