8(b).
A = Annual demand ie. 540,000 units per annum.
P = Purchase Price ie. Rs 24/unit
O= Ordering Cost ie. Rs 4
C = Inventory carrying cost = ₹24× 20% = Rs 4.8
Economic Order Quantity (EOQ) = √(2AO/C)
Ie. √(2×5,40,00×4/4.8)
=〉 √(43,20,000/4.8)
=〉 √9,00,000
=〉 Therefore, EOQ= 948.68 ≈ 949.
Hence optimum order quantity = 949 units
Calculation of Minimum Acquisition cost:
Minimum acquisition Cost = Total Purchase Cost + Total Ordering Cost + Total Inventory Carrying cost.
Total Purchase Cost = A × Purchase Cost per unit
Ie. =〉 5,40,000 × 24
=〉 ₹1,29,60,000.
Total Ordering Cost = (A/EOQ)×O
Ie. =〉 (5,40,000/949)×4
=〉 596 × 4
=〉 ₹2,276.
Total Inventory Carrying Cost = (EOQ+0/2)×C
Ie. =〉 (949+0/2)×4.8
=〉 474.5 × 4.8
=〉 ₹2,277.6 ≈ ₹2,278
Therefore Minimum Acquisition cost = ₹(1,29,60,000 + 2,276 + 2,278)
₹1,29,64,554.
Hence minimum cost of Acquisition = ₹1,29,64,554.
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Please be clear with the steps of the solution
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