7 Newsvendor (Single Period Model) Flashcards
Procurement cost c
Unit cost
p
Retail price
Salvage value
Residual value of depreciable asset at end of useful life (what we charge if we didn‘t manage to sell it)
For what kind of products do we use single period models?
For short lifecycle products
How many order opportunities do we have in the single period model?
Only one order opportunity
Do we know demand at the time of ordering/ does demand occur when we order?
No we don‘t know demand Asti will only occur after we order
If Order Quantity > Demand
=> Excess inventory
If order quantity < demand
Lose sales/profits
Steps to identify order quantity
- determine probability of different demand scenarios
- profits in each scenario
- given specific order quantity:
- weight each profit scenario according to its likelihood
- expected (average) profit for that scenario
=> ORDER QUANTITY THAT MAXIMIZES weighted average PROFIT
Profit if you sell everything (demand > order quantity)
Selling price x units sold - VC/unit x units sold - FC
Profits if you don’t sell everything (demand < order quantity)
Selling price * units sold - VC/unit * units bought - FC + salvage value * units not sold
Which order quantity will you choose?
The one that maximizes weighted avg profit
Expected/average profit
Profit considering all demand scenarios weighted by probability of occurrence
Underage Cost is the same as what?
Marginal profit: how much if extra jacket sold
Overage cost is the same as?
Marginal loss: how much if extra jacket not sold
How do you calculate underage cost
Cu= 𝑝 − 𝑐 (selling price - cost) (since could’ve sold it for selling price but would’ve needed to buy it for c)
How do you calculate overage cost
Co= c - s (variable cost - salvage value)
Underage cost (order too much or too little? Is MP or MC bigger? Is order quantity or demand larger?)
Order too little
MP > MC
Order qt > demand
Overage cost (order too much or too little? Is MP or MC bigger? Is order quantity or demand larger?)
Order too much
MP < MC
Order qt < demand
How do profits behave with increasing order quantities
As order quantities increase, profits will increase until a production qt reaches certain level, the profits decrease
4 characteristics newsvendor problem
- demand uncertain
- must order before demand realises
- can only order once
- cost for ordering too much and cost of ordering too few (miss out on profit)
Overage cost newsvendor
Co=c (since could not salvage and did not sell)
Overage cost newsvendor
Co=c (since could not salvage and did not sell)
What is the probability of overage cost
P(D<Q)
What is the probability of underage cost
P(D>Q)
Meaning Cycle service level (CSL)
Probability of having enough stock to meet demand