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Zorluk: OrtaShort-Run Production and Law of Diminishing Returns

A small-scale garment factory operates in the short run with a fixed quantity of equipment and variable labor (LL). When 33 tailors are employed, total output (TPTP) is 4545 shirts per day. When 44 tailors are employed, total output rises to 6464 shirts per day, and when 55 tailors are employed, total output reaches 7575 shirts per day. What is the marginal product (MPMP) of the 5th5\text{th} tailor?

Cevap: 11 shirts

Cevap

11 shirts
The marginal product of the 5th tailor is calculated as the change in total product divided by the change in labor units: MP5=TP5TP4=7564=11MP_5 = TP_5 - TP_4 = 75 - 64 = 11 shirts per day.

Adım Adım Çözüm

1
Determine the Total Product before and after employing the 5th tailor.
TP4=64TP_4 = 64 shirts and TP5=75TP_5 = 75 shirts.
Marginal product measures the change in total output resulting from employing one additional unit of variable input.
2
Calculate the Marginal Product (MPMP) using MP5=TP5TP4MP_5 = TP_5 - TP_4.
MP5=7564=11MP_5 = 75 - 64 = 11 shirts.
Subtracting the output of 4 tailors from the output of 5 tailors isolates the contribution of the 5th tailor.

Anahtar Kavram

Marginal Product Calculation
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