A diabetic patient needs at least 40 units of Vit. A, at least 30 units of Vit. C, and at least 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? Solve using graphical method. Show complete solution.
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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 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? Solve using graphical method. Show complete solution.
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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?A producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…A producer has three products, A, B, and C, which are composed from many of the same raw materials and subassemblies by the same skilled workforce. Each unit of product A uses 15 units of Raw Material X, one Purge System Subassembly, one Case, one Power Cord, three Labour Hours in the Assembly Department, and one Labour Hour in the Finishing Department. Each unit of product B uses 10 units of Raw Material X, five units of Raw Material Y, two Purge System Subassemblies, one Case, one Power cord, five Labour Hours in the Assembly Department, and 90 minutes in the Finishing Department. Each unit of product C uses five units of Raw Material X, 25 units of Raw Material Y, two Purge System Subassemblies, one Case, a Power Cord, seven Labour Hours in the Assembly Department, and Three Labour Hours in the Finishing Department. Labour between the Assembly and Finishing departments is not transferable, but workers within each department work on any of the three products. There are three…
- Furniture Face Lift refinishes old wood furniture. Their process for refinishing chairs has 9 workers and 4 stations. Each chair starts at the Stripping station, then goes to Priming, then to Painting and finally to Inspection. Where there are multiple workers within a station, each worker works independently on his/her own chair. Assume inventory buffers are allowed between each station. Station Staffing Processing time (hours per chair per worker) Stripping 3 2.5 Priming 2 1.5 Painting 3 1.75 Inspection 1 0.8 A truck loaded with 10 chairs arrives. How many hours will it take them to complete these 10 chairs?(The accuracy should be of two digits after the decimal places.)A final assembly plant for a certain automobile model is to have a capacity of 240,000 units annually. The plant will operate 50 weeks/yr, two shifts/day, 5 days/week, and 8.0 hours/shift. It will be divided into three departments: (1) Body shop, (2) paint shop, (3) trim-chassis-final department. The body shop welds the car bodies using robots, and the paint shop coats the bodies. Both of these departments are highly automated. Trim-chassis-final has no automation. There are 15.5 hours of direct labor content on each car in this department, where cars are moved by a continuous conveyor. Determine: (a) Hourly production rate of the plant, (b) number of workers and workstations required in trim-chassis-final if no automated stations are used, the average manning level is 2.5, balancing efficiency = 93%, proportion uptime = 95%, and a repositioning time of 0.15 min is allowed for each worker.Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/40 of a day and 1/75 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $275 and $225, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. The optimum solution is: Number of trucks to be produced per day = nothing (round your response to two decimal places).
- FRUIT COMPUTER COMPANY Fruit Computer Company manufactures memory chips in batches of ten chips. From past experience, Fruit knows that 80% of all batches contain 10% (1 out of 10) defective chips, and 20% of all batches contain 50% (5 out of 10) defective chips. If a good (that is, 10% defective) batch of chips is sent to the next stage of production, processing costs of $4000 are incurred, and if a bad batch (50% defective) is sent on to the next stage of production, processing costs of $16000 are incurred. Fruit also has the alternative of reworking a batch at a cost of $4000. A reworked batch is sure to be a good batch. Alternatively, for a cost of $400, Fruit can test one chip from each batch in an attempt to determine whether the batch is defective. QUESTIONS 1.Determine a strategy so Fruit can minimize the expected total cost per batch. 2.Compute the EVSI and EVPI.Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. The optimum solution is: Number of trucks to be produced per day = ? (round your response to two decimal places).Green Vehicle Inc., manufactures electric cars and small delivery trucks. It has just opened a new factory where the C1 car and the T1 truck can both be manufactured. To make either vehicle, processing in the assembly shop and in the paint shop are required. It takes 1/25 of a day and 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/45 of a day to assemble either type of vehicle in the assembly shop. A T1 truck and a C1 car yield profits of $300 and $220, respectively, per vehicle sold. The aim of the objective function for Green Vehicle Inc. should be to Maximize the objective value. Part 2 The optimum solution is: Number of trucks to be produced per day = ? enter your response here
- A company makes four products that have the following characteristics:Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 ofmaterials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for$135 but needs $105 of materials to produce. The processing requirements for each product on each ofthe four machines are shown in the table. Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setuptime when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In thequestions that follow, the traditional method refers to maximizing the contribution margin per unit foreach product, and the bottleneck method refers to maximizing the contribution margin per minute at thebottleneck for each product. Each worker is paid $15 per hour and is paid for an entire week, regardlessof how much the worker is used. Using the bottleneck method,…A company makes four products that have the following characteristics:Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 ofmaterials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for$135 but needs $105 of materials to produce. The processing requirements for each product on each ofthe four machines are shown in the table. Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setuptime when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In thequestions that follow, the traditional method refers to maximizing the contribution margin per unit foreach product, and the bottleneck method refers to maximizing the contribution margin per minute at thebottleneck for each product. Each worker is paid $15 per hour and is paid for an entire week, regardlessof how much the worker is used. Using the traditional…A company makes four products that have the following characteristics:Product A sells for $75 but needs $40 of materials to produce; Product B sells for $90 but needs $65 ofmaterials to produce; Product C sells for $110 but needs $80 of materials to produce; Product D sells for$135 but needs $105 of materials to produce. The processing requirements for each product on each ofthe four machines are shown in the table. Work centers W, X, Y, and Z are available for 5 days per week, 1 shift per day (8 hrs.) and have no setuptime when switching between products. Market demand is 50 As, 60 Bs, 70 Cs, and 80 Ds per week. In thequestions that follow, the traditional method refers to maximizing the contribution margin per unit foreach product, and the bottleneck method refers to maximizing the contribution margin per minute at thebottleneck for each product. Each worker is paid $15 per hour and is paid for an entire week, regardlessof how much the worker is used. Using the bottleneck method,…