Show step by step how you obtained your result in the case of problem solving in order to prevent loosing points.Also,explain in economic terms the meaning of the solutions provided.Observe the time constraint for submitting assignments.

Exercise 1

Corporation XYZ has the following data on labor input and production of commodity Z for each of the eight production periods.

Production Period 1 2 3 4 5 6 7 8

Labor Input 5 4 7 8 2 3 6 1

Total Output of Z 280 250 300 288 110 200 290 40

1. Use the data on labor input and total output to calculate the marginal and average product of labor input rates from one to eight.

2. Identify the regions of:

a.increasing returns of labor input

b. decreasing returns of labor input

c. negative returns of labor input

3.Suppose that the firm wants to maximize profits. Do we have sufficient information to determine the required output level that maximizes profits? If not, what additional information is needed

Exercise 2

For each of the following production functions,

determine whether returns to scale are decreasing, constant or increasing (show your computations).

a.Q = 3K + 2L + KL

b.Q = 20K^.7L^.5

The multiplicative production function in part b is known as: ________________________ production function.