A manager for an outsourcing company has five jobs that can be performed by any of three contractors, except that contractor #2 cannot perform job #4. The cost for each contractor to perform each job is shown in the table below. Each job must be performed by exactly one contractor, and each contractor may not perform more than two jobs. Formulate a linear programming problem to minimize the cost of the assignments. Contractors \ Jobs | 1 2 3 4 5 8 6 5 7 4 6. 3 2 7 8 5 6 3 123
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- Al Watan supermarket has hire-purchases scheme for locals and expats. The customers will get the credit facility if they satisfy any of the following conditions: The customer must hold the present job for more than 5 years and reside in the same place at least for 3 years. In this case, the customer will get credit upto rupees 300 omr. The monthly salary of the customer must exceed 1000 omr and must hold the present job for more than 5 years. In this case credit will be given upto rupees 500 omr. The monthly salary must exceed 1000 omr and reside at the same place at least for 3 years. In this case credit will be given upto 500 omr. In the case, the customer’s monthly salary exceeds 1000 omr, holds the present job for more than 5 years and also reside in the same place at least for the 3 years, the credit facility will be upto 1000 omr The credit facility is rejected for all other customers. Prepare a Decision Table for this hire- purchase schemeIt has been observed by management that some faculty members at theuniversity demonstrate a lackadaisical attitude toward teaching. They seldom go to class yet at the end of each month they receive full salary. Management has decided that GHs 200, 300, 400, and 500 will be deducted from a faculty’s salary if he/she offends once, twice, third time and forth time respectively in a month. This means that if a faculty member offends once in a month GHs200 will be deducted, if a faculty member offends twice in a month, GHs 500 (i.e. 200+300) will be deducted, if a faculty member offends three times in a month GHs 900 (i.e. 200+300+400), will be deducted and if a faculty member offends four times in a month GHs 1,400 (i.e. 200+300+400+500). Assuming all faculty members are on a flat salary rate of GHs 2000.a. Write a program to request for the names of four faculty members and number times he/she has absented him/herself from class in a month.One of them should have absented him/herself…HOMEPRO is a furniture manufacturer which produces two sizes of wood blocks (type A and B) thatare used to make either a table or a chair. A table is made of a type A and a type B wood blocks,while a chair is made of a type A and two type B wood blocks (See Figure 1) A table makes RM 3 profit, and a chair makes RM 5 profit. If M number of type A and Nnumber of type B wood blocks are produced, how many tables and chairs should themanufacturer make to obtain the greatest profit?For example, let M = 12 and N = 12.By making 4 tables (4 type A and 4 type B) and 4 chairs (4 type A and 8 type B), themanufacturer gain profit as follows,Profit = (RM 3) × 4 + (RM 5) × 4 = RM 32.If the manufacturer makes 2 more tables and 1 less chair, the profit will be increased as follows,Profit = (RM 3) × 6 + (RM 5) × 3 = RM 33.Is this the greatest profit? Write a complete C++ program to help the manufacturer determine the greatest profit obtainfrom making tables and chairs with a given number of M type A and…
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- The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regionsthe South, the East, and the Midwest. A salesperson in the South earns $600 in profit per month for the company, a salesperson in the East eams $540, and a salesperson in the Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople. The.company has a total of $750 per day available for expenses for all 12 salespeople. A salesperson in the South has average expenses of $80 per day, a salesperson in the East has average expenses of$70_pér day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to detemine the number of salespeople to assign to each region to maximize profit. a. Formulate an integer programming model for this problem. b. Solve this model by using the computer.- For all the employees supervised by KING, give them a salary increase, which is equal to the 2% of the company’s average salaryIn response to popular demand, Dan’s established two research groups A and B composed of his n graduate students. Each of these students is a member of exactly one of the two groups at any given time. The students are numbered from 1 to n in some arbitrary order. To measure the success of his research groups, Dan assigns a citation score to each of them. Initially, both groups have citation score 0. Throughout the semester, events of the following two types happen: Studentxpublishesapaperinwhichtheycitestudenty’swork(youcan assume all of the students have been around long enough to have prior research that can be cited). As a result, If x and y are in the same group, their group’s citation score increases by 1. If x and y are in different groups, y’s group’s citation score increases by 5. Danchangesstudentx’sgroup(fromAtoBorfromBtoA)tohavethem work on different projects. To assess the overall success of the research groups, Dan needs to calculate their final citation scores at…