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Zorluk: OrtaShort-Run Production and Law of Diminishing Returns

A palm oil processing mill operates in the short run with fixed processing machinery and variable labor (LL). When 33 workers are employed, the average product (APAP) of labor is 1616 barrels per day. When a 4th4\text{th} worker is added, the total product (TPTP) increases to 6464 barrels per day. What is the marginal product (MPMP) of the 4th4\text{th} worker in barrels per day?

Cevap: 16 barrels

Cevap

The marginal product of the 4th worker is 16 barrels per day.
To find the marginal product of the 4th worker, first determine total output with 3 workers: TP3=AP3×3=16×3=48TP_3 = AP_3 \times 3 = 16 \times 3 = 48 barrels. The marginal product of the 4th worker is the change in total product when moving from 3 to 4 workers: MP4=TP4−TP3=64−48=16MP_4 = TP_4 - TP_3 = 64 - 48 = 16 barrels.

Adım Adım Çözüm

1
Calculate the Total Product for 3 workers (TP3TP_3)
TP_3 = 48 barrels
Total Product is calculated by multiplying Average Product by the number of workers (TP=AP×L=16×3=48TP = AP \times L = 16 \times 3 = 48).
2
Calculate the Marginal Product of the 4th worker (MP4MP_4)
MP_4 = 16 barrels
Marginal Product is the addition to Total Product resulting from employing one additional unit of labor (MP4=TP4−TP3=64−48=16MP_4 = TP_4 - TP_3 = 64 - 48 = 16).

Anahtar Kavram

Short-Run Production: Deriving Marginal Product from Average Product and Total Product
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Konular

Short-Run Production and Law of Diminishing Returns

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