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 daysin Ghana, and at most 9 days in Togo. How many such itineraries are possible? (Assume that each day isspent in just one country, and that she travels from one country to another at night.)

Answered: Image /qna-images/answer/e1687334-2688-4a14-8885-60cc69679285.jpg

Answered: Problem 3: Trevor is planning a 30-day…

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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Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,600. Manufacturing costs are $14 for each 4-cylinder connecting rod and $19 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 7,000 4-cylinder connecting rods. Let 56 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise (a) Using the decision variables x4 and s, write a constraint that limits next…
PROBLEM 03: The Jokia Cell Phone Company manufactures two models of cell phones - the Wombat and the Sloth. Each Wombat phone uses 2.5 ounces of gold leaf and 3 ounces of plastic, whereas each Sloth phone uses 2 ounces of gold leaf and 2 ounces of plastic. Each day, the company has only 370 ounces of gold leaf and 420 ounces of plastic to be used for making cell phones. If the company makes the correct number of each type of phone on a given day to use up all of the available gold leaf and plastic, how many Wombat phones will be made? A) 60 B) 100 C) 50 D) 90 E) 110 N) none of the above
Problem:Fifteen books are to be placed in a shelf. The fifteen books are composed of the following: six structural engineering books, five geotechnical engineering books, and four water-resource engineering books. 1. In how many ways can you arrange the books if they must be grouped together? 2. In how many ways can you arrange the books if the geotechnical engineering books are grouped together?
Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,500, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,900. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let x4 = the number of 4-cylinder connecting rods produced next week x6 = the number of 6-cylinder connecting rods produced next week s4 = 1 if the production line is set up to…
In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, Ethics, and Physics. Because Polly is registering early, she has 14 choices for her section of Statistics, 14 choices for her section of Composition, 16 choices for her section of Ethics, and 18 choices for her section of Physics. schedules can Polly choose? From how many possible (You may presume that none of these sections interfere with each other) Your Answer: Answer
In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics. Because Polly is registering early, she has 14 choices for her section of Statistics, 14 choices for her section of Composition, and 13 choices for her section of Ethics. From how many possible schedules can Polly choose? (You may presume that none of these sections interfere with each other)
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Suppose that a computer supplier has two warehouse, one located in city A and another in city B. The supplier receives orders from two customers, one in city C and another in city D. The customer in city C orders 70 units, and the customer in city D orders 50 units. The number of units at the warehouse in city A is 80 and the number of units at the warehouse in city B is 90. The cost of shipping each unit from A to C is 1, from A to D is 2, from B to C is 3, from B to D is 2. Formulate the problem of deciding how many units from each warehouse should be shipped to each customer to minimize the total shipping cost.

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