Problem 2 Central Critical Chemical (CCC) manufactures three chemicals: A, B and C. These hemicals are produced via two production processes: 1 and 2. • Running process 1 for an hour costs $4 and yields 3 units of A, 1 unit of B, and 1 unit of C. • Running process 2 for an hour costs $1 and yields 2 units of A and 1 unit of B. o meet customer demand, at least 6 units of A, 3 units of B, and 1 unit of C must be produced aily. Suppose you are asked to formulate an LP model for CCC to determine an optimal daily roduction plan (i.e., how many hours should CCC run process 1 and how many hours should CCC un process 2 each day) that minimizes the total cost. (a) Write down LP model and clearly define the decision variables, the objective function, and constraints. (b) Solve the LP model using the graphical method.
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Linear programming, often known as linear optimization, is a method for obtaining the best result (such as the highest profit or the lowest cost) in a mathematical model using linear criteria.
Linear programming is a method for determining the most optimal solution to a problem given constraints. Using linear programming, we convert our real-world issue into a mathematical model. It is made up of a goal function, linear inequalities, and constraints.
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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?Q46 Mixing Company manufactured 2,500 units of its only product during 2022. The inputs for this production are as follows: 550 pounds of Material A at a cost of $2.50 per pound 400 pounds of Material H at a cost of $3.75 per pound 700 direct labor hours at $60 per hour The firm manufactured 3,920 units of the same product in 2021 with the following inputs: 700 pounds of Material A at a cost of $2.20 per pound 560 pounds of Material H at a cost of $3.50 per pound 600 direct labor hours at $58 per hour The partial operational productivity of Material A in 2021 is: Multiple Choice 5.60 units per pound. 0.44 units per pound. 4.67 units per pound. 5.18 units per pound. 0.51 units per pound.Problem 7-14 (Algo) AudioCables, Inc., is currently manufacturing an adapter that has a variable cost of $0.50 per unit and a selling price of $1.40 per unit. Fixed costs are $14,000. Current sales volume is 30,000 units. The firm can substantially improve the product quality by adding a new piece of equipment at an additional fixed cost of $6,000. Variable costs would increase to $0.60, but sales volume should jump to 50,000 units due to a higher-quality product. a. What is the current profit and proposed profit of the sales of AudioCables? (Negative amounts should be indicated by a minus sign.) Current profit Proposed profit b. Should Audio Cables buy the new equipment? No Yes O There is insufficient information provided to answer this question
- 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…PROBLEM 2:The manager of a large manufacturer of industrial pumps prepare forecasts for a six- month period. Month Demand Forecast 1 492 488 2 470 484 3 485 480 4 493 490 5 498 497 6 492 493 Required: Compute for the MAD, MSE, and MAPE.Accompany makes two products (1&2) each product requires time on two machines (A&B). specification for each product is as follows. Product1 product2 Processing time on Machine A (hrs/unit) 2 2 Processing time on Machine B (hrs/unit) 1 2 Material and labour cost ( ksh/unit) 14 15 Selling price (ksh/unit) 16 18 Maximum possible sale (units) 130 150 The amount of time available on machine A is 360 hours and on machine B is 260 hours. Formulate the linear programme which, when…
- On Week a) Item: P24 hand 1 2 3 4 5 6 7 8 Forecast 30 30 30 40 40 40 45 45 Customer Orders 13 8 4 PAB 20 Available to Promise MPS b) Determine if each customer order will be accepted. Order Amount Week Accept (Y/N) 1 40 2 30 3 4 30 25 462M 3 Update the MPS time-phased record for accepted orders. Item: P24 Forecast Customer Orders Problem 3: The MPS planner at Murphy Motors uses MPS time-phased records for planning end-item production. The planner is currently working on a schedule for the P24, one of Murphy's top-selling motors. The planner uses a production lot size of 70 and a safety stock of 5 for the P24 motor. a) Complete the MPS time-phased record for product P24. Use the table on the left. b) Determine if Murphy Motors can accept each of the following customer orders. Update the MPS time- phased record for accepted orders. Order 1234 Amount 40 Desired Week 4 30 30 25 623 8 4 On Week hand 1 2 3 4 5 6 30 30 30 40 40 40 74 45 45 PAB 20 Available to Promise MPS On hand = 203. Identify practical implications of ECRM.Problem 1. During your first month as an employee at Greenfield Industries (a large drill- bit manufacturer), you are asked to evaluate alternatives for producing a newly designed drill bit on a turning machine. Your boss' memorandum to you has practically no information about what the alternatives are and what criteria should be used. The same task was posed to a previous employee who could not finish the analysis, but she has given you the following information: An old turning machine valued at $350,000 exists (in the warehouse) that can be modified for the new drill bit. The in-house technicians have given an estimate of $40,000 to modify this machine, and they assure you that they will have the machine ready before the projected start date (although they have never done any modifications of this type). It is hoped that the old turning machine will be able to meet production requirements at full capacity. An outside company, McDonald Inc., made the machine seven years ago and can…