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Zorluk: OrtaShort-Run Production and Law of Diminishing Returns

A printing press operates in the short run with fixed machinery and equipment. The table below shows the total product (TPTP, measured in thousands of pages) obtained as successive units of variable labor (LL) are employed:

Labor (LL)Total Product (TPTP)
115
238
354
464
570

With the addition of which unit of labor do diminishing marginal returns set in?

  1. A
    The 2nd unit of labor
  2. The 3rd unit of laborCevap
  3. C
    The 4th unit of labor
  4. D
    The 5th unit of labor

Cevap

The 3rd unit of labor
The correct response identifies the 3rd unit of labor because marginal product (MPMP) reaches its peak at 2323 units with the 2nd worker, and then decreases to 1616 units with the addition of the 3rd worker. According to the Law of Diminishing Returns, diminishing marginal returns set in at the point where addition of a variable factor causes marginal product to start declining.

Adım Adım Çözüm

1
Calculate the Marginal Product (MPMP) for each successive unit of labor using MP=TPnTPn1MP = TP_n - TP_{n-1}.
MP1=150=15MP_1 = 15 - 0 = 15; MP2=3815=23MP_2 = 38 - 15 = 23; MP3=5438=16MP_3 = 54 - 38 = 16; MP4=6454=10MP_4 = 64 - 54 = 10; MP5=7064=6MP_5 = 70 - 64 = 6.
Marginal product measures the additional output generated by adding one extra unit of variable input.
2
Identify the point where MPMP reaches its peak and begins to decrease.
MPMP increases from 1515 (1st worker) to 2323 (2nd worker), then drops to 1616 upon adding the 3rd worker.
The Law of Diminishing Returns states that as variable units of an input are added to fixed inputs, a point is reached beyond which the additional (marginal) output starts to decline.
3
Determine the specific unit of labor that causes MPMP to decline.
Adding the 3rd worker causes MPMP to fall from 2323 to 1616.
Diminishing marginal returns set in with the addition of the input unit that yields a lower marginal product than the preceding unit.

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Short-Run Production and Law of Diminishing Returns
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