Players A, B, C, and D are dividing an estate using the Method of Sealed Bids. There are three indivisible items to allocate.   A B C D Item #1 $500 $470 $490 $530 Item #2 $320 $300 $310 $290 Item #3 $380 $430 $400 $380 A fair share to player A is worth       [600, 400, 300, 200]  . Player       _____  gets Item #1. Player      _____ gets Item #2. Player       _____ gets Item #3. After the initial allocation there is  ______  remaining in the kitty. After the kitty has been divided, player B gets    _______  and  _____ ""]

Green Red Orange Purple Yellow 3. Caitlyn and Tabitha want to fairly decide who will take the family dog on a walk, so they roll a fair six-sided die and spin the spinner above. Caitlyn will walk the dog if the die roll is a 1, 2, or 3 and the spinner lands on orange or green. Tabitha will walk the dog if the die roll is a 4 or 6 and the spinner lands on red, yellow, or purple. They will continue the experiment until one of the events occurs. Does the experiment provide a fair way to decide who walks the dog? Explain using probability.

To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $8 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting the color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $9. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. X       P(X)         (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. $    (c) Is this game fair? Yes No

Two construction companies, Giant and Sky, bid for the right to build in a field. The possible bids are $ 10 Million, $ 20 Million, $ 30 Million, $ 35 Million and $ 40 Million. The winner is the company with the higher bid. The two companies decide that in the case of a tie (equal bids), Giant is the winner and will get the field. Giant has ordered a survey and, based on the report from the survey, concludes that getting the field for more than $ 35 Million is as bad as not getting it (assume loss), except in case of a tie (assume win). Sky is not aware of this survey. (a) State reasons why/how this game can be described as a two-players-zero-sum game  (b) Considering all possible combinations of bids, formulate the payoff matrix for the game. (c) Explain what is a saddle point. Verify: does the game have a saddle point?   (d) Construct a linear programming model for Company Giant in this game.   (e) Produce an appropriate code to solve the linear programming model in part (d). (f)…

An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.Select ALL the combinations of necklaces and bracelets that the artist could sell for exactly $12.00. * 5 necklaces and 1 bracelet 2 necklaces and 5 bracelets 3 necklaces and 3 bracelet 4 necklaces and 2 bracelets 3 necklaces and 5 bracelets 6 necklaces and no bracelets No necklaces and 8 bracelets This is a required question

5 people can claim joint ownership of an item and intend to divide it by the Method of Sealed Bids. The winner offers a bid of $51,000 how much will that bidder need to put into a kitty for the other bidders to be compensated?

Six friends play poker, each starting with $5. All bets are in multiples of $0.10. How many ways are possible for the redistribution of the $30 after the night of poker?

A concert hall has 12,000 seats and two categories of ticket​ prices, $32 and ​$42. Assume that all seats in each category can be sold. a. How many tickets of each category should be sold to bring in each of the returns indicated in the table? b. Is it possible to bring in a return of 750,000 when all the seats are sold? c. Describe all possible returns

One thousand raffle tickets are sold at $1 each. Three tickets will be drawn at random (without replacement), and each will pay $201. Suppose you buy 5 tickets. (A) Create a payoff table for 0, 1, 2, and 3 winning tickets among the 5 tickets you purchased. (If you do not have any winning tickets, you lose $5, if you have 1 winning ticket, you net $196 since your initial $5 will not be returned to you, and so on.) (B) What is the expected value of the raffle to you? (A) Let X be the random variable for the amount won on a single raffle ticket. Create a payoff table for 0, 1, 2, and 3 winning tickets among the 5 tickets you purchased. Xi-$5 $196 $397 $598

A raffle sells 1000 tickets for $5.00 a piece. In how many different ways can the the top prizes of $500, $250 and $100 be drawn? O 998,002,000 O 166167000 O 3,000 O 150,000