the production technology of a firm is given in the table below. (i need the graph part c,d,e)

Number of workers

Units of output

0

0

1

49

2

86

3

110

4

130

5

145

6

157

7

167

a. Find the marginal product of labor (MPN) for each level of employment.

b. Assume that the price of a unit of output is $8. Calculate the number of workers that will be hired if the nominal wage rate = $144. Calculate the number of workers the firm will hire if the nominal wage is $104. Calculate the number of workers that the firm will hire if the nominal wage is $88.

c. Explain and graph the demand for labor curve of the firm.

d. Assume that the nominal wage = $144 and the price of a unit of output = $10. Calculate the number of workers that the firm will hire and the number of units of output that will be produced. Compare the answer with that in part (b). Give an intuitive economic explanation for the different answers.

e. Assume that the price of a unit of output = $8 and the nominal wage rate = $144. Assume that a new technology increases the number of units of output that each worker can produce by 30%.Calculate the number of workers that the firm will hire and the number of units of output that will be produced. Compare the answer with that in part (b). Give an intuitive economic explanation of the different answers.