12. There are 11 tenured faculty in the biology department on campus. Thedepartment needs one tenured faculty member to facilitate undergraduateresearch, one member to supervise graduate advising, and one to coordinate grantproposals. In how many ways can these tasks be assigned, if a member may beappointed to only one duty?

We have to find number of ways in which tasks can be assigned using given data. Concept required:…

Answered: 12. There are 11 tenured faculty in the…

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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2. Many municipalities offer a variety of fare options for public transportation. This allows high use travelers a choice to pay a lower fare as a benefit of being a high user. The Transit Co. of Blue City, TX has three separate monthly bus fare options to choose from. The first is a standard “per ride" fare of $1.25 per ride. The second allows the rider to purchase a discount card. The cardholder pays $21 at the start of the month plus a fee of S0.50 per ride. Option 3 is a flat fee option where the rider pays $40 for thee month and may ride any bus at no additional cost during the month. Define the variable x to be the number of rides you take each month. Express each option as a function of x. Graph all three functions on the same set of axes. What is the break even number of rides between the options? If you only take 10 rides a month what option should you choose? If you take 40 rides a month what option should you choose? Watch the video posted in the Capstone #1 area involving…
11.
Arial BIUA 9.5 Intro to New Material Problem 1 An airline allows passengers to bring a suitcase that weighs less than 30 pounds onto the airplane for free. If a suitcase weighs 30 pounds or more, then the passenger will be charged a fee. Elena is going on a trip and is packing her suitcase. Her suitcase weighs 4.8 pounds when it is empty. 1. Elena packs 25 pounds in her suitcase and believes that she can safely avoid the fee. Is she correct? Explain your reasoning. 2. Write an inequality to represent the number of pounds that Elena can pack in her suitcase and not pay the fee. Workspace and Equation: Problem 1 Write here: Problem 2 !! II I!!
A law form specialized in the issuance of insurance policies covering large commercial real estate projects. The projects fall into two categories: shopping centers, and medical complexes. The typical work involved in each transaction is quite predictable and repetitive. The time requirements (unit loads) for preparing a standard contract of each type are given in the following table. Also listed are the number of professionals of each type and the number of available hours per professional per day (the rest of time is taken by other office activities): Unit load Shopping (hour/contract) Unit load Medical (hour/contract) No. of professionals Hours available (hours/professional /day) Paralegal 4 6 4 6 Tax lawyer 1 3 3 8 Senior partner 1 1 2 4 For the month of Feb 2023, the firm has generated the 150 orders, 75 of each type. Assume one month equals 20 days. QUESTIONS What is the effective capacity of the process…
4) Mendoza's Pizzeria offers many wonderful topping options on their world-famous pizza pies. A cheese pizza costs $20, plus it costs $1 for any veggie topping (onions, green peppers, spinach, etc), and $2 for any meat topping (pepperoni, bacon, sausage, etc.). There must be at least 2 toppings on each pizza pie, but there cannot be more than 10 toppings on any one pie. Marty enters the scene with $30 in his pocket. a. Write a system of inequalities that represents the constraints on the number of each topping that can be included on Marty's pizza.
1. "The Diet Problem": Suppose that a thrifty patient of limited means was advised by his doctor to increase the consumption of Vegetable1 and Vegetable2 in his diet. In each meal he must get no less than 200 cal from this combination and no more than 14 units of fat. When he consulted his diet book, he found the following information: there are 150 cal in a kg of Vegetable1 and 200 cal in a kg of Vegetable2. However there are 14 units of fat in a kg of Vegetable1 and 4 units of fat in a kg of Vegetable2. Vegetablel costs at least Rs.30 per kg and Vegetable2 costs at least Rs.50 per kg. He can afford to pay only the least price. How do he meet the requirement set by the doctor?
1. A small manufacturing plant makes three types of inflatable boats: one-person, two-person, and four-person models. Each boat requires the service of three departments, as listed on the table. The cutting, assembly, and packaging departments have a maximum of 380, 330, and 120 labor- hours per week, respective. Department One-Person Boat Two-Person Boat Four-Person Boat Cutting 0.5 hours 1.0 hours 1.5 hours Assembly 0.6 hours 0.9 hours 1.2 hours Packaging 0.2 hours 0.3 hours 0.5 hours How many boats of each type must be produced each week for the plant to operate at full capacity? Make sure to label the variables using a complete sentence, write the system of equations, write the corresponding augmented matrix, solve using matrix methods, and write your answer as a complete sentence (you might need to use the other side of the page)
2. Solve the following assignment problem shown in Table using Hungarian method. Your salespeople are in Jaipur, Pune and Bangalore, and you want them to fly to three other cities: Delhi, Mumbai and Kerala. The table below shows the cost of airline tickets in INR between the cities: Find the minimum total cost by assigning exactly one agent to each task and vice versa. Jaipur Pune Bangalore Delhi 2500 4000 2000 Kerala 4000 6000 4000 Mumbai 3500 3500 2500
An automobile company produces cars in Los Angeles and Detroit and has a warehouse in Atlanta.The company supplies cars to customers in Houston and Tampa. The costs of shipping a car betweenvarious points are listed in the table below, where a blank means that a shipment is not allowed. LosAngeles can produce up to 1100 cars, and Detroit can produce up to 2900 cars. Houston must receive2400 cars, and Tampa must receive 1500 cars. (Include your formulations to receive credit. Thinkcarefully about the transhipment locations.) (a) Determine how to minimize the cost of meeting demands in Houston and Tampa. (b) Modify the answer to part (a) if shipments between Los Angeles and Detroit are not allowed. (c) Modify the answer to part (a) if shipments between Houston and Tampa are allowed at a cost of$5 per car.
Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $28,000. Assuming the college wishes to offer a total of seven sections, accommodate 220 students, and bring in $296,000 in revenues, how many sections of each course should it offer?

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