IAN Ltd produces both interior and exterior paints from two raw materials, X and Y. The following table provides the basic data of the problem: Page 1 of 4 Tons of raw material per ton of Maximum daily availability(tons) Exterior paint interior paint Raw materials 4 24 Y 1 6. Profit per ton (in $1000 ) A market survey indicates that the daily demand for interior paint cannot exceed that of 4 exterior paint by more than 1 ton. Also, the maximum daily demand of interior paint is 2 tons.
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Formulate Linear Optimization Models for the following
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- Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing expenditures for packaging materials with Jeff Joyner. Ben was particularly disturbed about the amount spent on corrugated boxes purchased from Southeastern Corrugated. Ben said, I dont like the salesman from that company. He comes around here acting like he owns the place. He loves to tell us about his fancy car, house, and vacations. It seems to me he must be making too much money off of us! Jeff responded that he heard Southeastern Corrugated was going to ask for a price increase to cover the rising costs of raw material paper stock. Jeff further stated that Southeastern would probably ask for more than what was justified simply from rising paper stock costs. After the meeting, Ben decided he had heard enough. After all, he prided himself on being a results-oriented manager. There was no way he was going to allow that salesman to keep taking advantage of Coastal Products. Ben called Jeff and told him it was time to rebid the corrugated contract before Southeastern came in with a price increase request. Who did Jeff know that might be interested in the business? Jeff replied he had several companies in mind to include in the bidding process. These companies would surely come in at a lower price, partly because they used lower-grade boxes that would probably work well enough in Coastal Products process. Jeff also explained that these suppliers were not serious contenders for the business. Their purpose was to create competition with the bids. Ben told Jeff to make sure that Southeastern was well aware that these new suppliers were bidding on the contract. He also said to make sure the suppliers knew that price was going to be the determining factor in this quote, because he considered corrugated boxes to be a standard industry item. As the Marketing Manager for Southeastern Corrugated, what would you do upon receiving the request for quotation from Coastal Products?Scenario 4 Sharon Gillespie, a new buyer at Visionex, Inc., was reviewing quotations for a tooling contract submitted by four suppliers. She was evaluating the quotes based on price, target quality levels, and delivery lead time promises. As she was working, her manager, Dave Cox, entered her office. He asked how everything was progressing and if she needed any help. She mentioned she was reviewing quotations from suppliers for a tooling contract. Dave asked who the interested suppliers were and if she had made a decision. Sharon indicated that one supplier, Apex, appeared to fit exactly the requirements Visionex had specified in the proposal. Dave told her to keep up the good work. Later that day Dave again visited Sharons office. He stated that he had done some research on the suppliers and felt that another supplier, Micron, appeared to have the best track record with Visionex. He pointed out that Sharons first choice was a new supplier to Visionex and there was some risk involved with that choice. Dave indicated that it would please him greatly if she selected Micron for the contract. The next day Sharon was having lunch with another buyer, Mark Smith. She mentioned the conversation with Dave and said she honestly felt that Apex was the best choice. When Mark asked Sharon who Dave preferred, she answered, Micron. At that point Mark rolled his eyes and shook his head. Sharon asked what the body language was all about. Mark replied, Look, I know youre new but you should know this. I heard last week that Daves brother-in-law is a new part owner of Micron. I was wondering how soon it would be before he started steering business to that company. He is not the straightest character. Sharon was shocked. After a few moments, she announced that her original choice was still the best selection. At that point Mark reminded Sharon that she was replacing a terminated buyer who did not go along with one of Daves previous preferred suppliers. Ethical decisions that affect a buyers ethical perspective usually involve the organizational environment, cultural environment, personal environment, and industry environment. Analyze this scenario using these four variables.Scenario 4 Sharon Gillespie, a new buyer at Visionex, Inc., was reviewing quotations for a tooling contract submitted by four suppliers. She was evaluating the quotes based on price, target quality levels, and delivery lead time promises. As she was working, her manager, Dave Cox, entered her office. He asked how everything was progressing and if she needed any help. She mentioned she was reviewing quotations from suppliers for a tooling contract. Dave asked who the interested suppliers were and if she had made a decision. Sharon indicated that one supplier, Apex, appeared to fit exactly the requirements Visionex had specified in the proposal. Dave told her to keep up the good work. Later that day Dave again visited Sharons office. He stated that he had done some research on the suppliers and felt that another supplier, Micron, appeared to have the best track record with Visionex. He pointed out that Sharons first choice was a new supplier to Visionex and there was some risk involved with that choice. Dave indicated that it would please him greatly if she selected Micron for the contract. The next day Sharon was having lunch with another buyer, Mark Smith. She mentioned the conversation with Dave and said she honestly felt that Apex was the best choice. When Mark asked Sharon who Dave preferred, she answered, Micron. At that point Mark rolled his eyes and shook his head. Sharon asked what the body language was all about. Mark replied, Look, I know youre new but you should know this. I heard last week that Daves brother-in-law is a new part owner of Micron. I was wondering how soon it would be before he started steering business to that company. He is not the straightest character. Sharon was shocked. After a few moments, she announced that her original choice was still the best selection. At that point Mark reminded Sharon that she was replacing a terminated buyer who did not go along with one of Daves previous preferred suppliers. What should Sharon do in this situation?
- Scenario 4 Sharon Gillespie, a new buyer at Visionex, Inc., was reviewing quotations for a tooling contract submitted by four suppliers. She was evaluating the quotes based on price, target quality levels, and delivery lead time promises. As she was working, her manager, Dave Cox, entered her office. He asked how everything was progressing and if she needed any help. She mentioned she was reviewing quotations from suppliers for a tooling contract. Dave asked who the interested suppliers were and if she had made a decision. Sharon indicated that one supplier, Apex, appeared to fit exactly the requirements Visionex had specified in the proposal. Dave told her to keep up the good work. Later that day Dave again visited Sharons office. He stated that he had done some research on the suppliers and felt that another supplier, Micron, appeared to have the best track record with Visionex. He pointed out that Sharons first choice was a new supplier to Visionex and there was some risk involved with that choice. Dave indicated that it would please him greatly if she selected Micron for the contract. The next day Sharon was having lunch with another buyer, Mark Smith. She mentioned the conversation with Dave and said she honestly felt that Apex was the best choice. When Mark asked Sharon who Dave preferred, she answered, Micron. At that point Mark rolled his eyes and shook his head. Sharon asked what the body language was all about. Mark replied, Look, I know youre new but you should know this. I heard last week that Daves brother-in-law is a new part owner of Micron. I was wondering how soon it would be before he started steering business to that company. He is not the straightest character. Sharon was shocked. After a few moments, she announced that her original choice was still the best selection. At that point Mark reminded Sharon that she was replacing a terminated buyer who did not go along with one of Daves previous preferred suppliers. What does the Institute of Supply Management code of ethics say about financial conflicts of interest?Kwame after his National Service and with no hope of securing a job in the formal sector has decided to run a taxi service. The following forecast has been made for the operation of a service between Abisim and Sunyani. i) Revenue totaling GH¢300 a week for 52 weeks in a year. This is net of fuel and other variable costs. ii) Tyres; four pieces for a year at GH¢120 per unit. iii) Maintenance and servicing; GH¢120 per month. iv) Salaries GH¢3,000 per year v) Insurance GH¢350 per year The net cash flow will increase at 5% per annum for the next five years due to inflation. The cost of the vehicle is estimated at GH¢28,000. The project appears quite profitable based on the NPV criteria using the Government policy rate of 26%. However the banks are offering rates far higher than the policy rate. Required: You are to calculate the break-even rate for the project.Lea Ray is the revenue manager at the 200-room Hilton Garden Inn. She tracks her occupancy and ADR on a daily basis. The following data represent her hotel’s Thursday night performance for the past seven weeks. Thursday Week 1 Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 Occ. % 69.5 73.5 66.5 72.0 72.5 69.0 77.0 ADR $151.50 $145.95 $161.50 $178.50 $179.95 $129.95 $159.95 Using that historical data, calculate her Occupancy %, ADR, and RevPAR for these trailing periods: Note: Round each number to the nearest tenth
- Q_1Al-Amal Factory for Plastic Production Its expected production capacity is 2300 tons, while its design capacity is 3200 tons. Calculate the effective capacity of the plant? Q_2If the estimated quantity for four seasons is 250, using an index number 1.20, find the prediction of seasonal factors for the first semester? Q_3If the fixed costs of a company are estimated at 5000 at the selling price of 20 units, with non-cash fixed costs estimated at 2000 units and bear a variable cost per unit by 15 units, then the amount of the break-even point =?2. Avondale ice-cream shop in St Catherine's has been buying vegan-custard for its own plant base chunky chocolate passion explosion flavor using EOQ analysis. The supplier has now offered Avondale a discount of $0.50 off all units if the firm will make its purchases monthly or $1.00 off if the firm will make its purchases quarterly. Current data for the problem are: D = 720 units per year; S= $6.00, I= 20% per year; P= $25. (a) What is the EOQ at the current behavior? (b) What is the annual total cost, including product cost, of continuing their current behavior? (c) What are the annual total costs, if they accept either of the proposed discounts? (d) At the cheapest of the total costs, are carrying costs equal to ordering costs? Explain.The current data for five trees that will be analyzed in the exercise are shown in the following table Expected Yearly Demand Quantity For Sale In-Field Quantity 440 74 Trees Christmas Palm Washingtonia Gumbo Limbo Yellow Poinciana Weeping Podo 81 165 159 49 185 Trees Christmas Palm Washingtonia Std Dev 31 155 35 32 68 Gumbo Limbo Yellow Poinciana The "expected yearly demand" is an estimate of the demand over the next year for the tree. The "std dev" is the standard deviation, a measure of the error, that corresponds to the forecast. For-sale and in-field quantities are given, and finally the total number of trees planted on the farm. The demand forecast and quantities are updated on an ongoing basis as trees are sold and planted on the farm. 374 70 42 290 Your first task is to evaluate the inventory "position" of each tree. The farm does not keep any backorder information, so the only data you have is "for-sale" and "in-field" quantities. Think about "for-sale" as on-hand trees, and…
- Tucson Machinery, Incorporated, manufactures numerically controlled machines, which sell for an average price of $0.5 million each. Sales for these NCMs for the past two years were as follows: Use Exhibit 3.10. QUARTER LAST YEAR QUANTITY (UNITS) QUARTER THIS YEAR QUANTITY (UNITS) 1 12 1 16 2 18 2 24 3 26 3 28 4 16 4 18 Find a line using regression in Excel. Note: Round your answers to 3 decimal places. Find the trend and seasonal indexes. Note: Round your answers to 3 decimal places. Forecast sales for next year. Note: Round your answers to 2 decimal places.Demand history for the past three years is shown below, along with the seasonal indices for each quarter. Seasonal Index Year Year 1 Year 2 Year 3 Quarter Q1 02 03 04 Q1 02 Q3 04 01 Q2 Q3 04 Demand 225 253 392 310 229 242 391 360 220 256 400 288 0.756 0.845 1.327 1.075 0.756 0.845 1.327 1.075 0.756 0.845 1.327 1.075 Do not round intermediate calculations. Round your answer to the nearest whole number. Use exponential smoothing with alpha (a) = 0.2 and an initial forecast of 297 along with seasonality to calculate the Year 4, Q1 forecast.(b) Solve the linear program developed in part (a), to determine the optimal production plan. If the amount is zero, enter "0". Qty Produced Phillipines Mexico PT-100 PT-200 PT-300 Total Cost = __________$ (c) Use sensitivity analysis to determine how much the production and/or shipping cost per unit would have to change to produce additional units of the PT-100 in the Philippines plant. If required, round your answer to two decimal digits. At least $ _________/ unit. (d) Use sensitivity analysis to determine how much the production and/or shipping cost per unit would have to change to produce additional units of the PT-200 in the Mexico plant. If required, round your answer to two decimal digits. At least $ _______/ unit.