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1. The following table shows the total output (units) produced with various leve

ID: 1110755 • Letter: 1

Question

1. The following table shows the total output (units) produced with various levels of labor and each of two levels capital:

Labor (units)                      1             2             3             4

Capital = 2 units                20           50           70           80

Capital = 4 units                40           100        140        160

When capital is fixed at 2 units,

AP decreases after the _______________ (enter first, second, third, or fourth) units of labor;

(b) MP decreases after the _______________ (enter first, second, third, or fourth) units of labor;

(c) at L = 4, AP = ______________ units and MP = ______________ units;

(d) Assume the wage rate of labor is $200. As labor is increased from 1 to 2 units, AVC ______________ (enter rises, falls) from $______________ to $ ___________________.

Please round to whole number and show your work.

10. Suppose a firm is hiring 20 workers at a wage rate of $60. The average product of labor is 30, the last worker added 12 units of output, and total fixed cost is $3,600. Please answer in whole numbers and show your work.

(a) The average total cost is $ _______________.

(b) The marginal cost of the last unit produced is $________________.

Explanation / Answer

Ans:

1)

a) AP decreases after the secound unit of labor

b) MP decreases after the secound units of labor

c) at L = 4, AP = 80 / 4

= 20 units

   at L = 4, MP = 80 -70

   = 10 units

d) Assume the wage rate of labor is $200. As labor is increased from 1 to 2 units, AVC = falls from 10 i.e.($200/20) to $8 i.e.($400/50).

10) Total output = 20 * 30units

= 600 units

   Total cost = (20 * $30) + $36,00

   = $600 + $36,00

   = $42,00

  average total cost is = $42,00 / 600 units

   = $7

marginal cost of the last unit produced is = $60 / 12 units

= $5