2. Another famous puzzle used as an example in the study of artificial intelligence was compiled about A.D.775. It involves a wolf, a goat, a bag of cabbage, and a ferryman. From an initial position on the left bank of ariver, the ferryman is to transport the wolf, the goat, and the cabbage to the right bank. The difficulty is thatthe ferryman's boat is only big enough for him to transport one object at a time, other than himself. Yet, forobvious reasons, the wolf cannot be left alone with the goat, and the goat cannot be left alone with thecabbage. How should the ferryman proceed?

Answered: Image /qna-images/answer/9c9072e4-3344-44bd-ba5f-77120cc437fb.jpg

Answered: 2. Another famous puzzle used as an…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Two different labs, Rodent Racers and Squeeky Labs, measured the time for mice to complete a maze. The results are summarized in the following two boxplots. Squeeky Labs 8 15 20 25 28 Rodent Racers + -5 15 20 20 10 15 25 28 20 25 Completion Time (a) Which lab contained more mice? Rodent Racers Squeeky Labs Not enough information to tell. 30 30 (b) Which lab had the smallest completion time? Rodent Racers Squeeky Labs Not enough information to tell. + 30 30 (c) According to range, which lab had the smallest variation (smallest spread) in completion time? Rodent Racers Squeeky Labs Not enough information to tell.
Government funding: The following table presents the budget (in millions of dollars) for selected organizations that received U.S. government funding for arts and culture in both 2004 and 2006. Use a TI-84 calculator to answer the following. Organization 2004 2006 Smithsonian Institution 489 517 Corporation for Public Broadcasting 377 460 Institute of Museum and Library Services 262 247 Commission of Fine Arts 8 2 Advisory Council on Historic Preservation 4 5 Source: National Endowment for the Arts If two institutions have budgets that differ by 15 million dollars in 2004, by how much would you predict their budgets to differ in 2006? Round the answer to three decimal places.
Suppose Gabe, an elementary school student, has just finished dinner with his mother, Judy. Eyeing the nearby cookie jar, Gabe asks his mother if he can have a cookie for dessert. She tells Gabe that she needs to check his backpack to make sure that he finished his homework. Gabe cannot remember where he left his backpack, but he knows for sure that he did not complete his homework and will not be allowed to eat a cookie. Gabe believes his only option is to quickly steal a cookie while his mother is out of the room. Judy then leaves the room to look for Gabe's backpack. Assume that Judy could return at any time in the next 60 seconds with equal probability. For the first 20 seconds, Gabe sheepishly wonders if he will get caught trying to grab a nearby cookie. After waiting and not seeing his mother, Gabe decides that he needs a cookie and begins to take one from the jar. Assuming it takes Gabe 30 seconds to grab a cookie from the jar and devour it without a trace, what is the…
A mortgage company owns the following 10 mortgages. Investors will purchase packages of mortgages worth at least $1 million. What is the maximum number of such packages that can be created from this set of mortgages? Mortgage 1 2 3 4 5 6 7 8 9 10 Amount (in $1000s) $900 $860 $780 $525 $240 $185 $165 $164 $135 $125 Create a spreadsheet model for this problem and use Solver’s evolutionary algorithm to solve it. What is the optimal solution?
Problem 3: Trevor is planning a 30-day trip to Africa, where he will visit three countries: first Benin, then Ghana and then Togo. He wants to spend at least 2 and at most 12 days in Benin, at most 13 days in Ghana, and at most 9 days in Togo. How many such itineraries are possible? (Assume that each day is spent in just one country, and that she travels from one country to another at night.)
There are 5 apples, 6 bananas, and 10 grapefruits in the produce section of a grocery store. The apples look identical. The bananas look identical. The grapefruits look identical. In how many ways can a fruit basket be filled with these fruits. The only constraint is the basket is not allowed to be empty. How does this question change if all the fruits looked different? In how many ways can the basket be filled then?
A movie studio is scheduling the release of six films-Fiesta, Glaciers, Hurricanes, Jets, Kangaroos, and Lovebird. No two of these films can be released on the same date. The release schedule is governed by the following conditions: Fiesta must be released earlier than both Jets and Lovebird. Kangaroos must be released earlier than Jets, and Jets must be released earlier than Hurricanes. Lovebird must be released earlier than Glaciers. 3. If Glaciers is released earlier than Hurricanes, then each of the following could be true except: A Glaciers is released fourth. Ⓑ Jets is released third. C Kangaroos is released second. D Lovebird is released third. E Lovebird is released fifth.
Problem 12-27 (Algorithmic) Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost in dollars of producing a kitchen chair at each of the two plants is given here. Aynor: Cost = 80Q1 +5Q1² + 92 Spartanburg: Cost = 20Q2 +2.502² + 159 Where Q1 = number of chairs produced at Aynor Q2 = number of chairs produced at Spartanburg Andalus needs to manufacture a total of 30 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost? When required, round your answers to the nearest dollar. The optimal solution is to produce and $ chairs at Aynor for a cost of $ chairs at Spartanburg for a cost of $ The total cost is
A music shop is promoting a sale in which the purchaser of a compact disk can roll a die, then deduct a dollar from the retail price for each dot that shows on the rolled die. It is equally likely that the die will come up any integer from 1 through 6. The owner of the music shop pays $5.00 for each compact disk, then prices them at $9.00. During this special promotion, what will be the shop’s average profit per compact disk sold?

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