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Consider a transit line of length L with n equally spaced stations and a terminal. The first of the n stations (n = 1) lies at one end of the line; the terminal lies at the opposite end.
The daily cost of providing transit service is C1/x + C2x2 ($/day), where constants C1, C2 > 0 and x is the distance between each station; (x is also the distance between the terminal and station number n).
Determine n*, the number of transit stations (excluding the terminal) that minimizes total cost per day. Write the expression for n* in terms of the variables given
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Virgil is evaluating an investement that has a 15% chance of losing $10,000, a 50% chance of breaking even, a 30% chance of making $80,000 and a 5% chance of making $400,000. Evaluate the expected out come of this investment. Calculate Virgil's varia..
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