Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,000 and $15,000.   d. Suppose that you know someone is willing to pay you $16,000 for the property. You are considering bidding the amount $15,000 to maximize the probability that you get the property but a friend suggests you bid $13,000. If your objective is to maximize the expected profit, what is your bid? Choose: (Stay with $15,000, it maxi

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 35E
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Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

 

d. Suppose that you know someone is willing to pay you $16,000 for the property. You are considering bidding the amount $15,000 to maximize the probability that you get the property but a friend suggests you bid $13,000. If your objective is to maximize the expected profit, what is your bid?

Choose:

(Stay with $15,000, it maximizes expected proft/ Bid $13,000 to maximize exoected profit)

What is the expected profit for this bid (to 2 decimals)?

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