A company is considering three alternative investments from which to choose. It will cost $21,000 to consider investment 1, and $30,000 to consider investment 2, and $28,000 to consider investment 3. The company can only choose 2 out of the 3 investments and it has a budget of $62,000 to spend on these investments. The company has a limitation of 36 resources for these investments, where investment 1 requires 15 resources, investment 2 requires 13 resources and investment 3 requires 18. The NVP on investment 1 is $9000, $12000 for investment 2, and $8000 for investment 3. Develop a 0-1 integer programming model to maximize the NPV in this situation. Use excel to solve this problem. The Objective function: [Select] # The Constraint: Budget: [Select] Resources: [Select] #
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- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.Noah Yobs, who has $75,400 of AGI (solely from wages) before considering rental activities, has $67,860 of losses from a real estate rental activity in which he actively participates. He also actively participates in another real estate rental activity from which he has $37,700 of income. He has other passive activity income of $24,128. a. What amount of rental loss can Noah use to offset active or portfolio income in the current year? 6,032 Compute Noah’s AGI on Form 1040 [pages 1 and 2; also complete Schedule 1 (Form 1040)] for the current year. Use the minus sign to indicate a loss.The subject property has a pool valued at $30,000 and two bathrooms valued at $10,000 each. Comp 1 does not have a pool and has one less bathroom than the subject property. What adjustments should be made to Comp 1's value? subtract $40,000 from Comp 1's value add $40,000 to Comp 1's value add $20,000 to Comp 1's value subtract $20,000 from Comp 1's value
- Josh Randall, a sales representative for WAI, has convincedhis customer (order #2 in Problem 9) to reschedule. Order #2 hasagreed to accept delivery of 25 units in week 2 as long as WAIcan also guarantee delivery of an additional 25 units in week 5.If WAI cannot meet both delivery requirements, the customerhas threatened to withdraw its entire order. You have alreadypromised orders 1, 3, and 4. Can you assure Josh that WAI willdeliver on time? Show your calculations.GRAPHICAL METHOD: A store wants to liquidate 200 of its shirts and 100 pairs of pants from last season. They have decided to put together two offers, A and B. Offer A is a package of one shirt and a pair of pants which will sell for $30. Offer B is a package of three shirts and a pair of pants, which will sell for $50. The store does not want to sell less than 20 packages of Offer A and less than 10 of Offer B. How many packages of each do they have to sell to maximize the money generated from the promotion? Attach the PDF or JPEG file of the solution made. *4. Optimal Rental Decisions in Cloud Computing Assume that AWS has the following 3 options for renting servers. Fraction of Job in one Server Description Rental Low Power Medium Power High Power $2/hr. $4/hr. $9/hr. Hour 1/8 1/6 1/3 L M Note that if you rent a server for less than one hour, you still must pay the rent for the entire hour. You have a job that must finısh in at most 5 hours. The low-power server can finish 1/8th of the job in 1 hour, the medium-power server can finish 1/6 of the job in one hour, and the high- power server can finish 1/3rd of the job in one hour. (a) The typical practice used by most firms is to find a single server that can do the work at the least cost and within the available time. Find the best sıngle server solution-that is, which single server should you use and for how many hours will you rent this server?
- Formulate an LP model for the following problems.1. Bernadette intends to invest up to ₱50,000 in either Best Fund, or a time deposit orboth. The Best Fund pays 8% per year and the time deposit pays 9%. Because theBest Fund is riskier than the time deposit, so she intends to put at most ₱30,000 intothe time deposit and at least ₱10,000 into the Best Fund. How much should she allotto each investment in order to maximize her returns?Company X is planning to run a project that requires an initial investment of RM 80,000.Operation cost is estimated at RM 20,000 per year starting one year from the start of theproject until its project life. Starting second year onwards, the operation cost is expectedto increase by RM 5,000 from previous year. The project will start to generate its annualincome of RM 70,000 on the second year until fifth year. The salvage value of the projectis RM 50,000 and its project life is five years. a) Construct the cash flow diagram to summarize the above transactions. b) Determine the expected project value at the end of five years. Assume the growth rateis 12%.John is shopping for a new camera. He wants to be a professional photographer, so he wants a brand name that is used by professionals. After some research he determines that professionals use Nikon, Canon, Sony and Fuji. In addition, he would like the camera to have interchangeable lenses, and both manual and automatic settings. However, John is still a student, and he cannot afford to spend more than $500. He decides that, since money is the limiting factor, he will make a list of all cameras he can find that sell for under $500. Next, because interchangeable lenses are very important to a professional, he strikes off of his list all the cameras that do not have that feature. If more than one camera is left on the list, he will look at whether one has both manual and automatic settings, etc. What decision rule is John using? Conjunctive Linear Compensatory Straight-forward Disjunctive Lexicographic Disputational
- You have been asked to estimate the cost of 100 prefabricated structures to be sold to a local school district. Each structure provides 1,000 square feet offloor space, with 8-feet ceilings. In 1999, you produced 70 similar structures consistingof the same materials and having the same ceiling height, but each provided only 800square feet of floor space. The material cost for each structure was $25,000 in 1999, andthe cost capacity factor is 0.65. The cost index values for 1999 and 2006 are 200 and 289,respectively. The estimated manufacturing cost for the first 1,000-square-foot structureis $12,000. Assume a learning curve of 88% and use the cost of the 50th structure asyour standard time for estimating manufacturing cost. Estimate the total material costand the total manufacturing cost for the 100 prefabricated structures.Job Costing Johnson Inc. is a job-order manufacturing company that uses a predetermined overhead ratebased on direct labor hours to apply overhead to individual jobs. For the current year, estimated direct laborhours are 95,000 and estimated factory overhead is $617,500. The following information is for Septemberof the current year. Job A was completed during September, and Job B was started but not finished.[LO 4-3, 4-4, 4-5]September 1, InventoriesMaterials Inventory $ 7,500Work-in-Process Inventory (All Job A) 31,200Finished Goods Inventory 67,000Material purchases 104,000Direct materials requisitionedJob A 65,000Job B 33,500Direct labor hoursJob A 4,200Job B 3,500Labor costs incurredDirect labor ($8.50/hour) 65,450Indirect labor 13,500Supervisory salaries 6,000Rental costsFactory 7,000Administrative offices 1,800Total equipment depreciation costsFactory 7,500Administrative offices 1,600Indirect materials used 12,000Required1. What is the total cost of Job A?2. What is the total…Trips Logistics, a third-party logistics firm that provides warehousing and other logistics services, is facing a decision regarding the amount of space to lease for the upcoming three-year period. The general manager has forecast that Trips Logistics will need to handle a demand of 100,000 units for each of the next three years. Historically, Trips Logistics has required 1,000 square feet of warehouse space for every 1,000 units of demand. For the purposes of this discussion, the only cost Trips Logistics faces is the cost for the warehouse. Trips Logistics receives revenue of $1.22 for each unit of demand. The general manager must decide whether to sign a three-year lease or obtain warehousing space on the spot market each year. The three-year lease will cost $1 per square foot per year, and the spot market rate is expected to be $1.20 per square foot per year for each of the three years. Trips Logistics has a discount rate of k = 0.1.