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- The Operations Manager of a construction company wants to assign four contractors to four jobs in such a way as to minimize the time taken to complete four buildings of a special kind and size. Based on experience, the times taken (in months) for each contractor to complete each job are given in the table below. Jobs Contractor 1 2 3 4 1 15 15 16 14 2 20 18 16 19 3 24 26 24 23 4 30 35 38 25 Required:- Using the Hungarian (manual) method, determine the optimal assignment of contractors to jobs in order to minimize the total time taken to complete the jobs. Indicate this overall time and show all working. 2. Write an LP formulation that could be used to solve this problem with the relevant LP software packages.Suppose the manufacturer wants to incorporate a nonzero minimum policy; in other words, producing 0 of any type of drink will not be acceptable. From previous company records, the manufacturer decides to produce at least 20 gallons of cranpple juice and 10 gallons of appleberry juice. What is the optimal production policy now?Graph the following solution set, and determine the feasible region in graph. Also determine corresponding control points of the bounded region.
- Differentiate between the Precedence Diagramming Method, Schedule Network Analysis and Critical Path Method and in what order would these processes flow in developing a project schedule?A company is taking bids on four construction jobs. Their bids, in thousands of dollars, are given below. Job 1 Job 2 Job 3 Job 4 Contractor 1 50 46 42 40 Contractor 2 51 48 44 - Contractor 3 - 47 45 45 A dash indicates that the contractor did not bid on the given job. Contractor 1 can do only one job, but contractors 2 and 3 can each do up to 2 jobs. Determine the minimum cost assignment of contractors to jobs.Correct Suppose a software company wants to form a new 36-person committee for a new project. There are 136 employees in the sales department, 103 employees in the development department, and 174 in the design department. Use the Huntington-Hill method to determine the allocation of committee members based on department size.
- Write down the mathematical expressions for: The market-clearing condition when all endowments are owned by a private-sector individual and that an allocation (x, y) must be feasible in a world with private-endowment, but NO production.A coding supervisor has two full-time coders who average 35 productive hours per week. A standard of 20 minutes per chart has been established as the departmental coding standard. The facility anticipates an increase in the number of discharges since a new wing to the facility is nearing completion. It is anticipated that the number of discharges will increase to a total of 300 discharges to be coded per week. Will new staff be required and, if so, how many additional coders will be needed?The Center for Information Technology at State Univer-sity has outgrown its office in Bates (B) Hall and is mov-ing to Allen (A) Hall, which has more space. The move will take place during the three-week break between the end of summer semester and the beginning of fall semes-ter. Movers will be hired from the university’s physical plant to move the furniture, boxes of books, and files thatthe faculty will pack. The center has hired a local retailcomputer firm to move its office computers so they willnot be damaged. Following is a list of activities, theirprecedence relationships, and probabilistic time estimatesfor this project:Determine the earliest and latest start and finish times, thecritical path, and the expected project duration. What is theprobability the center will complete its move before thestart of the fall semester?
- Use the assignment method to obtain a plan that will minimize the processing costs in the following table under the following conditions: The combination 2-D is undesirable. The combinations 1-A and 2-D are undesirable.Consider the market depicted in the graph and assume the government imposes a price floor of P2. At P2, 150 units of the good are supplied (wish to be sold) and 50 units of the good are demanded (wish to be bought). Choose the correct ones: Without an enforcement mechanism, the effect of a binding price floor will be negligible because it will simply be ignored because buyers and sellers enrich themselves by trading below the floor price. With an enforcement mechanism, the effect of a binding price floor may still be negligible if the enforcement mechanism is easy to evade or doesn't impose a significant penalty for selling below the price floor. Without an enforcement mechanism, the effect of a binding price floor will be negligible because it will simply be ignored because buyers and sellers enrich themselves by trading above the floor price. With an enforcement mechanism, the effect of a binding price floor may still be negligible if the enforcement mechanism is easy to evade or…The Pharoah Inc., a manufacturer of low-sugar, low-sodium, low-cholesterol TV dinners, would like to increase its market share in the Sunbelt. In order to do so, Pharoah has decided to locate a new factory in the Panama City area. Pharoah will either buy or lease a site depending upon which is more advantageous. The site location committee has narrowed down the available sites to the following three very similar buildings that will meet their needs.Building A: Purchase for a cash price of $ 618,100, useful life 26 years.Building B: Lease for 26 years with annual lease payments of $ 70,340 being made at the beginning of the year.Building C: Purchase for $ 653,200 cash. This building is larger than needed; however, the excess space can be sublet for 26 years at a net annual rental of $ 6,540. Rental payments will be received at the end of each year. The Pharoah Inc. has no aversion to being a landlord.Click here to view factor tablesIn which building would you recommend that The…