(a) Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit. (Let E represent the EZ-Rider model and let L represent the Lady-Sport model.) )₂ Ls 2,100 Ls 300 2E+2.5Ls 1000 E, L20 Max s.t. (6 2,400€ +1800 E+ (3 (b) Solve the problem graphically. What is the optimal solution? (E, L)= (c) Which constraints are binding? (Select all that apply.) Engine manufacturing time. Lady-Sport maximum Assembly and testing time Engine manufacturing time Lady-Sport maximum Assembly and testing time
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- A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and at least 40 units 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit. A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and each brand Y capsule costs P9.00, how many capsules should the patient take each day to minimize the costs?Digital Controls, Inc. (DCI), manufactures two models of a radar gun used by police to monitor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case requires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week, the Newark plant has 600 minutes of injection-molding time available and 1,080 minutes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI occasionally…A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and atleast 30 units of Vit. E each day. Each brand X multivitamin capsule contains 4 units of Vit. A, 6 units of Vit. C, and 2 units of Vit. E; each brand Y capsule contains 5 units of Vit.A, 3 units of Vit.C, and 5 units of Vit. E. If each brand X capsule costs P6.00 and eachbrand Y capsule costs P9.00, how many capsules should the patient take each day tominimize the costs? Solve using graphical method. Show complete solution.
- 4 To meet the prelicensing education requirement, an Individual must successfully complete: A) 10 hours of education, Including include 3 hours of federal law and regulations training, 3 hours of ethics training, and 2 hours of training relate standards for the nontraditional mortgage product marketplace B) 15 hours of education, including 3 hours of federal law and regulations training, 3 hours of ethics training, and 2 hours of training related to the nontraditional mortgage product marketplace. C) 20 hours of education, Including 3 hours of federal law and regulations training, 3 hours of ethics training, and 2 hours of training the nontraditional mortgage product marketplace. D) 25 hours of education, Including 3 hours of federal law and regulations training, 3 hours of ethics training, and 2 hours of training related to lend the nontraditional mortgage product marketplace.Satomi works in a research facility that provides statistical results for the bioengineering firm TechCureCase. She is one of four interns expected to go through hundreds of samples per day. At her first week on the job, her supervisor informs her that all blood samples are to be completely anonymous. No testing can be done if personal information is revealed—meaning, the samples must be properly disposed of if opened, or returned to the physicians if unopened to be re-anonymized. For the first five weeks, most of the new interns follow procedures to check that samples were anonymized before testing occurred. However, one of the interns, Max, failed to verify whether the samples were anonymized. Halfway through the testing, Satomi discovers the non-anonymized samples. She considers whether they should tell their supervisor, but the other interns ask her not to speak up so that they won’t get in trouble. One of the interns argues that as long as they remove the information from the…14. Digital Controls, Inc. (DCI) manufactures two models of a radar gun used by police to mon- itor the speed of automobiles. Model A has an accuracy of plus or minus 1 mile per hour, whereas the smaller model B has an accuracy of plus or minus 3 miles per hour. For the next week, the company has orders for 100 units of model A and 150 units of model B. Although DCI purchases all the electronic components used in both models, the plastic cases for both models are manufactured at a DCI plant in Newark, New Jersey. Each model A case re- quires 4 minutes of injection-molding time and 6 minutes of assembly time. Each model B case requires 3 minutes of injection-molding time and 8 minutes of assembly time. For next week the Newark plant has 600 minutes of injection-molding time available and 1080 min- utes of assembly time available. The manufacturing cost is $10 per case for model A and $6 per case for model B. Depending upon demand and the time available at the Newark plant, DCI…
- Knott's Berry Farm is contemplating buying a new van for its operations. The farm's engineering staff has researched the market and found 2 units that appear to meet their requirements. Truck # 1 has a cost of $37,000 and requires an annual maintenance cost of $2,700. At the end of its useful life (3 years), it is projected to have a salvage value of $5,000. On the other hand, Truck #2 has an initial cost of $40,000 and requires only $2,000 in annual operating costs because the manufacturer is claiming that some routine maintenance is covered in the price of the truck. Truck # 2 has an estimated salvage value of $8,000 at the end of its 4 year service life. The CEO has determined that the farm's MARR is 12%. The trucks are needed for 12 years according to the 2024 Strategic Plan. The Engineering Department has determined that no significant changes are needed in the future that would change prices and functional characteristics of each truck. As a member of the Engineering Department,…Mpho is an avid seamstress and want to sew and sell high quality, reusable designer face masks during the current Covid-19 pandemic. She will design and sew the masks herself and use her automatic embroidery machine to put her logo on each mask sold. With the help of her son, deliveries will be made all over Gauteng within 3 days of placing the order. Every mask will have a unique three-layer design with adjustable straps to ensure comfort and it. Mpho’s only expenseis the material needed to sew the masks and delivery costs. At this stage, Mpho’starget market is limited to Gauteng. Draw a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flow of products/ services. Question: 1. Draw a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flow of products/ services.A Company produces a component for use in the aerospace industry. The component consists of three parts (A, B and C), which are purchased externally and cost 50c, 60c and 70c per piece respectively. Parts A and B are assembled first on assembly line 1, which produces 150 components per hour. Part C undergoes a drilling operation before being finally assembled with the output from assembly line 1. There are six drilling machines in total, but only three are currently operational. Each drilling machine drills part C at a rate of 30 parts per hour. The final assembly line has a production capacity of 100 components per hour. At present, components are produced eight hours a day, five days a week. If the need arises, management can add a second shift of eight hours for the assembly lines only. The cost of assembly labour is 40c per assembly operation for each assembly line; the cost of drilling labour is 20c per part. For drilling, the cost of electricity is 10c per part. The overhead cost…
- Mpho is an avid seamstress and want to sew and sell high quality, reusable, designer face masks during the current Covid-19 pandemic. She will design and sew the masks herself and use her automatic embroidery machine to put her logo on each mask sold. With the help of her son, deliveries will be made all over Gauteng within 3 days of placing the order. Every mask will have a unique three-layer design with adjustable straps to ensure comfort and fit. Mpho’s only expense is the material needed to sew the masks and delivery costs. At this stage, Mpho’s target market is limited to Gauteng. Question: Create a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flowof products/ services. What should be in the diagram: outputs, inputs, feedback, transformation process and flow of product and service ect.Justin is a carpenter and makes furniture which he sells via the internet. He needs a new machine with steel attachments to speed up the drilling process for his work. He contacts Fixing and Building Machines Ltd who recommends a machine which they claim is more than 10 times quicker and stronger than his old machine. Justin goes into Fixing and Building Machines Ltd. Before paying for the machine, he sees a sign on the wall behind the counter that has the words “Important Information: READ BEFORE PURCHASE! Fixing and Building Machines Ltd accepts no liability.....” in bold, red print at the top. However, the sign is falling down from the wall and the rest of the words are obscured by a large plant. Had Justin been able to read the rest of the sign, he would have read “....for loss howsoever caused.” Justin signs a document, buys this machine and takes it with him. When he tried it he found it to be no quicker than his old one and the attachments broke. He also found that it started…A new highway is to be constructed. Design A calls for a concrete pavement costing $80 per foot with a 20-year life; four paved ditches costing $3 per foot each; and two box culverts every mile, each costing $9,000 and having a 20-year life. Annual maintenance will cost $1,800 per mile; the culverts must be cleaned every five years at a cost of $350 each per mile. Design B calls for a bituminous pavement costing $55 per foot with a 10-year life; three sodded ditches costing $1.45 per foot each; and four pipe culverts every mile, each costing $2,100 and having a 10-year life. The replacement culverts will cost $2,350 each. Annual maintenance will cost $2,900 per mile; the culverts must be cleaned yearly at a cost of $215 each per mile; and the annual ditch maintenance will cost $1.35 per foot per ditch. Compare the two designs on the basis of equivalent worth per mile for a 20-year period. Find the most economical design on the basis of AW and PW if the MARR is 6% per…