Powered by Koffee Powered by Koffee PBK is a new campus coff

(Powered by Koffee) Powered by Koffee (PBK) is a new campus coffee store. PBK uses 50 bags of whole bean coffee every month, and you may assume that demand is perfectly steady throughout the year 0713 PBK has signed a year-long contract to purchase its coffee from a local supplier, Phish Roasters, for a price of $25 per bag and an $85 fixed cost for every delivery independent of the order size. The holding cost due to storage is $1 per bag per month. PBK managers figure their cost of capital is approximately 2 percent per month. a. What is the optimal order size, in bags? b. Given your answer in (a), how many times a year does PBK place orders? c. Given your answer in (a), how many months of supply of coffee does PBK have on average? d. On average, how many dollars per month does PBK spend to hold coffee (including cost of capital)? Suppose that a South American import/export company has offered PBK a deal for the next year. PBK can buy a years\' worth of coffee directly from South America for $20 per bag and a fixed cost for delivery of $500. Assume the estimated cost for inspection and storage is $1 per bag per month and the cost of capital is approximately 2 percent per month e. Should PBK order from Phish Roasters or the South American import/export company? Quantitatively justify your answer

Solution

Answer :- To find out the optimal order size

EOQ formula:[(2*K*R)/h]

Here, order cost (K) is $85, flow rate (R) is 50 bags/month and holding cost (h) is ($1 + 2% * $25) = $1.50 per unit per month.

EOQ =[(2*85*50)/1.5]=75.3

The optimal order size is 75.3 bags.  

Answer:- Yearly demand is:         12 months/yr *50 bags/month = 600 bags/yr

PBK must place:

        Order size = 75.3 bags/order

        Number of orders = 600/75.3 = 7.97 orders a year

Answer:- The average inventory is half of the order quantity and hence 75.3/2 = 37.6 bags.

Because the monthly demand is 50 bags, the average inventory can supply 37.6/50 =0.753 months (or about 3 weeks)

Answer:- Cost of holding one bag for one month:

$1 of storage plus $25 * 2% = $0.50 cost of capital.

Because the average inventory is 37.6 bags, the monthly total holding cost is 37.6 * ($1 + $0.50) = $56.46/month