The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 400 500 600 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? 0.15 0.30 0.35 0.20 (Enter your answer in a whole number (no decimals)) (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (in dollars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units? (Enter your answer in a whole number (no decimals), do not e

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The demand for a product of Carolina Industries varies greatly from month to month. The
probability distribution in the following table, based on the past two years of data, shows the
company's monthly demand.
Unit Demand Probability
300
400
500
600
(a) If the company bases monthly orders on the expected value of the monthly demand, what
should Carolina's monthly order quantity be for this product?
0.15
0.30
0.35
0.20
(Enter your answer in a whole number (no decimals))
(b) Assume that each unit demanded generates $70 in revenue and that each unit ordered
costs $50. How much will the company gain or lose in a month (in dollars) if it places an order
based on your answer to part (a) and the actual demand for the item
is 300 units?
(Enter your answer in a whole number (no decimals), do not e
Transcribed Image Text:The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 400 500 600 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? 0.15 0.30 0.35 0.20 (Enter your answer in a whole number (no decimals)) (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (in dollars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units? (Enter your answer in a whole number (no decimals), do not e
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