Problem 1. (Lee's Barber shop). Lee operates a barber shop. Today, five customers made reservation as below and they will arrive the barber shop sharply. Lee is the only barber, so if Lee is busy that customers will wait in the waiting area. First come first service policy will be observed.
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- Part 4-Network Problems(10)The U.S. government is auctioning off oil leases at two sites: 1 and 2. At each site, 100 000 acres of land are to be auctioned. Cliff Ewing, BlakeBarnes, and Alexis Pickens are bidding for the oil. Governmentrules state that no bidder can receive more than 40% of the land being auctioned. Cliff has bid $1,000/acre for site 1 land and $2,000/acre for site 2 land. Blake has bid $900/acre for site 1 land and $2,200/acre for site2 land. Alexis has bid $1,100/acrefor site 1 land and$1,900/acre for site 2 land. Formulate a balanced transportation model to maximize the government’s revenue. b.Use the minimum-cost method to find the basic feasible solution for this problem.Question A.A mortgage pass-through security (PT) has a par value of $100,000, a 4% coupon paid monthly, and is based on 30 year mortgages. The current market rate for similar bonds is 3.5%, and prepayments currently equal $100 per month. Assume rates immediately rise to 4.5%, and prepayments drop to $40 as a result. The PT will now be paid off in month 310. What is the price of the PT today? A $184,274.6844 B $102,365.1248 C $98,323.2214 D $94,737.4877 Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this lineQuestion 1 A carton of 12 rechargeable batteries contains two batteries that are defective. (c) In how many ways can an inspector choose three (3) of the batteries and get one of thedefective batteries?(d) In how many ways can an inspector choose three (3) of the batteries and get both of thedefective batteries?
- 2. A safe has 5 locks v, w, y and z; all of which must be unlocked for the safe to open. The keys to the locks are distributed among five executives in the following manner.Mr. A has keys for locks v and x. Mr. B has keys for locks v and y. Mr. C has keys for locks w and y. Mr. D has keys for locks x and z. Mr. E has keys for locks v and z.a) Determine the minimal number of executives required to open the safe.b) Find all the combinations of executives that can open the safe; write and expression f(A, B, C, D, E) which specifies when the safe can be opened as a function of what executives are present.c) Who is the essential executive?Please extract this tabular form using the least cost method Part 4-Network Problems(10)The U.S. government is auctioning off oil leases at two sites: 1 and 2. At each site, 100 000 acres of land are to be auctioned. Cliff Ewing, BlakeBarnes, and Alexis Pickens are bidding for the oil. Governmentrules state that no bidder can receive more than 40% of the land being auctioned. Cliff has bid $1,000/acre for site 1 land and $2,000/acre for site 2 land. Blake has bid $900/acre for site 1 land and $2,200/acre for site2 land. Alexis has bid $1,100/acrefor site 1 land and$1,900/acre for site 2 land. Formulate a balanced transportation model to maximize the government’s revenue.4It has been observed by management that some faculty member at the university demonstratesa lackadaisical attitude toward teaching. They seldom go to class yet at the end of each month they receive full salary. Management hasdecided that GHs200, 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,GHs500 (i.e. 200+300) will be deducted, if a faculty member offends three times in a month GHs900(i.e. 200+300+400), will be deducted and if a faculty member offends four times in a month GHs1,400 (i.e. 200+300+400+500). Assuming all faculty members are ona 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. One of them should have absented him/herself once, another twice,…
- ACE Hardware wants to develop a daily schedule for its employees in one of its stores in Omaha. Currently,this store has five employees and the store is opened from 12pm to 9pm. The store must always have at leasttwo people on hand. Each employee must work at least four hours and no more than eight hours per day.Employee #1 goes to school and cannot start before 4pm while all other employees can work at any time.Furthermore, employee #1 earns $10 per hour while all other employees earn $12 per hour. Because all fiveemployees live so close to the store, you must assume that they do not need to work consecutive hours.a) Formulate an optimization model for this problem.b) Solve the optimization model using either the Microsoft Excel Solver or the IBM ILOG CPLEXOptimization Studio.Question 3Assuming all Ghanaians who are at least 18 years can choose between going to school or learning a trade. GHC 100 is invested every month for a person who chooses to go to school by the government till the person attains age 30 years provided he/she completes university. If he/she does not complete university, the payment is stopped at the time he/she exited. If the person chooses to learn a trade, the government pays GHC 2000 as apprentice fee to the madam or master who will take the person as an apprentice, and invest GHC 70 a month till age 30 years. If the person does not complete the apprenticeship, the payment is stopped at the time he/she exited. Remember that persons who are less than 18 years or above 30 years do NOT qualify to enroll on this program.You are to write a java program for the above scenario. Your program should a) request a person’s name, age, what he/she wants to do 4(go to school or learn a trade), time of exit if any and disqualify the person if…A contractor owns three excavators of different capacity. He/she wants to dispatch these excavatorsinto three different jobs. The performance of the excavators is measured as the time consumed toperform each job. The data of the time tests are shown as given in the table below. (a) Draw a network flow diagram.(b) Formulate a mathematical model to obtain the minimum time.(c) Solve this model using the Vogel’s approximation model.
- IKEO 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.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 N type B wood…A company's three factories produce 1,000 refrigerators per week. Plant A produces 350 refrigerators per week, while plants B and C produce 250 and 400 refrigerators per week, respectively. According to production records, 5% of the refrigerators manufactured at plant A will be defective, 3% of the refrigerators manufactured at plant B will be defective, and 7% of the refrigerators manufactured at plant C will be defective. Each refrigerator is transported to a central facility. If a defective refrigerator is discovered in the warehouse, what is the likelihood that it was manufactured at plant A? Display your work