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- A manufacturing firm has three plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (25) Customer 2 (50) Customer 3 (125) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the minimum total cost to meet all customer requirements?. The Newcoat Painting Company has for some time been experiencing high demand for its automobile repainting service. Because it has had to turn away business, management is concerned that the limited space available to store cars awaiting painting has cost them in lost revenue. A small vacant lot next to the painting facility has recently been made available for rental on a long-term basis at a cost of $10 per day. Management believes that each lost customer costs $20 in profit. Current demand is estimated to be 21 cars per day with exponential interarrival times (including those turned away), and the facility can service at an exponential rate of 24 cars per day. Cars are processed on a FCFS basis. Waiting space is now limited to 9 cars but can be increased to 20 cars with the lease of the vacant lot.Newcoat wants to determine whether the vacant lot should be leased. Management also wants to know the expected daily lost profit due to turning away customers if the lot is leased. Only…A steel production plant manufactures bands and coils which sell at a profit of $25 and $30 per ton,respectively. The production rate of the plant for bands is 200 tons/hr, and that for coils is 140 tons/hr.Based on the market analysis, it has been identified that the weekly demand is at most 6000 tons and4000 tons for bands and coils, respectively . The plant operates for a maximum of 40 hours per week. 1. In Microsoft Excel, formulate a linear programming model instance for this problem, then solve. 2. Assume that the products need to be painted after manufacturing, and the painting departmentcan paint at a rate of 600 tons per hour for bands and 400 tons per hour for coils. The paintingdepartment works only for 20 hours. Update the linear programming model instance to accom-modate this requirement, and re-solve the problem. 3. The plant is planning to introduce another product “rods” to its production mix with the followingparameters:•Profit/ton = $40•Production volume = 150…
- A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (125) Customer 2 (150) Customer 3 (175) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 D (250) $ 21 $ 15 $ 28 $ 12 How many arcs will the network have?A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (125) Customer 2 (150) Customer 3 (175) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 D (250) $ 21 $ 15 $ 28 $ 12 How many supply nodes are present in this problem? Multiple Choice: 4 3 1 8 16A manufacturing firm has four plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below: Customer (requirement) Factory (capacity) Customer 1 (125) Customer 2 (150) Customer 3 (175) Customer 4 (75) A (100) $ 15 $ 10 $ 20 $ 17 B (75) $ 20 $ 12 $ 19 $ 20 C (100) $ 22 $ 20 $ 25 $ 14 D (250) $ 21 $ 15 $ 28 $ 12 Note: This question requires Solver.Formulate the problem in Solver and find the optimal solution. What is the optimal quantity to ship from Factory B to Customer 3? Multiple Choice 25 units 50 units 75 units 100 units 125 units
- A recruiter for a job placement agency is considering whether to pay $50,000 per year to lease a new recruiting facility in a prime location in Washington D. C. He estimates it will cost $50 per recruit to process the paperwork at this new location. He receives a $75 commission for each new recruit he processes. Part A - If the office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and 6,000 recruits will be processed per year, what will be the utilization of the office space?Part B - If his office space at this new location has design and effective capacities of 10,000 and 8,000 recruits processed annually, respectively, and he plans to be 90% efficient in his use of this space, how many recruits does he plan to process per year?usinessman must decide whether to open a new mini grocery branch or simply extend the number of hours of its operation on its existing branch with a payoff of P 150,000. According to his friend, demand at the new location can either be low or high, which the probabilities are estimated to be 35% and 65%, respectively. If a new branch is opened and demand proves to be low, there is no need to operate on a 24-hr basis but instead, they will stick to 12-hrs operation with a payoff of P 100,000 or enhance marketing strategy through advertising. Projected response to advertising may either be favorable or not favorable, with estimated probabilities of 40% and 60%, respectively. If demand is favorable, the payoff grows to P 310,000 and if response is unfavorable, the payoff is P 120,000. The cost of advertising is P45,000. Required: a. Draw a decision treeb. Determine the expected value for each decision and event nodes.c. Which alternative is the best for the businessman?Galaxy Candy Company manufactures two popular candy bars, the Eclipse bar and the Nova bar. Both candy bars go through a mixing operation where the various ingredients are combined, and the Coating Department where the bars from the Mixing Department are coated with chocolate. The Eclipse bar is coated with both white and dark chocolate to produce a swirled effect. A material shortage of an ingredient in the Nova bar limitsproduction to 300 batches per hour. Production and sales data are presented in the following table. Mixing CoatingAvailable capacity in hours 525 500Use of capacity in hours per batch of product: Eclipse 1.5 2.0 Nova…
- Travel Time Each Way Price of a Dress (Minutes) (Dollars per dress) Store 15 102 Local Department Store 30 85 Across Town Neighboring City 60 76 Juanita makes $42 an hour at work. She has to take time off work to purchase her dress, so each hour away from work costs her $42 in lost income. Assume that returning to work takes Juanita the same amount of time as getting to a store and that it takes her 30 minutes to shop. As you answer the following questions, ignore the cost of gasoline and depreciation of her car when traveling. Complete the following table by computing the opportunity cost of Juanita's time and the total cost of shopping at each location. Opportunity Cost of Time Price of a Dress Total Cost (Dollars) (Dollars per dress) (Dollars) Store 102 Local Department Store 85 Across Town 76 Neighboring City Assume that Juanita takes opportunity costs and the price of the dress into consideration when she shops. Juanita will minimize the cost of the dress if she buys it from the…Current total inventory level of a company (Ip) is 5,000 units, which are held at 4 different facilities (nE). Next year, the company plans to open 5 new facilities. Provide an estimate on the total future inventory level (IF) for the company. 27 11,250 units 4,472 units 7,500 units 8,944 units 5,590 unitsFood Goblin Supermarkets use both cashiers and baggers toserve customers at check out. During the first 6 hours of eachworkday (Monday–Friday), 4 cashiers and 2 baggers serveapproximately 20 customers per hour. A cashier and a baggerwho require approximately 5 minutes at checkout and 5 min-utes at bagging serve each customer.a. Calculate the utilization of both cashiers and baggers.b. Assume that both baggers and cashiers are cross-trainedto perform both activities so that they can serve customersindependently. Customers are now both checked andtheir groceries bagged by one individual. Further, assumethat it takes 12 minutes for one individual to both cash outand bag each customer’s groceries. Calculate the utiliza-tion of this new group of 6 cross-trained employees.