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# Jill’s Job Shop buys two parts (Tegdiws and Widgets) for use in its production system from two different suppliers. The parts are needed throughout the entire 52-week year. Tegdiws are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. Widgets are ordered from a supplier who stops by every three weeks. Data for both products are as follows: ITEM Annual demand Holding cost (% of item cost) Setup or order cost Lead time Safety stock Item cost TEGDIW WIDGET \$10,000 \$5,000 20% 20% \$150.00 \$25.00 4 weeks 1 week 55 units 5 units \$10.00 \$2.00 a. What is the inventory control system for Tegdiws? That is, what is the reorder quantity and what is the reorder point? Item X is a standard item stocked in a company’s inventory of component parts. Each year the firm, on a random basis, uses about 2,000 of item X, which costs \$25 each. Storage costs, which include insurance and cost of capital, amount to \$5 per unit of average inventory. Every time an order is placed for more item X, it costs \$10. a. Whenever item X is ordered, what should the order size be? b. What is the annual cost for ordering item X? c. What is the annual cost for storing item X? Gentle Ben’s Bar and Restaurant uses 5,000 quart bottles of an imported wine each year. The effervescent wine costs \$3 per bottle and is served only in whole bottles because it loses its bubbles quickly. Ben figures that it costs \$10 each time an order is placed, and holding costs are 20 percent of the purchase price. It takes three weeks for an order to arrive. Weekly demand is 100 bottles (closed two weeks per year) with a standard deviation of 30 bottles. Ben would like to use an inventory system that minimizes inventory cost and will provide a 95 percent service probability. a. What is the economic quantity for Ben to order? A local service station is open 7 days per week, 365 days per year. Sales of 10W40 grade premium oil average 20 cans per day. Inventory holding costs are \$0.50 per can per year. Ordering costs are \$10 per order. Lead time is two weeks. Backorders are not practical—the motorist drives away. a. Based on these data, choose the appropriate inventory model and calculate the economic order quantity and reorder point. Describe in a sentence how the plan would work. Hint: Assume demand is deterministic. b. The boss is concerned about this model because demand really varies. The standard deviation of demand was determined from a data sample to be 6.15 cans per day. The manager wants a 99.5 percent service probability. Determine a new inventory plan based on this information and the data in a . Use Qopt from a .

Jill’s Job Shop buys two parts (Tegdiws and Widgets) for use in its production system from
two different suppliers. The parts are needed throughout the entire 52-week year. Tegdiws are
used at a relatively constant rate and are ordered whenever the remaining quantity drops to the
reorder level. Widgets are ordered from a supplier who stops by every three weeks. Data for
both products are as follows:
ITEM
Annual demand
Holding cost (% of item cost)
Setup or order cost
Lead time
Safety stock
Item cost

TEGDIW WIDGET
\$10,000
\$5,000
20%
20%
\$150.00
\$25.00
4 weeks
1 week
55 units
5 units
\$10.00
\$2.00

a. What is the inventory control system for Tegdiws? That is, what is the reorder quantity and
what is the reorder point?

Item X is a standard item stocked in a company’s inventory of component parts. Each year the
firm, on a random basis, uses about 2,000 of item X, which costs \$25 each. Storage costs, which
include insurance and cost of capital, amount to \$5 per unit of average inventory. Every time an
order is placed for more item X, it costs \$10.
a. Whenever item X is ordered, what should the order size be?
b. What is the annual cost for ordering item X?
c. What is the annual cost for storing item X?

Gentle Ben’s Bar and Restaurant uses 5,000 quart bottles of an imported wine each year. The
effervescent wine costs \$3 per bottle and is served only in whole bottles because it loses its
bubbles quickly. Ben figures that it costs \$10 each time an order is placed, and holding costs
are 20 percent of the purchase price. It takes three weeks for an order to arrive. Weekly demand
is 100 bottles (closed two weeks per year) with a standard deviation of 30 bottles.
Ben would like to use an inventory system that minimizes inventory cost and will provide a
95 percent service probability.
a. What is the economic quantity for Ben to order?

A local service station is open 7 days per week, 365 days per year. Sales of 10W40 grade premium
oil average 20 cans per day. Inventory holding costs are \$0.50 per can per year. Ordering
costs are \$10 per order. Lead time is two weeks. Backorders are not practical—the motorist
drives away.
a. Based on these data, choose the appropriate inventory model and calculate the economic
order quantity and reorder point. Describe in a sentence how the plan would work. Hint:
Assume demand is deterministic.
b. The boss is concerned about this model because demand really varies. The standard deviation
of demand was determined from a data sample to be 6.15 cans per day. The manager
wants a 99.5 percent service probability. Determine a new inventory plan based on this
information and the data in a . Use Qopt from a .

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