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A company needs to choose a site. Factory Site 1 costs $100K and will generate a revenue of $300K with probability 0.1, $200K with probability 0.2, $100K with probability 0.6, and zero with probability 0.1. Factory Site 2 costs only $10K and will generate a revenue of $60K with probability 0.7 and zero with probability 0.3. The amounts of raw material used at these two sites are independent, so the revenues are independent. The company needs to choose exactly one site.
(a) What is the expected value of perfect information on the revenue from factory Site 1?
(b) What is the expected value of perfect information on the revenue from factory Site 2?
(c) What is the expected value of perfect information on the revenue from factory Site 1 and the revenue from factory Site 2?
(d) Discuss how the value in (c) compares with the values in (a)-(b) and with the sum of these two.
(e) How would your calculations in (a)-(c) change if the revenues from the two sites were dependent?
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