Suppose you are a network systems provider and are bidding for the job of providing and installing a system for a new government office building. You are considering submitting one of three bids: a low bid of $500,000, a medium bid of $600,000, and a high bid of $700,000. The cost of the job to you will be $450,000, regardless of your bid. Thus, if you submit a bid of $500,000 and win the contract, your profit will be $500,000 − $450,000 = $50,000. If you win with a bid of $600,000, your profit will be $150,000. If you do not win the contract, your profit will be zero. Two competitors will also submit bids. Each competitor will bid $500,000, $600,000, or $700,000 with probability 1/3 each, with your competitors' bids being independent of each other. The contract will be awarded to the lowest bidder. In the case of a tie, the contract will be awarded to the bidder with the most experience. In this case, you will certainly win because your company has more experience than the other two. The bids are sealed and made simultaneously.
(a) If you bid medium ($600,000), what is your probability of winning the contract?
(b) Draw a decision tree to determine which bid (low, medium, high) yields the highest expected profit for you.
(c) Suppose a clairvoyant could tell you in advance exactly what both competitors’ bids will be. What is the expected value of this information? (d) Suppose instead that the clairvoyant could tell you in advance exactly what competitor #1's bid will be, but you would remain uncertain about competitor #2's bid. What is the expected value of this information?
Suppose you are a network systems provider and are bidding for the job of providing and...
Below is the problem: Suppose you are a network systems provider and are bidding for the job of providing and installing a system for a new government office building. You are considering submitting one of three bids: a low bid of $500,000, a medium bid of $600,000, and a high bid of $700,000. The cost of the job to you will be $450,000, regardless of your bid. Thus, if you submit a bid of $500,000 and win the contract, your...
please answer all questions Suppose you are interested in bidding on a parcel of land and you know that one other bidder is interested. The seller has announced that the highest bid will be accepted. The other competitor's bidding price for the land will vary evenly from $72,000 to $85,500. a) Let B be the competitor's bid for the parcel of land. What are the distribution and parameter(s) of B? b) What is expected value and standard deviation of the...
Suppose you are a bidder in a first-price sealed-bid auction for a single object, where players submit bids simultaneously and the player who bid the highest wins the object and must pay his/her bid. Assume there are two other bidders, so this is a three-player game. You do not observe the valuations of the other bidders, but assume that you believe their valuations are identically and independently distributed according to a uniform distribution on the interval from 0 to 20....
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 $10,500 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,500 and $15,300. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)? Suppose you bid $14,000. What is the probability that your bid will...
Check My Work 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 $10,100 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,100 and $15,500. a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)? .40 b. Suppose you bid $14,000. What is...
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 $10,400 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,300. a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)? b. Suppose you bid $14,000. What is the probability that your...
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 $20,000 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $20,000 and $25,000. (a) Suppose you bid $21,000. What is the probability that your bid will be accepted? (b) Suppose you bid $23,000. What is the probability that your bid will be...
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 $10,200 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,200 and $14,600. a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)? b. Suppose you bid $14,000. What is the probability that your...
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 $9,500 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $9,500 and $15,100. a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)? b. Suppose you bid $14,000. What is the probability that your bid will...
You work for a medium-sized IT consulting firm in Quebec. You submit the lowest bid to design and deliver the software to automate and track inventory for a large grocery chain’s warehouse. As of today, you do not have the staffing in place to meet the contract and you anticipate that it will take three months longer than your main competitor to build the IT infrastructure awarded in the contract. Your client asks you to provide the details of your...