Costs and Location
1. A car rental agency uses 96 boxes of staples a year. The boxes cost $4 each. It costs $10 to order staples, and carrying costs are $0.80 per box on an annual basis.
Determine:
(A) the order quantity that will minimize the sum of ordering and holding boxes of staples
(B) the annual cost of ordering and carrying the boxes of staples
2. . A service garage uses 120 boxes of cleaning cloths a year. The boxes cost $6 each. Ordering cost is $3 and holding cost is 10 percent of purchase cost per unit on an annual basis.
Determine:
(A) The economic order quantity
(B) The total cost of carrying the cloths (excluding purchase price)
(C) The average inventory
3. . A shop that makes candles offers a scented candle, which has a monthly demand of 360 boxes. Candles can be produced at a rate of 36 boxes per day. The shop operates 20 days a month. Assume that demand is uniform throughout the month. Setup cost is $60 for a run, and holding cost is $2 per box on a monthly basis.
Determine the following:
(A) the economic run size
(B) the maximum inventory
(C) the number of days in a run
4. Estimated demand for gold-filled lockets at Sam 's Bargain Jewelry and Housewares is 2,420 lockets a year. Manager Veronica Winters has indicated that ordering cost is $45, and that the following price schedule applies: 1 to 599 lockets, $.90 each; 600 to 1,199 lockets, $.80 each; and 1,200 or more, $.75 each. What order size will minimize total cost if carrying cost is $.18 per locket on an annual basis?
5. Suppose that you are the manager of a production department that uses 400 boxes of rivets per year. The supplier quotes you a price of $8.50 per box for an order size of 199 boxes or less, a price of $8.00 per box for orders of 200 to 999 boxes, and a price of $7.50 per box for an order of 1,000 or more boxes. You assign a holding cost of 20 percent of the price to this inventory. What order quantity would you use if the objective is to minimize total annual costs
Determine:
(A) the order quantity that will minimize the sum of ordering and holding boxes of staples
(B) the annual cost of ordering and carrying the boxes of staples
2. . A service garage uses 120 boxes of cleaning cloths a year. The boxes cost $6 each. Ordering cost is $3 and holding cost is 10 percent of purchase cost per unit on an annual basis.
Determine:
(A) The economic order quantity
(B) The total cost of carrying the cloths (excluding purchase price)
(C) The average inventory
3. . A shop that makes candles offers a scented candle, which has a monthly demand of 360 boxes. Candles can be produced at a rate of 36 boxes per day. The shop operates 20 days a month. Assume that demand is uniform throughout the month. Setup cost is $60 for a run, and holding cost is $2 per box on a monthly basis.
Determine the following:
(A) the economic run size
(B) the maximum inventory
(C) the number of days in a run
4. Estimated demand for gold-filled lockets at Sam 's Bargain Jewelry and Housewares is 2,420 lockets a year. Manager Veronica Winters has indicated that ordering cost is $45, and that the following price schedule applies: 1 to 599 lockets, $.90 each; 600 to 1,199 lockets, $.80 each; and 1,200 or more, $.75 each. What order size will minimize total cost if carrying cost is $.18 per locket on an annual basis?
5. Suppose that you are the manager of a production department that uses 400 boxes of rivets per year. The supplier quotes you a price of $8.50 per box for an order size of 199 boxes or less, a price of $8.00 per box for orders of 200 to 999 boxes, and a price of $7.50 per box for an order of 1,000 or more boxes. You assign a holding cost of 20 percent of the price to this inventory. What order quantity would you use if the objective is to minimize total annual costs