Briefly describe the concept of expected value

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Reference no: EM132797935

Question - A large hospital is soliciting competitive bids to contractors for the construction of a new wing. The hospital's procurement auction will use a first-price sealed-bid mechanism. Your construction company plans to bid for this business. You have data on the historical bid frequencies of the average bidder for construction jobs in this area. These data indicate that, for an average bidder, the proportion of relative bids that exceed a relative bid of 1.05 equals 0.84, and the proportion of relative bids that exceed a relative bid of 1.10 equals 0.70. However, for one particular competitor - Rutledge Construction - you estimate its likelihood of exceeding a relative bid of 1.05 equals 0.65 and its likelihood of exceeding a relative bid of 1.10 equals 0.50.

(a) Briefly describe the concept of expected value. Then, consider this situation: if the roll of a single die shows a 3, you will win $12, but if it shows any other number, you will win nothing. Given this situation, what is the maximum amount one should pay for a roll of the die?

(b) In the procurement auction, you expect to be bidding against two average bidders and Rutledge Construction. Calculate the probability of your company winning the job with the relative bid of 1.05 and the probability of your company winning the job with the relative bid of 1.10. Show your work.

(c) You estimate that your company's costs to build the new hospital wing would be $750,000. Given your answers to Part (b), calculate the expected profit for your company of the relative bid of 1.05 and of the relative bid of 1.10. Show your work. Based on these calculations, which of these two relative bids should your company bid?

Reference no: EM132797935

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