In: Advanced Math
Each year, Florida's Best Salad Dressing, Inc. (FBSD) purchases 50,000 gallons of extra virgin
olive oil. Ordering costs are $80.00 per order, and the carrying cost, as a percentage of inventory
value is 80 percent. The purchase price to FBSD is $0.50 per gallon. FBSD’s management currently
orders the EOQ each time an order is placed. No safety stock is carried. The supplier is now offering a
quantity discount of $0.03 per gallon if FBSD orders 10,000 gallons at a time. What is the net benefit
in dollars if FBSD takes the discount?
EOQ=
=
=
=
=4472.13
NO OF ORDERS=50000/4472.13
=11.18
TOTAL COST=(50,000/4472.13)($80)+($10,000/2)($0.50)(0.80)
=(11.18)(80)+(5000)(0.4)
=894.4+2000
=$2894.4
iF THE FIRM ORDER 10,000 GALLONS AT A TIME
TC=(50,000/10,000)($80)+($10,000/2)($0.47)(0.80)
=(5)(80)+(5000)(0.376)
=400+1880
=$2280
THEREFORE COST INCREASE BY 2280-2894.4=-614.4
THE BENEFIT IS (0.03)(50,000)=$1500
Thus the NET BENEFIT =$1500+$614.4=$2114.4