Answer: Please find answers below
Explanation:
(a) Economic order quantity EOQ =
= =
= 194.99 units
(b) Average number of units = Economic order quantity / 2
= 194.99 / 2
= 97.496 units
(c) Optimal number of orders = Annual Demand / Economic order quantity
= 5,900units / 194.99 units =30.26
(d) Optimal number of days between two orders = Number of working days / Optimal number of orders
= 250 days / 30.26
= 8.26
Total ordering cost = Cost per order X Number of orders
= $29 X 30.26
= $ 877.54
Total holding cost = Average inventory X carrying cost per unit
= 194.99 /2 X $9
= $877.455
(e) Annual cost of ordering and holding inventorY =Total ordering cost + Total carrying cost
= $ 877.54 + $877.455
= $ 1,754.995 ≈ $1,755
(f) Total annual inventory cost =Total ordering cost +Total holding cost + Actual cost of 5900 units at $102 per unit
= $ 877.54 + $877.455 + (5,900 x 102) = $1754.995 +601,800= $603,554.995≈$603,555
Total annual inventory cost =Total ordering cost +Total holding cost + Actual cost of 6000 units at $102 per unit
= $ 877.54 + $877.455 + (6000 x 102) = $1754.995 +612,000= $613,754.995≈$613,755