Math Problem Statement

Strassel Investors buys real estate, develops it, and resells it for a profit. A new property is available, and Bud Strassel, the president and owner of Strassel Investors, believes if he purchases and develops this property, it can then be sold for $153,000. The current property owner has asked for bids and stated that the property will be sold for the highest bid in excess of $100,000. Two competitors will be submitting bids for the property. Strassel does not know what the competitors will bid, but he assumes for planning purposes that the amount bid by each competitor will be uniformly distributed between $100,000 and $143,000. (a) What is the estimate of the probability Strassel will be able to obtain the property using a bid of $123,000? (Use at least 5,000 trials. Round your answer three decimal places.)

Correct: Your answer is correct. (b) How much does Strassel need to bid to be assured of obtaining the property?

$123,000 $133,000 $143,000 Correct: Your answer is correct. (c) Use the simulation model to compute the profit for each trial of the simulation run (noting that Strassel's profit is $0 if he does not win the bid). With maximization of profit as Strassel's objective, use simulation to evaluate Strassel's bid alternatives of $123,000, $133,000, or $143,000. What is the expected profit (in dollars) for each bid alternative? (Use at least 5,000 trials. Round your answers to the nearest dollar.) expected profit for a bid of $123,000 $ Incorrect: Your answer is incorrect. expected profit for a bid of $133,000 $ Incorrect: Your answer is incorrect. expected profit for a bid of $143,000 $ Incorrect: Your answer is incorrect. What is the recommended bid?

$123,000 $133,000 $143,000 Incorrect: Your answer is incorrect.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Statistics
Simulation

Formulas

Probability of Winning = Successful Trials / Total Trials
Profit = Sale Price - Bid Amount

Theorems

Law of Large Numbers

Suitable Grade Level

Grades 11-12