Milk shake production Consider a simple process that makes two kinds of shakes:
ID: 2747223 • Letter: M
Question
Milk shake production Consider a simple process that makes two kinds of shakes: strawberry and banana. Demand for strawberry shakes is 10 gallons per hour, while demand for banana shakes is 7.5 gallons per hour. Switching from one type of shake to another requires 30 minutes to clean the production equipment so that one flavor does not disrupt the flavor of the next shake. Once production begins, the process can make 30 gallons per hour of either type of shake. Given these parameters, please evaluate a production cycle that minimizes inventory while satisfying demand.
MSP1. How much shake is produced in total over the course of one production cycle (in gallons)?
MSP2. How much strawberry shake is produced in one production cycle (in gallons)?
Explanation / Answer
Answer: The rate of production of either of the shakes = 30 gallons per hour = 0.5 gallons per minute
demand of strawberry shake = 10 gallons per hour
demand of banana shake = 7.5 gallons per hour
one production cycle is of an hour
if we start from strawberry shake the to make 10 gallons it would take 20 minutes
and anither 30 minutes would be spend on cleaning.
therefore remaining 10 minutes can be used to prepare bananashake:
So the gallons of bananashake that can be made in 10 minutes = 10 x 0.5 gallons = 5 gallons
Therefore in one production cycle
gallons of strawberry shake = 10 gallons
gallons of banana shake = 5 gallons