A firm uses the inputs of Iron and labor to produce Cars. Suppose that the quantity of labor is fixed. The quantity of Iron and the number of Cars produced is given by the following table:  Tons of Iron per week Number of Cars per week 0 0 10 50 20 100 30 170 40 220 50 250 60 260 70 250 80 200   What is the average product of Iron when 40 tons are used?  What is the marginal product of the 60th ton Iron? Does this production function exhibit diminishing marginal returns? If so, at what quantity of Iron do they start to occur?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A firm uses the inputs of Iron and labor to produce Cars. Suppose that the quantity of labor is fixed. The quantity of Iron and the number of Cars produced is given by the following table: 

Tons of Iron per week

Number of Cars per week

0

0

10

50

20

100

30

170

40

220

50

250

60

260

70

250

80

200

 

  1. What is the average product of Iron when 40 tons are used? 
  2. What is the marginal product of the 60th ton Iron?
  3. Does this production function exhibit diminishing marginal returns? If so, at what quantity of Iron do they start to occur? 
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