a. Develop, for each department and day, the capacity requirements for each product and the total load for each day. Ignore changeover time between A and B. Evaluate the projected loads for each day. (Round the final answers to 1 decimal place.)
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- The Baton Rouge Police Department has five detectivesquads available for assignment to five open crime cases. Thechief of detectives, Jose Noguera, wishes to assign the squads sothat the total time to conclude the cases is minimized. The averagenumber of days, based on past performance, for each squad tocomplete each case is as follows: Each squad is composed of different types of specialists, andwhereas one squad may be very effective in certain types of cases,it may be almost useless in others.a) Solve the problem by using the assignment method.b) Assign the squads to the above cases, but with the constraintthat squad 5 cannot work on case E because of a conflict.A manufacturing system is used to produce a product.Each unit of product must be processed sequentially through workstations.V -----> W -----> X -----> Y The capacity of each workstation are as follows:Workstation V, 24 units per hour,Workstation W, 16 units per hour, Workstation X, 32 units per hour,Workstation Y, 26 units per hour. The raw material is always available in the front of workstation V. The utilization rate of workstation X is ________ percent. Use at least 4 decimals.You must show your calculation steps and brief explanation on your Excel spreadsheets.A manufacturing system is used to produce a product.Each unit of product must be processed sequentially through workstations.V -----> W -----> X -----> Y The capacity of each workstation are as follows:Workstation V, 16 units per hour,Workstation W, 22 units per hour, Workstation X, 13 units per hour,Workstation Y, 18 units per hour. The raw material is always available in the front of workstation V. The manufacturing system has a cycle time of __________ minutes per unit. Use at least 4 decimals.You must show your calculation steps and brief explanation on your Excel spreadsheets.
- In a factory they have type A machines and type B machines. Last week maintenance was given to 5 type A machines and 4 type B machines at a cost of $3,405,000. The previous week, $3,135,000 was paid to maintain 3 type A machines and 5 type B machines. What is the maintenance cost of the machines of each type?Please formulate the problem as AN OPTIMIZATION MODEL only and I will finish the rest. Health Center is planning to open its facilities 24 hours a day and wants to determine an optimal schedule. for their nurses. A nurse's work schedule is 8 hours in a row and can only start at the beginning of each shift. The personnel requirement for each shift is shown in Table 1. Table 1 – Personnel RequirementShow your step-by-step process using the SPECIAL PURPOSE LINEAR PROGRAMMING: ASSIGNMENT METHOD to solve this problem. Four Engineers are to work on 4 projects of Dora Company. The problem is to decide which engineer should be assigned to which project. Each engineer charges different fees on each project, due to distances of the projects and the complexity of the work. The cost of assigning particular engineers to particular projects are as stated below. The objective is to find the lease cost of assignment. Engineer 1 to Projects A, B, C, D = $11k, $8k, $10k, $7k respectively.Engineer 2 to Projects A, B, C, D = $6k, $5k, $3k, $8k respectively.Engineer 3 to Projects A, B, C, D = $4k, $8k, $10k, $9k respectively.Engineer 4 to Projects A, B, C, D = $11k, $10k, $5k, $7k respectively.
- Baking dog treats in her kitchen has been a simple process for Emma to manage. She has two ovens, one sink, a refrigerator, and enough room for two people to work at the same time. However, when Emma moves her business out of her home, she will have a commercial kitchen that can accommodate as many as six people working simultaneously. She had never thought of her business as “production” until the real estate agent who showed her the space asked how many production workers she needs to accommodate. At that point, Emma realized she would be running a production system. Even worse, she realized that she had never even visited a manufacturing facility or set foot on a real production floor. How will she ever manage this process?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
- SOLVE THE FOLLOWING ASSIGNMENT PROBLEM:There are 7 work teams, the same ones that must carry out 6 jobs. The time in days that each piece of equipment takes on each job is shown in the following table:Table!!! Assign jobs to teams so that the total sum of days is minimal. Indicate what this minimum amount is.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).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 1/60 of a day to paint a truck of type T1 and a car of type C1 in the paint shop, respectively. It takes 1/50 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. a) Define the objective function and constraint equations. b) Graph the feasible region. c) What is a maximum-profit daily production plan at the new factory? d) How much profit will such a plan yield, assuming whatever is produced is sold?