Routing 1 uses drying press A, and routing 2 uses drying press B. Both routings require the same mixing to blend chemicals for the dye before drying. The following table shows the time requirements and capacities of these processes: Routing 1 Process Mixing Dryer A Dryer B 0 8 Each kilogram of dye processed on routing 1 uses 20 titers of chemicals, whereas each kilogram of dye processed on routing 2 uses only 15 liters. The difference results from differing yield rates of the drying presses. Consequently, the profit per kilogram processed on routing 1 is $50 and on routing 2 Is $65. A total of 450 liters of input chemicals is available. 1. Write the constraints and objective function to maximize profits. 2. Use the graphic method of linear programming to find the optimal solution. 2 Time requirements (hr/kg) Routing 2 6 Capacity (hr) 2 0 54 120 180
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- 4.Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…3.Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…Define Vehicle routing problem (VRP). Explain its complications and variants. Define four different real-life problems that can be formulated as VRP. Explain their properties based on VRP variations.
- WhatYouNeed is an online retailer with operations in Northern Indiana. Their network includes five big warehouses. All of the warehouses are fully automated: packaging is performed by robots on top of electric conveyors. Although the company has saved a lot in labor costs by the use of this packaging line, it has resulted in some excessive waste of material. After some analysis of this waste issue, the company has discovered that the number of product types that are assigned to the packaging line is strongly correlated with the amount of wasted material. Based on this insight, their operations manager has built a mathematical expression that estimates the expected amount of waste from the packaging line as a function of the number of product types in it. The expression is as follows: W = (n-93)2 – (n-88) + 227 In this expression, n is the number of product types you are packing on the line and W is the hourly waste of packaging material (in lbs). Based on this expression, what is the…WhatYouNeed is an online retailer with operations in Northern Indiana. Their network includes five big warehouses. All of the warehouses are fully automated: packaging is performed by robots on top of electric conveyors. Although the company has saved a lot in labor costs by the use of this packaging line, it has resulted in some excessive waste of material. After some analysis of this waste issue, the company has discovered that the number of product types that are assigned to the packaging line is strongly correlated with the amount of wasted material. Based on this insight, their operations manager has built a mathematical expression that estimates the expected amount of waste from the packaging line as a function of the number of product types in it. The expression is as follows: W = (n-93)2 – (n-88) + 227 In this expression, n is the number of product types you are packing on the line and W is the hourly waste of packaging material (in lbs). Based on this expression, how much will…I ONLY NEED NUMBER 4 LETTERS A-C 3. Sharp Discounts Wholesale Club has two service desks, one at each entrance of the store. Customers arrive at each service desk at an average of one every six minutes. The service rate at each service desk is four minutes per customer. 4. Sharp Discounts Wholesale Club is considering consolidating its two service desks (see Problem 3) into one location, staffed by two clerks. The clerks will continue to work at the same individual speed of four minutes per customer. a. What is the probability of waiting in line? b. How many customers, on average, are waiting in line? c. How much time does a customer spend at the service desk (waiting plus service time)? d. Do you think the Sharp Discounts Wholesale Club should consolidate the service desks?
- How do standard circular flow and expanded circular flow differ?Panini, a popular sandwich shop, offers 3 types of sandwiches: grilled vegetables, grilled chicken, and pastrami. The table below provides demand data: Grilled Vegetables Grilled Chicken Pastrami Demand per hour 25 9 12 There are up to five steps in the process of making sandwiches listed below with activity times (if no activity time, then than step is not done for that sandwich). Only 50% of customers want their sandwich toasted, no matter which sandwich is ordered. Step Grilled Vegetables(in minutes) Grilled Chicken(in minutes) Pastrami(in minutes) Cut bread 1 1 1 Grill 1.2 1.2 Slice meat 2 Toast 1.2 1.2 1.2 Wrap 0.8 0.8 0.8 Suppose Panini employs 1 worker at each step. a) Does Panini have enough capacity to fulfill the current demand for sandwiches? (b) What is the current capacity cushion for Panini? (as a %) c) If demand for Pastramis increase with the percentage indicated below, how much additional workers should Panini hire (if any), and where…Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…
- Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…Silicon Valley Transport Commission (SVTC) has a fleet of maintenance vehicles that includes cars, vans, and trucks. SVTC is currently evaluating four different approaches to help them maintain their fleet of cars and vans efficiently at the lowest possible cost. Their options are: (1) No preventive maintenance at all and repair vehicle components when they fail; (2) Take oil samples at regular intervals and perform whatever preventive maintenance is indicated by the oil analysis; (3) Perform an oil change on a regular basis on each vehicle and perform repairs when needed; (4) perform oil changes at regular intervals, take oil samples regularly, and perform maintenance repairs as indicated by the sample analysis. Option #1 costs nothing to implement and results in two possible outcomes: There is a .10 probability that a defective component will occur, requiring emergency maintenance at a cost of $1,200, or there is a chance that no defects will occur and no maintenance will be…