Friendly Waste Co. runs three different factories and is required by law to safely dispose of chemicals. Waste from three different factories can be processed to reduce the amount of two different types of pollutants. State law requires that the total reduction in the amount of pollutant A is at least 30 tons and pollutant B is at least 40 tons. Using the information in the following table: Factory Proc Cost Per Ton Reduction Plant A Reduction Plant B 1 15 0.1 0.45 2 10 0.2 0.25 3 20 0.4 0.3 •Algebraically formulate a linear programming model to represent this problem.
Q: Based on the following sensitivity report, what would be the impact of changing the objective…
A: The 100% rule can be applied to decide if a modification in various objective function coefficients…
Q: The Ace Manufacturing Company has orders for three similar products. Orders (units) Product Min A…
A: Given data is
Q: Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of…
A: Let us assume that x1 amount of Fliptop and x2 amount of Tiptop models are produced, then the…
Q: Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens…
A: Given Information:
Q: Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins…
A: We need to construct the mathematical expression of the objective function that are associated with…
Q: The Carver Family did choose Warehouse Space A. The warehouse includes 8000 sq. ft. of showroom and…
A: In the question data, we have got square foot size of the warehouse, height of the warehouse.…
Q: Accompany makes two products (1&2) each product requires time on two machines (A&B). specification…
A: Linear programming, often known as linear optimization, is a method for obtaining the best result…
Q: A firm offers three different prices on its products, depending upon the quantity purchased. Sınce…
A: Optimization modeling is a branch of mathematics that aims to find the best solution to a complex…
Q: Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database…
A: solve this problem by setting up a linear program in Excel and solving using Excel -> Solver as…
Q: 3.4-17. Comfortable Hands is a company which features a prod- uct line of winter gloves for the…
A: (a) Let M = number of men’s gloves to produce per week Let W = number of women’s gloves to…
Q: 6. The University cafeteria is offering meal plans for their students on a tight budget. They can…
A: Find the given details below: Given details: Plan Monthly cost Extra cost Gold $…
Q: Max 1W + 1.25M s.t. 5W + 7M 3W + 1M 2W + 2M W, M 20 S 4,400 S 2,240 S 1,600 oz of whole tomatoes oz…
A: Objective of the problem is to maximize profit. Each jar is of 10 ounces. Western Food Salsa (W)…
Q: 11. Refer to Problem 10 and the computer solution shown in Figure 3.16. a. Suppose the risk index…
A: Find the given details below: Optimal objective value = 62000 S (Stock fund) = 4000 M (Money…
Q: iven the following information for a product-mix problem with three products and three resources.…
A: Given,
Q: Calculate the breakeven point for each product? Calculate contribution ratio for each product 3.…
A: Break even point is the point of no profit no loss. It is the point where the company is able to…
Q: A wood products firm uses available time at the end of each week to make goods for stock.Currently,…
A: Excel model: Formula: Solver input: Answer: Number of chopping board = 0 Number of knife…
Q: A company that operates 10 hrs a day manufactures three products on three process The following…
A: The answer for A: Here the main motive is to maximize profits, so we should use linear programming…
Q: The Carver Family did choose Warehouse Space A. The warehouse inciudes 8000 sq. ft. of showroom and…
A: here, we could see that following are the information as stated in the question, we have got size of…
Q: A paper-recycling plant processes box board, tissuepaper, newsprint, and book paper into pulp that…
A:
Q: RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production…
A: i. value of objective function = $1633.33 Dual price: highlighted in yellow: note: dual price…
Q: Plant Electronics Limited is considering producing three new computer boards on a daily basis. Each…
A: Given Information:
Q: 15. Hyatt Company makes two products, X and Y. Their contribution margins are P 50 and P 90,…
A: Given Information:
Q: A firm offers three different prices on its products, depending upon the quantity purchased. Since…
A: Let; x11=Units produced of Product 1 with a profit of $16 x12=Units produced of Product 1 with a…
Q: The 3J Company manufactures handbags, shoulder bags, and backpacks. The construction of the three…
A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…
Q: A company manufactures two products A and B. Each unit of A requires 4 labour hours of processing…
A: Introduction: The term Business refers to an exchange of goods and services between the buyer and…
Q: 2. Back Savers is a company that produces backpacks primarily for students. They are considering…
A: given, nylon = 5000 sq foot material each week sales forecast = 1000 colligenate and 1200 minis per…
Q: A Garment Company manufactures blue jeans. Three designs are considered: A, B, and C. The…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Determine the distribution for the company so as to minimize the cost of transportation using least…
A: The transportation model is used to calculate the minimum cost of the route by selecting different…
Q: Gerald Glynn manages the Michaels Distribution Center. After careful examination of his database…
A:
Q: Indigo airlines offers coach and first class tickets.For the airlines to be in a profitab…
A: The process through which the variables that maximize or minimize linear equations are determined is…
Q: 5. Myco is considering the introduction of three new products. For each product, the labor and raw…
A: The given information is as follows. The plants and capacity of the plants:
Q: Problem 2 Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed…
A: Note: I have answered for sub-parts (1) and (2). Kindly post the remaining sub-parts separately.
Q: Ex-2: Reddy mikks produces both interior and exterior paints from tow raw materials Ml and M2 the…
A: Decision variable: Let; x1 be the tons of exterior point to be produced x2 be the tons of interior…
Q: A firm is considering three different locations in which to build a factory. The costs associated…
A: Crossover point is the point where parametric value for different options is same for all. Prior to…
Q: A manufacturing firm closed down the production of a certain unprofitable product line. This…
A: Decision variables: Let ; Number of units of A to be produced=x1 Number of units of B to be…
Q: California MegaTech is a manufacturing company that, due to low interest rates, thinks now may be…
A: Linear programming is a mathematical tool for optimizing operations with some constraints. The main…
Q: The optimum solution is: X = (round your response to two decimal places). Y = (round your…
A: The answer is as below:
Q: Wk Qu. 8-13 A firm offers three different prices on its... A firm offers three different prices on…
A: A production plan exhibits stimulating support or guides a plan and production of a particular item…
Q: #1- Maxwell Manufacturing makes two models of felt tip marking pens. Requirements and available…
A: Hello thank you for the question. As per guidelines, we would provide only one answer at a time.…
Q: Compute the objective function value for the following problem: Min 260X + 65Y subject to : 2X>=0…
A:
Q: Brady Corporation produces cabinets. Each week, itrequires 90,000 cu ft of processed lumber. The…
A: Let ‘a’ be the number of cubic feet of grade 1 lumber by purchasing. Let ‘b’ be the number of cubic…
Q: A new product is planned to be manufactured for the following four weeks. The demands for cach week…
A: part 1
Q: Fashion Fun makes 2 types of high end sneakers for toddlers, "Run-It-Out" brand and Jump-It-Out"…
A: Decision Variable: Suppose -X be the no. of 'Run-In-Out' brand sneaker to manufactureY be the no. of…
Q: ou are given a linear programming problem. Maximize P = 3x + 3y subject to 5x + 3y ≤ 30…
A: In the graphical method, the points are identified and then a line is drawn. Using this line, the…
Q: RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production…
A: given,
Q: A manufacturing fi rm has discontinued production of a certain unprofi table product…
A: Let X1 be the number of product X1 X2 be the number of product X2 X3 be the number of product X3
Q: Singsong Ltd has expanded its business operations and they are now manufacturing two types of TVs in…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: LP PROBLEM: Ozark Farms uses at least 800 lb. of special feed daily. The special feed is a mixture…
A: Given data is
Friendly Waste Co. runs three different factories and is required by law to safely dispose of chemicals. Waste from three different factories can be processed to reduce the amount of two different types of pollutants. State law requires that the total reduction in the amount of pollutant A is at least 30 tons and pollutant B is at least 40 tons. Using the information in the following table:
Proc Cost Per Ton | Reduction Plant A | Reduction Plant B | |
1 | 15 | 0.1 | 0.45 |
2 | 10 | 0.2 | 0.25 |
3 | 20 | 0.4 | 0.3 |
•Algebraically formulate a linear programming model to represent this problem.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
- 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?The following information was extracted from the books of Babel Company for the production of rubber products for the year 2020: The number of units sold of product (A) amounted to 60 units The selling price of one unit of product (A) is 100,000 dinars The variable cost of producing one unit of product (A) is 35,000 dinars The fixed cost of the product line (A) is 1,000,000 dinars annually, find the following: break-even point (quantities), break-even point (values), contribution margin per unit of product (A), percentage of safety limit, operating income(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.
- 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…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 tenthBienestar Company produces two types of get - well cards: scented and regular. Drivers for the four activities are as follows: Calculate the consumption ratios for the four drivers ( round to two decimal places).
- 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 =?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.Gregory has started a small agricultural business that specialises in maize and sunflower seeds inGrey Town, KZN. His produce is AgriSA approved, and his organisation is looking to hire a supply chain management consultant given their impact and contribution to the local economy. You have been recruited by Gregory, assist him with the following questions: Gregory is uncertain as to which replenishment system he should use. Differentiate between the continuous review and periodic review models and suggest the most suited for him with the aid of at least two practical examples.Note: you are required to provide a paraphrased overview of the models before at least two practical examples are provided to support the choice.