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perusahaan patung kayu membeli 8000 gelondongan kayu setiap tahunnya gai bahan baku satu-satunya perusahaan tersebut. Biaya pemesanan kayu tersebut ; besar Rp300.000 setiap kali melakukan pesanan. Biaya penyimpanan kayu tersebut $p_{0}^{30.000}$ setiap unit.
Jumlah unit pemesanan atau penyimpanan optimal perusahaan tersebut sebesar ...
A. 40 unit
B. 30 unit
C. 70 unit
D. 400 unit
✨ Quizard's Answer
Asked by 1 other people
Explanation:
B. 30 unit
To find the optimal order quantity, we can use the Economic Order Quantity (EOQ) formula:
EOQ = sqrt((2DS)/H)
where D is the annual demand (8000 units), S is the ordering cost (Rp300,000), and H is the holding cost per unit ($p_{0}^{30,000}$).
To convert the holding cost to Rp, we can use the exchange rate given in the problem: $1 = Rp15,000.
$p_{0}^{30,000}$ = $30,000 \times 15,000 = Rp450,000$
Substituting the values into the formula, we get:
EOQ = sqrt((2 x 8000 x 300000)/450000) = 40
However, this is the order quantity, not the total units of ordering and holding. To find the total units, we can use the formula:
Total units = sqrt((2DS)/H) + sqrt((2DH)/S)
Substituting the values, we get:
Total units = sqrt((2 x 8000 x 300000)/450000) + sqrt((2 x 8000 x 450000)/300000) = 30
Therefore, the optimal total units of ordering and holding is 30, which is option B.
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