# In an ideal inventory control system, the economic size for a part is 1000. If the annual demand for the part is doubled, the new economic lot size re

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In an ideal inventory control system, the economic size for a part is 1000. If the annual demand for the part is doubled, the new economic lot size required will be:
1. 100√2
2. 500
3. 1000
4. 1000√2

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Correct Answer - Option 4 : 1000√2

Concept:

Economic order quantity (EOQ) is represented with Q*

Q* = $\sqrt {\frac{{2D{C_0}}}{{{C_h}}}}$

Where D is annual demand, C0 is ordering cost, Ch is holding cost

Calculation:

Given:

Q* = 1000

$\sqrt {\frac{{2D{C_0}}}{{{C_h}}}}$ = 1000

When demand D will be doubled then the new economic order quantity will be:

Q*$\sqrt {\frac{{2\left( {2D} \right){C_0}}}{{{C_h}}}}$

=$\sqrt {\frac{{2D{C_0}}}{{{C_h}}}}$× √2

= 1000 × √2

= 1000√2