Question

Your and your business partner bake bread to be sold at the Madison Farmer's Market every Saturday. You calculate the underage cost to be $2.50 per loaf and the overage cost to be $0.75 per loaf. If you are baking the profit maximizing amount of bread that balances the overage and underage cost, how often should you expect to run out of bread at the farmer's market

Answer 1

23%

Step-by-step explanation:

Overage cost(Co) = $0.75

Underage cost(Cu) = $2.50

Service level = Cu/(Co + Cu)

Service level = $2.50 / ($0.75+$2.50)

Service level = $2.50 / $3.25

Service level = 0.76923077

Service level = 76.92%

So the optimal service level is 77%

Risk of stock-out = 100% - Service level

Risk of stock-out = 100% - 77%

Risk of stock-out = 23%