Wavelength Media: How Much Stock Is the Right Amount?

Operations
medium35 min0 submissions
Razorpay
Scenario

Wavelength Media distributes streaming products across US. One SKU family accounts for a disproportionate share of complaints.

Demand averages 1331 units a week with a standard deviation of 253 units. Replenishment lead time is 8 weeks and has itself been slipping. Each unit costs $351 to buy and carries at roughly 20% a year once warehousing, insurance and capital are counted. Gross margin is 29%.

The line currently stocks out about 16% of weeks. Sales say every stockout sends a customer to a competitor. Finance say inventory is already too high.

Supporting data

demand

weekly mean units
1331
weekly std dev units
253
coefficient of variation
0.19

supply

lead time weeks
8
lead time reliability
deteriorating

economics

unit cost
351
gross margin pct
29
annual holding cost pct
20

derived hints

mean demand over lead time units
10648
demand std dev over lead time units
716

current performance

service level pct
84
Your task

Advise the operations director. Your answer should provide:

  1. Analysis — the reorder point and safety stock implied by the demand and lead time, and what each service level costs.
  2. Risks — where the assumptions break, especially lead time variability.
  3. Recommendation — a target service level and stock policy, with the cash impact.

State any assumptions you make.

Ready to move forward? Up next: Northwind Energy: This Market Size Looks Too BigNext question
How you'll be graded

80 points, 60% to pass.

  • recommendation20
  • market analysis15
  • risk assessment20
  • financial analysis25
Hint
Reveal suggested structure

Reorder point = mean demand over lead time + z x std dev over lead time. Trade the holding cost of safety stock against lost margin on stockouts.