WorksheetsQuantity Discount and Inventory Management Worksheet
Total questions: 30
Worksheet time: 20mins
Why do suppliers typically offer quantity discounts?
To reduce the inventory holding cost for buyers
To achieve economies of scale in shipping and packaging
To comply with regulations
To decrease demand
Which of the following is not part of total inventory cost in the Quantity Discount model?
Ordering cost
Holding cost
Purchase cost
Advertising cost
If a buyer orders 50 units, what is the purchase cost?
$900
$1,000
$1,800
$2,000
In the Quantity Discount model, why must we sometimes check a higher price range even if a lower price exists?
Higher prices always give higher demand.
Lower price might require larger quantities that increase holding cost.
Higher prices reduce ordering costs.
EOQ formula does not apply at lower prices.
A retail shop faces an annual demand of 2,400 units. The ordering cost is 50perorder,andtheannualholdingcostis 5 per unit. The shop is considering how often to order stock if no discounts are offered. What is the Economic Order Quantity (EOQ)?
60 units
100 units
140 units
160 units
A supplier offers the following price schedule for an electronic component: • 1–99 units: 50perunit•100–199units: 48 per unit • 200+ units: $45 per unit The buyer calculates an EOQ of 90 units (based on demand, ordering, and holding costs). Which price range is feasible for the EOQ of 90?
$50 per unit
$48 per unit
$45 per unit
None of the above
A company requires 12,000 units annually. The ordering cost is 100perorder,andtheannualholdingcostis20 10 per unit • 500–999 units: 9.50perunit•1,000+units: 9 per unit. At the $9.50 price level, what is the annual holding cost per unit?
$1.50
$1.90
$2.00
$9.50
A company faces an annual demand of 6,000 units. The ordering cost is 40perorder,andtheholdingcostis 2 per unit per year. What is the EOQ under these conditions?
200 units
300 units
400 units
600 units
A company faces an annual demand of 6,000 units. The ordering cost is 40perorder,andtheholdingcostis 2 per unit per year. The supplier offers the following discount schedule: • 1–299 units: 10perunit•300+units: 9.80 per unit. The company must decide whether to order at the EOQ or take advantage of the discount. Which option yields the lowest total annual cost?
Order 200 units at $10
Order 300 units at $9.80
Order 400 units at $9.80
Both A and B have the same cost
A wholesaler requires 24,000 units per year. Ordering cost is 120perorder,andtheannualholdingcostis25 20 per unit • 1,000–1,999 units: 19perunit•2,000+units: 18 per unit The wholesaler calculates the EOQ at the $19 price level as 1,200 units. Is this EOQ feasible, and what should the company do next?
Not feasible; check the $20 price level
Feasible; calculate total cost at 1,200 units
Not feasible; directly check the $18 price level
Automatically choose the lowest unit price ($18)
In a basic EOQ model with constant demand and constant lead time, the reorder point (R) is:
Equal to the EOQ
Equal to demand rate multiplied by lead time
If daily demand is 32 units, lead time is 7 days, what is the reorder point (without safety stock)?
32 units
224 units
39 units
256 units
The main purpose of safety stock is to:
Reduce EOQ
Eliminate demand variability
Protect against stockouts when demand or lead time is uncertain
Increase carrying cost
A service level of 90% means:
Probability of stockout is 90%
Probability of meeting demand during lead time is 90%
Probability of demand exceeding supply is 0.9
Inventory costs are reduced by 90%
A store has an average daily demand of 50 units. The lead time is 6 days. What is the reorder point for this store (without safety stock)?
50 units
300 units
56 units
250 units
If daily demand is normally distributed with mean 30 and standard deviation 5, and lead time is 10 days, what is the expected demand during lead time (without safety stock)?
30
50
300
326
A company has an average daily demand of 40 units, with a standard deviation of 8 units. The lead time is 9 days. If the company wants a service level of 97.5% (z = 1.96), what is the required safety stock?
10 units
47 units
72 units
90 units
Which formula correctly represents the reorder point when demand is variable?
R=EOQ+Safety Stock
R=dL
R=dL+zσd√L
R=zσdR
Reorder point mainly depends on:
Average daily demand
Average monthly sales only
Employee working hours
Supplier discounts
Which of the following statements is FALSE?
Reorder point depends on EOQ
Safety stock is a hedge against uncertainty
Service level reflects probability of meeting demand during lead time
Reorder point without uncertainty = demand during lead time
In a periodic review system, orders are placed:
Continuously
At fixed intervals
When stockouts occur
Randomly
If review period = 1 month, demand per month = 200 units, target level = 500, and current stock = 100, order quantity = ?
200
300
400
500
If demand is uncertain, companies in periodic systems add:
Extra employees
Safety stock
Higher prices
Marketing costs
In a periodic review system, orders are triggered by:
Reorder point
Time interval
Safety stock only
Random demand
A company reviews its inventory every 2 months. Average demand per month = 150 units. Lead time = 1 month. Safety stock = 100 units. Current inventory = 200 units. What should be the order quantity if the target level is set to cover demand during review period + lead time + safety stock?
250
300
350
400
In the formula T=(d×R)+(d×L)+SST, what does d represent?
Safety stock
Average demand per unit time
Lead time in days
In the formula T=(d×R)+(d×L)+SS what does L represent?
Lead time (time between order and delivery)
Review period
Daily demand
Lot size
If safety stock (SS) increases, the order quantity (Q) will:
Decrease
Increase
Stay constant
Equal EOQ
Which of the following statements is correct?
Order Quantity in periodic system is always equal to EOQ
Target level must cover review period demand and lead time demand
Reorder point and periodic review use the same formula
Safety stock is not included in target level
In an inventory system, “order receipt” refers to:
The moment when an order is placed
The moment when goods arrive at the warehouse
The time of calculating safety stock
The approval of purchase orders
