Answer:
$132,920
Explanation:
Annual demand D = 30,000
Order quantity Q = 5,000
Annual holding cost per unit H = $0.80
Annual holding cost = (Q/2)*H
Annual holding cost = (5,000/2)*$0.80
Annual holding cost = 2,500 * $0.80
Annual holding cost = $2,000
Annual shipping cost = $5,000
Unit cost = $4.00
Annual admin cost = $4,000
Lead time cost = (Lead Time*H*D)/Weeks per year
Lead time cost = 4*$0.80*30,000/ 50
Lead time cost = $1,920
Cost of product = Unit cost * D
Cost of product = $4 * 30,000
Cost of product = $120,000
Total cost = Total order cost + Holding cost + Admins cost + Cost of product + LT cost
Total cost = $5,000 + $2,000 + $4,000 + $120,000 + $1,920
Total cost = $132,920
Thus, the total annual costs given a shipment quantity of 5,000 gallons from Sharps is $132,920
