Production function in the short run

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Reference no: EM133063397

Part I

A firm that manufactures office desks has the following production function in the short run:

Q = 400 L0.8 K0.5

where 

Q = the quantity of chairs produced in a month

L = the amount of labor (hours of work) used in a month

K = the amount of capital (building, machines, equipment) used.

Assume that in the short run L = 1,000 and K = 100.

  1. What is the quantity produced if L = 1,000 and K = 100?
  2. What is the quantity produced if L = 1,200 and K = 100?
  3. What is the quantity produced if L = 1,400 and K = 100?
  4. Does the law of diminishing marginal returns to labor apply to the production process? Why? Why not?

Part II

A company has a cost structure described in the table below. Using your knowledge of the types of costs involved in a production process, fill in the blanks in the table.

Quantity produced

Total Cost

Total Fixed Cost

Total Variable Cost

Average Total Cost

Average Fixed Cost

Average Variable Cost

Marginal Cost

0

100

 

0

-

-

-

-

1

 

 

 

160

 

 

 

2

 

 

80

 

 

 

 

3

 

 

 

65

 

 

 

4

 

 

 

 

 

 

10

5

 

 

120

 

 

 

 

6

 

 

 

40

 

 

 

7

 

 

180

 

 

 

 

8

 

 

 

 

 

30

 

9

421

 

 

 

 

 

 

10

 

 

 

 

 

 

100

Reference no: EM133063397

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