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- Scenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:A linear programming computer package is needed. Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here. Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 50 42 30 Hours required to complete all the cherry cabinets 60 48 35 Hours available 40 30 35 Cost per hour $36 $42 $55 For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours…3. Elana owns a consulting business that helps software companies market their services to school districts. She earns an average of $4635.7 for every contract one of her client companies signs with her help. In order to be able to run her business, she needs to cover $7,000/month (rent, licenses, etc.). The average costs associated with each contract are $1676.6. How many contracts must she facilitate each month in order to break even? a. -2.37 b. 2.37 c. 10966.14 d. 1.51 e. -1675.09 f. None of the other options.
- Managing a Portfolio. A local bank wants to build a bond portfolio from a set of five bonds with $1 million available for investment. The expected annual return, the worst-case annual return on each bond, and the “duration” of each bond are given in the following table. (The duration of a bond is a measure of the bond’s sensitivity to changes in interest rates.)Expected Return Worst Case Return DurationBond 1 12.5% 8.0% 8Bond 2 11.5% 7.5% 7Bond 3 10.5% 6.8% 6Bond 4 9.5% 7.0% 5Bond 5 8.5% 7.4% 3The bank wants to maximize the expected return from its bond investments, subject to three conditions: The average worst-case return for the portfolio must be at least 7.2 percent.The average duration of the portfolio must be at most 6.Because of diversification requirements, at most 40 percent of the total amount invested can be invested in a single bond.What is the maximum return on the $1 million investment? How should the investment be…Codeword Codeword is a medium-size firm that designs and manufactures electronic systems for the mass transit industry. It competes with other firms to win contracts to provide such systems. When Codeword receives a contract, it creates a project to complete the work. Most projects range from $10 million to $50 million in cost and from one to three years in duration. Codeword can have 6 to 12 projects going on at any one time, in various stages of completion—some just starting and others finishing. Codeword has a handful of project managers who report to the general manager; other people report to their functional manager. For example, the electronics engineers all report to the manager of electrical engineering, who reports to the general manager. The functional manager assigns particular individuals to work on various projects. Some people work full-time on a project, whereas others split their time among two or three projects. Although individuals are assigned to work for a project…Sapphire Farm is a business that trains and boards horses and educates young riders about horse care, nutrition, and riding. The farm provides both a learning and a fun environment for young equestrians and their families. It also hosts horse shows for beginning riders to help them build confidence in the show ring and to prepare them for local horse shows by running shows in accordance with the rules and regulations of the National Hunter Jumper Association. Feedback from the horseshow judges are provided to all riders so they can do better at their next meet. In addition, all warm-up and training areas are fenced and monitored by adults for the children's safety. If the farm unintentionally hired someone to teach riding who was unable to deal effectively with small children, then a _____ would occur. A. service divergence B. quality underperformance C. performance breakdown D. product variation E. customer aberration
- 4. Ana owns a consulting business that helps software companies market their services to school districts. She earns an average of $4635.7 for every contract one of her client companies signs with her help. In order to be able to run her business, she needs to cover $7,000/month (rent, licenses, etc.). The average costs associated with each contract are $1676.6. How many contracts must she facilitate each month in order to break even? a. 2.37 b. 1.51 c. -2.37 d. -1675.09 e. 10966.14 f. None of the other options.During the first year software will be purchased from a reputable vendor for $3,000,000. An internal team aided by a hired consulting is also used. The payroll for the internal team is $500,000 for the first year and increases by $500,000 in years two and three. Also, $500,000 will be spent on consulting during the first year and $1,000,000 during each of years two and three. $2,000,000 will need to be invested in hardware during the second year and an additional $500,000 investment in hardware will be needed for year three. $200,000 in training will be needed the first year, $500,000 the second year, and $2,000,000 the third year. Management considers the expenditures for the first three years as investment in the system. Management estimates the operating cost of the system to be $2,500,000 (for personnel and other costs) in year 4 and to grow by 6% per year for years 5 through 10. The benefits are estimated to be $4,000,000 for year 4 and to grow by 30% per year for years 5…Describe how a manager who derives satisfaction from both income and shirking allocates a 10-hour day between these activities when paid an annual, fixed salary of $100,000. When this same manager is given an annual, fixed salary of $100,000 and 4 percent of the firm’s profits—amounting to $130,000 per year—the manager chooses to work eight hours and shirks for two hours. Explain which of the compensation schemes the manager prefers
- Your team has a plan to build 100 gadgets in 10 weeks. The plan is to make 10 gadgets per week (10 gadgets per week x 10 weeks = 100 gadgets). The plan states that: During the first 4 weeks, it should cost $1,000 each week to make 10 gadgets per week. The next 6 weeks it should cost $500 each week to make 10 gadgets per week because of the efficiency gains. At the end of the 8th week (i.e. finished the 8th week and getting ready to start the 9th week), the team has made 60 gadgets and has spent $7500. At the end of week 8, what are PV (Planned Value), RP (Rate of Performance), AC (Actual Cost), EV (Earned Value), CV (Cost Variance), SV (Schedule Variance), CPI (Cost Performance Index), Schedule Performance Index (SPI), EAC (Estimate At Completion), and ETC (Estimate Time to Complete)? (Please Show work for each) Provide your answer for Question in this area and expand it out as necessary. PV = RP = AC = EV = CV = SV = CPI = SPI = EAC = ETC =Using stepping-stone method, the table becomes TOWN A TOWN B 300 500 FACTORY X FACTORY Y DEMAND FACTORY X FACTORY Y DEMAND FACTORY X FACTORY Y DEMAND FACTORY> FACTORY Y DEMAND 500 TOWN A 500 500 TOWN A 400 100 500 TOWN A 500 500 5 4 5 4 5 4 5 300 TOWN B 300 300 TOWN B 300 300 TOWN B 200 100 300 8 6 400 TOWN C 400 TOWN C 8 200 6 200 8 6 8 6 400 TOWN C 400 400 TOWN C 400 400 FACTORY X FACTORY Y DEMAND 7 7 7 7 7 7 7 7 SUPPLIES 700 500 SUPPLIES 700 500 SUPPLIES 700 500 SUPPLIES 700 500 TOWN A 500 500 5 4 TOWN B 200 100 300 TOWN C 8 7 6 400 7 400 SUPPLIES 700 500You are the project manager for a construction project (maybe capstone design) and you must schedule the various jobs which must be completed before the project is finished. Some of the jobs can begin immediately but other jobs can only begin after others are completed. For example, grading can begin immediately but laying a foundation must be delayed until the grading is completed. The data below are for a project which includes ten jobs; the time it takes to complete each job is known and the set of jobs which must be completed before each job can begin is known. Your objective is to find a schedule (i.e. beginning times and ending times) for all of the jobs such that no jobs begins before any of its predecessors are completed and the time when all jobs are finished is minimized. Formulate a linear programming model to solve the problem. For the following problem, formulate the Linear program or LP as follows: 1) Define the decision variables and briefly explain the significance of…