Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each month. The probability that demand will be 6 cases is 0.05, for 7 cases it is 0.25, for 8 cases it is 0.50, and for 9 cases it is 0.20. The cost of every case is $50, and the price Susan gets for each case is $100. Unfortunately, any cases not sold by the end of the month are of no value as a result of spoilage. Based on the given information, Susan's conditional profits table for jam is: Demand Produce 6 cases 7 cases 8 cases 9 cases 6 cases p=0.05 7 cases p=0.25 8 cases p=0.50 9 cases p=0.20

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that
has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each
month. The probability that demand will be 6 cases is 0.05, for 7 cases it is 0.25, for 8 cases it is 0.50, and for 9
cases it is 0.20. The cost of every case is $50, and the price Susan gets for each case is $100. Unfortunately, any
cases not sold by the end of the month are of no value as a result of spoilage.
Based on the given information, Susan's conditional profits table for jam is:
Demand
Produce
6 cases
7 cases
8 cases
9 cases
6 cases
p = 0.05
7 cases
p = 0.25
8 cases
p = 0.50
9 cases
p = 0.20
The number of cases that Susan should produce to achieve maximum expected value (EMV) is
The EMV of stocking this number of cases is $ (round your answer to the nearest whole number).
cases.
Transcribed Image Text:Palmer Jam Company is a small manufacturer of several different jam products. One product is an organic jam that has no preservatives, sold to retail outlets. Susan Palmer must decide how many cases of jam to manufacture each month. The probability that demand will be 6 cases is 0.05, for 7 cases it is 0.25, for 8 cases it is 0.50, and for 9 cases it is 0.20. The cost of every case is $50, and the price Susan gets for each case is $100. Unfortunately, any cases not sold by the end of the month are of no value as a result of spoilage. Based on the given information, Susan's conditional profits table for jam is: Demand Produce 6 cases 7 cases 8 cases 9 cases 6 cases p = 0.05 7 cases p = 0.25 8 cases p = 0.50 9 cases p = 0.20 The number of cases that Susan should produce to achieve maximum expected value (EMV) is The EMV of stocking this number of cases is $ (round your answer to the nearest whole number). cases.
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