Please provide the details/math to the below: Millennium Liquors is a wholesaler
ID: 2796108 • Letter: P
Question
Please provide the details/math to the below:
Millennium Liquors is a wholesaler of sparkling wines. Its most popular product is the French Bete Noire, which is shipped directly from France. Weekly demand is 45 cases. Millennium purchases each case for $120, there is a $300 fixed cost for each order (independent of the quantity ordered), and its annual holding cost is 25 percent.
a.
What order quantity minimizes Millennium’s annual ordering and holding costs?
b.
If Millennium chooses to order 300 cases each time, what is the sum of its annual ordering and holding costs?
c.
If Millennium chooses to order 100 cases each time, what is the sum of the ordering and holding costs incurred by each case sold?
d.
If Millennium is restricted to ordering in multiples of 50 cases (e.g., 50, 100, 150, etc.), how many cases should it order to minimize its annual ordering and holding costs?
e.
Millennium is offered a 5 percent discount if it purchases at least 1000 cases. If it decides to take advantage of this discount, what is the sum of its annual ordering and holding costs?
a.
What order quantity minimizes Millennium’s annual ordering and holding costs?
b.
If Millennium chooses to order 300 cases each time, what is the sum of its annual ordering and holding costs?
c.
If Millennium chooses to order 100 cases each time, what is the sum of the ordering and holding costs incurred by each case sold?
d.
If Millennium is restricted to ordering in multiples of 50 cases (e.g., 50, 100, 150, etc.), how many cases should it order to minimize its annual ordering and holding costs?
e.
Millennium is offered a 5 percent discount if it purchases at least 1000 cases. If it decides to take advantage of this discount, what is the sum of its annual ordering and holding costs?
Explanation / Answer
a)
Annual demand = 45*52 = 2340 cases
fixed order cost = 300
price = 120
holding cost = 25%*120 = 30
EOQ = SQRT(2*2340*300/30) = 216.33 cases
b)
total cost = order cost + holding cost
= (D/Q)*S + (H*Q)/2
= (2340/300)*300 + (30*300)/2
= 2340 + 4500
= 6840
c)
cost = (2340/100)*300 + (30*100)/2
= 7020 + 1500
= 8520
d)
if Q = 200
cost = (2340/200)*300 + (30*200)/2 = 6510
if Q = 250
cost = (2340/250)*300 + (30*250)/2 = 6558
Minimum at 200 cases
e)
cost = (2340/1000)*300 + (30*1000)/2
= 702 + 15000
= 15702
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