CHAPTER 7 Quantifying the Value of Information

  1. A
  2. B
  3. C
  4. C
  5. E
  6. True
  7. B
  8. A threshold is the exact value an uncertain variable on a continuum would have in order to break even on a decision. Below that value one choice is better and above that value another choice is better.
  9. A

    Threshold = 6 × X = 3,000,000

    Solving for X, X = 500,000

    Relative threshold = (500,000 – 300,000)/(800,000 – 300,000) = 0.4

    EOLF (using EOLF chart) = 80

    EVPI = EOLF/1,000 × OL per unit × (BB – WB) = 240,000

    Or the spreadsheet for information value for normal distributions can be used to produce a value that should be close to the same.

  10. E
  11. A
  12. D
  13. True
  14. E
  15. C
  16. A
  17. B
  18. E
  19. 16%

    Using the Excel function we write: =NORMDIST(85,100,15,1)

  20. $20,000

    EOL = .2 × $100,000 = $20,000

  21. 0.33

    RT = (Threshold – WB)/(BB – WB)

    =(6000 – 4000)/(10000 – 4000)

  22. Using either the EOLF chart or the information value for normal distributions, you should get an answer close to about $17,000 or so.
  23. A situation where demand is uncertain but the losses from overstocking are less than the losses for understocking by the same amount.
  24. image
  25. Challenge:
    1. The discrete approximation starts with creating a table that divides the distribution into a large number of increments—perhaps hundreds or perhaps even one increment per unit of the product.
    2. For each increment, compute the probability of that increment given the 90% CI entered.
    3. For each increment, compute a loss of ...

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