The management team of a small furniture-manufacturing company is under pressure to increase profitability to get a much-needed loan from the bank to purchase a more modern pattern-cutting machine. One proposed solution is to sell waste wood chips and shavings to a local charcoal manufacturer instead of using them to fuel space heaters for the company’s office and factory areas. Define the company’s problem. Next, reformulate the problem in a variety of creative ways. Develop at least one potential alternative for your reformulated problems in Part(a) (Don’t concern yourself with feasibility at this )
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The management team of a small furniture-manufacturing company is under pressure to increase profitability to get a much-needed loan from the bank to purchase a more modern pattern-cutting machine. One proposed solution is to sell waste wood chips and shavings to a local charcoal manufacturer instead of using them to fuel space heaters for the company’s office and factory areas.
- Define the company’s problem. Next, reformulate the problem in a variety of creative ways.
- Develop at least one potential alternative for your reformulated problems in Part(a) (Don’t concern yourself with feasibility at this )
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- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?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.During the year, Brownout Company experienced the following power outages:Number of Power Outages Per Month Number of Months 0 3 1 2 2 4 3 3 12Each power outage results in out of pocket costs of P400. For P500 per month, the company can lease an auxiliary generator to provide power during outages. If the company leases an auxiliarygenerator next year, the estimated savings (or…
- Two home improvement stores (Great Home and Super Home) in a growing urban area are interested in expanding their market share. Both are interested in expanding the size of their store. and parking lot to accommodate potential growth in their customer base. Two possible actions for both the firms are increase the size of the store and parking lot' and 'do not increase the size of the store and parking lot. Payoffs are defined in terms increase in annual profits in $million. The Following table describes the payoffs for both the firms to alternative actions taken by each of them.. a) Lets say, each store is pursuing its own best interest. What will be a rational (or dominant) strategy for Super Home to follow? Explain in 3-4 sentences. What will be a rational (or dominant) strategy for Great Home to Follow? b) [What will be the annual profit growth for each store, if they both follow their dominant strategy? What is a Nash equilibrium here and why? Find out the Nash equilibrium using…In the environment of increased competition, a fitness club executive is considering the purchase of additional equipment. They are choosing between Acme, Standard and High Pro. With new equipment they can attract new clients and increase their overall profits. The profits are dependent on the markets demand for the new equipment and brand name recognition. If they go with the Acme equipment, there profit would be $375,000 in a favorable market or -$125,000 in an unfavorable market. If they go with the Standard equipment, there profit would be $250,000 in a favorable market or -$95,000 in an unfavorable market. If they go with the High Pro equipment, there profit would be $175,000 in a favorable market or -$50,000 in an unfavorable market. a) Create a decision table and a decision tree. b) If the executive is an optimistic decision maker, which alternative will he choose? What is the payoff? c) If the executive is a pessimistic decision maker, which alternative will he choose? What is…The following table represents sales data for milk (in hundred liters) sold by a grocery. Do the computations to fill out the table and answer the following questions: Using MAD as the criterion, which of the following models would you use for the given time series data? Why? Naïve approach; 5-month SMA model; WMA model with weights 0.1, 0.3, and 0.6; or ES model with α = 0.5 and a forecast of 3,500 liters in the first month. NOTE: In answering Item 1, mention the whole description of the model; i.e., not just “SMA model”, but “SMA model with n = …”; not just “WMA model”, but “WMA model with weights …”; not just “ES model”, but “ES model with α = …”. Interpret the MAD of the most accurate among the forecasting models above. 3. Based on your decision in Item 1, what should be the forecast for Month 11?
- Please answer this using EXEL AND SOLVER ADD IN. Include and identify decision variables, objective, and constraints. Please also upload what the info in solver you added was!!!! It is summertime and your winter coat factory is trying to decide its production schedule and staffing level for the next season. You are forecasting demand of 5000 coats in October, 8000 coats in November, 8000 coats in December, 12000 coats in January, 12000 coats in February and 9000 coats in March. You want to manufacture these coats at the lowest cost possible during your production window (October-March). The first decision you need to make is how many people to hire. Each employee will cost $2500 a month. You don’t want to hire or fire any employees mid-season in order to minimize disruptions in your factory floor. You can have employees idle if there isn’t sufficient work for them to do. Employees still need to be paid even if they are idle. An employee works 20 business days a month and takes half a…Use the following data to answer all of the remaining questions. Consider a commodity market where the products provided by all sellers are identical. A group of 12 potential buyers in this market have willingness to pay (WTP) as follows (in random order): $65, $60, $55, $80, $70, $30, $20, $55, $10, $45, $40, and $15. A group of potential suppliers serving this market have wiliness to accept (WTA) as follows (also in random order): $20, $25, $30, $10, $45, $50, $55, $15, $20, $30, $40, and $60. What is the value captured by all sellers? Buyers 2. What is the value captured in this market by an individual buyer with WTP = $80? 3. What is the total consumers surplus (i.e., all buyers) in this market? Value added 4. What is the value added for the supplier with a WTA (willingness to accept) of $15?Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.) A boat company manufactures aluminum dinghies and rowboats. The hours of metal work and painting needed for each are shown in the table, together with the hours of skilled labor available for each task. How many of each kind of boat can the company manufacture? (hours) Dinghy Rowboat Labor Available Metal Work 2 3 108 Painting 2 2 90 (labor for metal work) (labor for painting) x ≥ 0, y ≥ 0
- Mr Chan lives with his parents in Aberdeen. He owns a flat in causeway bay. The order of preference of ways for him to use his flats as follow 1st choice: run a restaurant. 2nd choice: rent it out. 3rd choice: live in it. Explain how the cost of using the flat to run the restaurant maybe affected if, a. The market rental rate sharply increases. b. His parents health deteriorates and there is an increasing need for him to take care of them. c. He has employed a cook at a salary lower than the market rateFormulate an LP model for the following problems.1. A furniture company makes two products: book shelves selling for ₱5,000 and cabinetsselling for ₱8,000. The direct cost per unit is ₱3,000 and ₱4,000, respectively. Thecompany has no difficulty in selling all the products it can manufacture. The assemblydepartment has 60 hours available per week and the finishing department can handleup to 48 hours of work per week. Manufacturing one book shelf requires 4 hours inassembly and 2 hours in finishing. Each cabinet requires 2 hours in assembly and 4hours in finishing. How can the management allocate the limited man-hour of the twodepartments in a way which will secure the largest possible net return?Type the linear program, optimal solution, and objective function value in a word document. Submit your excel file. A political candidate is planning his media budget for an upcoming election. He has $90,500 to spend. His political consultants have provided him with the following estimates of additional votes as a result of the advertising effort: -for every small sign placed by the roadside, he will garner 20 additional votes. -for every large sign placed by the roadside, he will garner 30 additional votes. -for every thousand bumper stickers placed on cars, he will garner 15 additional votes. -for every hundred personal mailings to voters, he will garner 40 additional votes. -for every radio ad heard, he will garner 485 additional votes. The costs for each of the advertising devices, along with the practical minimum and maximum that should be planned for each, are shown on the following table. How should the candidate plan…