Which constraint ensures that the firm will not spend more capital than it has available (assume that each potential project has a different cost)?
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- 1. Suppose we have a project with the following cash flows and required return. What is the NPV and IRR of the project? t 0 $ Cash flow (250,000) 1 234567 Return: NPV: IRR: 41,000 48,000 63,000 79,000 88,000 64,000 41,000 12% 2. Given the information of Stock A, please figure out the expected return, variance, and standard deviation of the stock. (6) (5) Squared (1) State of (2) (3) (4) Probability of Return if State Product Return Deviation from Expected Return Return Deviation from Expected (7) Product Economy State Occurs (2) × (3) (3) - E(R) Return (2) x (6) Boom 0.2 0.24 Normal 0.5 0.11 Recovery 0.2 0.02 Recession 0.1 -0.013 Expected return= Variance = The standard deviation is the square root of the variance, so the standard deviation is: Standard deviation:Market Company’s policy is to have 30% of the next month's sales on hand at the end of the current month. Projected sales for August, September, and October are 26,000 units, 21,000 units, and 31,000 units, respectively. How many units must be purchased in September?Baking dog treats in her kitchen has been a simple process for Emma to manage. She has two ovens, one sink, a refrigerator, and enough room for two people to work at the same time. However, when Emma moves her business out of her home, she will have a commercial kitchen that can accommodate as many as six people working simultaneously. She had never thought of her business as “production” until the real estate agent who showed her the space asked how many production workers she needs to accommodate. At that point, Emma realized she would be running a production system. Even worse, she realized that she had never even visited a manufacturing facility or set foot on a real production floor. How will she ever manage this process?
- b) A management consulting firm has a backlog of 4 contracts. Work on these contracts must be started immediately. Three project leaders are available for assignment to the contracts. Because of the varying work experience of the project leaders, the profit (in R'000) to consulting firm will vary based on the assignment shown in Table 2. The unassigned contract can be completed by subcontracting the work to an outside consultant. Table 2: Profits Contract Project Leader 1 2 3 4 A 13 10 9 11 B 15 17 13 20 с 6 8 11 7 Find the optimal assignment and give the total assignment profit.A builder has located a piece of property that she would like to buy and eventually build on. The land is currently zoned for four homes per acre, but she is planning to request new zoning. What she builds depends on approval of zoning requests and your analysis of this problem to advise her. With her input and your help, the decision process has been reduced to the following costs, alternatives, and probabilities: Cost of land: $3 million. Probability of rezoning: 0.30. If the land is rezoned, there will be additional costs for new roads, lighting, and so on, of $1 million. If the land is rezoned, the contractor must decide whether to build a shopping center or 1,100 apartments that the tentative plan shows would be possible. If she builds a shopping center, there is a 70 percent chance that she can sell the shopping center to a large department store chain for $4 million over her construction cost, which excludes the land; and there is a 30 percent chance that she can sell it to an…If workers contribute to their group’s investments and decide on these investments, workers at different stages of their careers may want different types of capital, for example a durable building versus a temporary one. a. How might the age distribution of the workers make the building they choose to build too temporary or too durable? How can a building be too durable? b. There are also young and old shareholders. Why isn’t the choice of the building’s durability also a problem if they or an elected management makes the decision on it?
- An R&D project in a company is working on a project to make a sample product to be displayed at an international fair in Las Vegas held in 18 months. With additional equipments, the company can make sure they make the sample in 18 months. Develop an optimal crashing time-cost solution to help the company in this project to be ready on time for the fair. C, 4 B, 3 А,5 H,7 D, 3 F, 9 G, 2 Cost per month Activity Normal Time to crash 9,000 4,000 6,000 4,000 2,000 5,000 2,000 9,000 A В C 4 E F 9. G 2 H 7 Duration Path Activity to crash (months) АВСН ADEH FGH5. Common resources versus private goods Spring is here, and Cho and her dad would like to go fishing for the weekend in New Hampshire. Cho could either go to the river in town where anyone can fish without a permit, or she could drive up to a pond located on her family's property PRIVATE PROPERTY in the countryside to fish. Assume that, no matter where people fish, all of the fish that are caught would be kept (that is, there is no "catch and release" policy). The fish in the private pond are considered and whereas the fish in the river are and In other words, the fish in the private pond are an example of and the fish in the river are an example of Fishing in the river will likely lead to because of which of the following reasons? All fishermen will choose to fish in the pond believing that there are more fish there. All fishermen will choose to fish in the river because of the limited access to the pond. Anyone can fish in the river, and one person's fishing activity decreases the…Your town is considering updating one of the local parks. They created a linear program that had the following constraints: 1. Spend no more than $100,000 2. Spend no more than $50,000 on new playground equipment 3. Put in at least three basketball courts After running the linear program, the town saw that the program was infeasible. The town has decided to make constraints 1 & 2 goals, instead of hard constraints. How many decision variables would need to be added to the town's linear program, in order to turn it into a goal program with two soft constraints that allow deviation in both directions?
- ILP Case: Please provide a mathematical formulation for each of the constraints (appearing on separate screens) referring to the following scenario. A car rental company wants to add 5 new models to its current fleet. After some research it has shortlisted the following models as potential additions. Retail Price Car Model Manufacturer Category (in $1000) Sedan 17 12 Sedan 24 3 SUV 28 14 B Sedan 30 15 B SUV 32 16 B SUV 36 Sedan 25 18 Sedan 32 19 SUV 27 10 SUV 35 Denote the decision to add each model i = 1, 2, .., 10 by binary variables y1, y2, ., y10, respectively. A value of 0 for a decision variable indicates not adding and a value of 1 indicates adding the model to the fleet. Constraint: The company wants to select exactly 5 models.A group of developers is opening a health club near a new housing development. The health club—which will have exercise and workout equipment, basketball courts, swimming pools, an indoor walking/running track, and tennis courts—is one of the amenities thedevelopers are building to attract new homebuyers. However, they want the health club to at least break even the first year or two. The annual fixed cost for the building, equipment, utilities, staff, and so on is $875,000, and annual variable costs are $200 per member for things like water, towels, laundry, soap, shampoo, and other member services. The membership fee is $225 per month. How many members will the club need to break even? If the club doubles its break-even membership after a year, what will its profit be?Kathy receives her real estate license. Within a month of receiving her license, she gets a new job offer she can't refuse. She decides to continue to hold her license but not practice, do any real estate work, or collect any referrals at this time. She is willing to renew her license, do her continuing education, and pay the renewal fee for her license. What should Kathy do? ○ Opt not, renew her license or complete the educational requirements ○ Seek a voluntary inactive license. Seek an involuntary inactive license. Seek a broker who will not be upset if she does not work too hard.