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?
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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?
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- 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.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.)EU Company manufactures two different types of life vests (A and B) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process (see Figure 1). Batch setup times are negligible. The flowchart denotes the path each product follows through the manufacturing process, and each product’s price, demand per week, and processing times per unit are indicated as well. Purchased parts and raw materials consumed during production are represented by inverted triangles. EU can make and sell up to the limit of its demand per week; no penalties are incurred for not being able to meet all the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone and is paid $6 per hour for an entire week, regardless of how much the worker is used. Total labor costs per week are fixed. Variable overhead costs are $1,500/week. The plant operates one 8-hour shift per day, or 40 hours/week. Which of the three workstations, W,…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,…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. Question: 1. Which Process…
- 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,…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).A production line is a set of sequential operations established in a factory plant where components are assembled to make a finished product or where materials are put through a refining process to produce an end-product that is suitable for onward consumption. Ford have seven production lines in their manufacturing plant for their automotive parts where each production line produces 120, 100, 80, 116, 77, 94, 112 output per day. (a) As the Production Manager at Ford, you are required to submit the daily report of the production plant. Calculate the mean, median, and mode from the data based on the output that has been provided. (b) Also calculate the three critical parameters for measuring spread in the following ways: Range Variance Standard Deviation