An automatic machine is used to fill cans with coffee. The nominal weight of each can is 16.0 oz. The standard deviation of the fill weight is known to be 0.10 oz. Cans are automatically inspected, and all underfilled cans are rejected. The selling price of a can of coffee is $3. Underfilled cans can be sold for $1.75. The cost of the coffee $0.10 per ounce. Determine the optimum mean target level for the filling machine

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
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An automatic machine is used to fill cans with coffee. The nominal weight of each can is 16.0 oz. The standard deviation of the fill weight is known to be 0.10 oz. Cans are automatically inspected, and all underfilled cans are rejected. The selling price of a can of coffee is $3. Underfilled cans can be sold for $1.75. The cost of the coffee $0.10 per ounce. Determine the optimum mean target level for the filling machine

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,