Question-1)In Pacman game, Pacman has to traverse space and eat all the available food pellets without beingeaten by moving ghosts. An important question that arises while estimating the computational runtimeof solving a search problem is the size of the state space.Let's assume that the Pacman game has the following configurations:Pacman can be in 150 distinct (x, y) positions, and there is only one Pacman• The direction of Pacman face can be North, South, East, or West.• There are two ghosts, each of which can be in 14 distinct (x, y) positionsThere are 30 food pellets, each of which can be eaten or not eatenFind the size of the state space.

For a Pacman game, Pacman has to traverse space and eat all the available food pellets without being…

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 56RE

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7) There is an island on which all the people are of one of two types: either vegetarians or cannibals. Initially, two vegetarians and two cannibals are on the left bank of a river. With them is a boat that can hold a maximum of two people (two vegetarians, two cannibals, or one of each). You need to find a way to transport all the vegetarians and cannibals to the right bank of the river. At no time can the number of cannibals on either bank outnumber the number of vegetarians! Otherwise, disaster befalls the vegetarians. Create a graph to solve this problem. Question: How many possible solutions are there? Consider each solution to be a description of how the four people get across the river. If you create a graph to solve this, you should be able to look at the possible moves and determine how many ways there are to move everybody across. O 5 O 2 O 3 O 1 O Something else
5 minimum effort game, non-mechanical) Consider a two-player game in which each player can choose an effort of 1 or 2. The cost of effort is 1 for low effort and 2 for high effort. The benefit for each player is the product of a positive value parameter, V, and the minimum of the two efforts. So if the players’ efforts are both 2, they both earn 2V. But if one player chooses an effort of 1 and the other chooses an effort of 2, the minimum is only 1, and they both earn only V. For what values of V would this setup result in a coordination game with two equilibria, one with low efforts and one with high efforts?
A fruit basket vendor purchases apples and oranges. The number of apples must be at least 2 times the number of oranges but no more than 3 times the number of oranges. The vendor wants to buy at least 8 of each kind of fruit but no more than a total of 30. Some order combinations of fruit expressed as (# of oranges, # of apples) are shown below. Determine if the order combination meets the constraints or not. (7, 21) [ Select] (8, 17) [ Select] (8, 21) [ Select] (8, 23) [ Select] (9, 17) [ Select] (9, 21) [ Select ] (10, 20) [ Select] > > > > > >
The region in the plane that represents the solution set to a system of constraints is called the __________ region.
Use the dual simplex algorithm in order to find a solution if the constraint x1 <= 2 is added
Which of the following is not in reduced row echelon form? •..
A fruit basket vendor purchases apples and oranges. The number of apples must be at least 2 times the number of oranges but no more than 3 times the number of oranges. The vendor wants to buy at least 8 of each kind of fruit but no more than a total of 30. Some order combinations of fruit expressed as (# of oranges, # of apples) are shown below. Determine if the order combination meets the constraints or not. (7, 21) I Select (8, 17) I Select] (8, 21) I Select] (8, 23) I Select J (9, 17) I Select] (9, 21) I Select] (10, 20) I Select ] (10, 21) I Select ] > > > >
(4) Assume that a website www.funwithmath1600.ag has three pages: Page A: KingAlgebra Page B: Learn1600andWin • Page C: Linear AlgbraIsEverywhere Each page has some links to the other pages of this website and no pages links to any page outside this website. Page A has three links to page B and only one link to page C. • Page B has three links to page A and two links to page C. • Page C has one link to page A and two links to page B. A student decides to explore this website starting from page A. Since reading content is always a boring task (is it?!) they decide to choose one of the links in page A with equal probability and click on the link to see the next page. As a result, on the next step, they will end up on page B with probability 3/4 and on the page C with probability 1/4. This process is then continued by the student with the same rule: Go the next page by clicking, with equal probability, on one of the existing links that are on the present page. (Use only fractions in your…
Solve the Linear Programming Problem on PAPER PLEASE

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