A local bank has generated the following metrics: an arrival rate of 18 customers per hour with a service time of 3 minutes per customer, and wait times Wq = 0.45 hours for s = 1, Wq = 0.0127 hours for s = 2, and Wq = 0.0017 hours for s = 3. The goal is to solve the following argument: argmin $7s + $49Lq. What is the optimal service level?
Q: Butternut is a ski resort in Massachusetts.One of their triple chair lifts unloads 1296 skiers per…
A: Follwoing information is given: Unloading the triple chair lift = 1296skiers Bottom time = 5…
Q: The manager of a regional warehouse must decide on the number of loading docks to request fora new…
A: Note: Lq is determined using table of infinite sources values.
Q: Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the…
A: Formula:
Q: snip
A: Given, Machine A costs $20,000 to clean carpets to residential standards. Machine B costs $50,000 to…
Q: A toy factory in Temuco currently assembles three types of toys within its production line: trains,…
A: Decision Variable: Suppose-X be the units of toy type train assemblesY be the units of toy type…
Q: The daily production process at a soda bottling company produces regular orange-flavored (x1 ),…
A: Decision Variables: Suppose-X1 be the no. of regular orange drink bottles to be producedX2 be the…
Q: A brewery produces regular beer and a lower-carbohydrate Tight beer. Steady customers of the brewery…
A: R = units of regular beer L= units of light beer Minimize C = 32000 R + 60000 L…
Q: A trucking firm must decide at the beginning of the year on the size of its trucking fleet. If on a…
A: Trucking companies operating various trucks simultaneously in various country directions forms an…
Q: 4 Goldilocks needs to find at least 12 lb of gold and at least 18 lb of silver to pay the monthly…
A: Let ‘x’ be time spent on Mine 1. Let ‘y be time spent on Mine 2.
Q: HMO has 40 doctors to be apportioned among four clinics. The HMO decides to apportion the doctors…
A: Given data, Clinic A B C D Average Weekly Patient Load 275 392 611 724
Q: The small mail-order firm Sea’s Beginning has onephone line. An average of 60 people per hour call…
A: Customer service is a standard for customer satisfaction, which is the planning of every retailer to…
Q: Mark Sumansky owns and manages the Grass, Unlimited, Lawn-care service in Middleton. His customers…
A: Given-
Q: JI. Julia's Food Booth Julia Robertson is a senior at Tech, and she's investigating different ways…
A: The purpose of an introduction in a case study analysis is to provide the reader with an overview of…
Q: Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 1296 skiers per…
A: Given information Unloading the triple chair lift = 1296skiers Bottom time = 5 minutes Passenger…
Q: Tech, with a student population of 30,000, is located in a small college town in Virginia.…
A: City Representation Richmond R Charlotte C Atlanta A Greensboro G DC DC Nashville N…
Q: BNQ Bank operates a network of automated teller machines (ATMs). Cash withdrawals at an ATM average…
A: Economic order quantity: It refers to the fixed order quantity that minimizes the total ordering…
Q: A linear programming computer package is needed. Kilgore's Deli is a small delicatessen located near…
A: Note: - Since we can answer only up to three subparts we will answer the first three subparts(a, b,…
Q: A furniture company manufactures desks and chairs. The sawing department cuts the lumber for both…
A: Let us consider the maximum profit, Z is possible when the quantity of chair is “X” and quantity of…
Q: The Bayside Art Gallery is considering installing a video camera security system to reduce its…
A: Formulastion of LP: Objective Function: z(min) =…
Q: A telephone-order sales company must determine how many telephone operators are needed to staff the…
A: λ= Mean arrival rate= 480 Service Time= 6 minute.
Q: Four doctors work in a hospital emergency room thathandles three types of patients. The time a…
A: Given data, Doctors = 4 Types of Patient = 3 Mean Time =15 The average number of arrivals per…
Q: A steel production plant manufactures bands and coils which sell at a profit of $25 and $30 per ton,…
A: In the question, for each case, we would first formulate the LP, then, we would solve this LP with…
Q: 15. Hyatt Company makes two products, X and Y. Their contribution margins are P 50 and P 90,…
A: Given Information:
Q: Operations Research True or False. Little’s Law states that a relationship exists between line…
A: Answer: - False Reason: - Little's law can be applied to any relationship, little's law is not…
Q: The Decision Sciences Department is tyring to determine whether to rent a slow or fast copier. The…
A: The following information is given to us for the two copiers, fast and slow. Slow Copier - Rent is…
Q: A company produces three products, A, B, and C. The sales volume for A is at least 50% of the total…
A: This is a maximization problem. The LP formulation is as follows: Maximize Z = 20A + 50B + 35C…
Q: 2. A computed utility function for a travel in a medium-sized city by automobile, bus and light rail…
A: Given:- U = a - 0.002X - 0.05Y Where, X = Cost of travel (php) Y = Travel Time (minutes)…
Q: Please develop a linear programming model for the problem. b. Find the optimal solution via Excel.…
A: Let x and y be the time allocated to regular customers and new customers respectively. Objective…
Q: The following information pertains to telephone calls to a motel switchboard on a typical…
A:
Q: 3. Five administrative assistants use an office copier. The average time between arrivals for each…
A:
Q: TopOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains…
A: Economic order quantity (EOQ):It is the absolute order quantity an organization should purchase to…
Q: A bank is trying to determine which of two machines to rent for check processing. Machine 1 rents…
A: FOR MACHINE 1: Let us consider the M/M/1/GD/∞/∞ Queuing System for Machine 1. Then we have Arrival…
Q: the excel file president’s inn guest database provides a list of customers, rooms they occupied,…
A: In the first part, we determine the extra per mean. The first-person meal is included within the…
Q: Lauren Moore has sold her business for $500,000 and wants to invest in condominium units (which she…
A: The proposed mixed-integer programming model can be straightforwardly addressed by the blended…
Q: Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny turtle.…
A: Goals Description Rank Wt Goal 1 Minimize overutilization of plastic 2 0.364 Goal 2 Minimize…
Q: Four automobiles have entered Ilham’s Repair Shop for various types of work, ranging from a…
A: The assignment problem refers to an optimization problem. Here, there are various tasks that need to…
Q: BMW produces three different types of wheels – 17-inch, 18-inch, and 19-inch – in its manufacturing…
A: Given data: Wheel Demand (units/day) Production cost ($/unit) Reconfiguration cost ($) 17-inch…
Q: A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each…
A:
Q: How many units of cabinet should the company produce to maximize the profit
A: Identifying the production combination which maximize the profit indicating the problem development…
Q: opOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains…
A: Given that: Truckload cost = $800 Cost per stop (S) = $250 .....same for all Cost per ton(C) =…
Q: Nicholas is the facilities manager for Green Market Groceries. The store is remodeling and wants to…
A: Find the Given details below: Given Details: Alaskan Seal BRR Frost Cold Case Deep Freeze…
Q: (Linear Objective Function and Optimization Application) On a special occasion, renowned electronic…
A: x-number of televisions (TVs) that made a profit on the sale of each SONY TVs y-number of…
Q: An IP address is divided into 2 parts: one for the network ID and one for the computer (host) number…
A: This is true /False question, question has asked about whether an IP address can be divided into two…
Q: Suppose the total flow into a node of a network isrestricted to 10 units or less. How can we…
A: The network nodes include the network establishing the receiving and communicating the information.…
Q: Under ideal conditions, a service bay at a FastLube can serve 6 cars per hour. The effective…
A: Calculate the expected production of cars per service bay, given the effective capacity of a bay as…
Q: opOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains…
A: Large customer Medium customer Small customer Demand per year 60 24 8 Order cost 800 800 800…
Q: Consider an E2/M/1/4 model with the arrival rate of 3 jobs per hour and a service rate of 4 jobs per…
A:
Q: In a service facility, a manager wants to find “Optimal Service Level” by employing a trade-off…
A: Managers are the one who manages the operation and other stages of making a product or services.…
A local bank has generated the following metrics: an arrival rate of 18 customers per hour with a service time of 3 minutes per customer, and wait times Wq = 0.45 hours for s = 1, Wq = 0.0127 hours for s = 2, and Wq = 0.0017 hours for s = 3. The goal is to solve the following argument: argmin $7s + $49Lq. What is the optimal service level?
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
- opOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains consignment inventory (owned by TopOil) at each location. Currently, TopOil uses TL transportation to deliver separately to each customer. Each truck costs $800 plus $250 per stop. Thus delivering to each customer separately costs $1050 per truck. TopOil is considering aggregating deliveries to Nashville on a single truck. Demand at the large customer is 60 tons per year, demand at the medium customer is 24 tons per year, and demand at the small customer is 8 tons per year. Product cost for TopOil is $10,000 per ton and they are using a holding cost of 25 percent. Truck capacity is 12 tons. What is the optimal order quantity to each customer assuming TopOil develops a tailored aggregation policy?A catering company must have the following number of clean napkins available at the beginning of each of the next four days: day 1: 15, day 2: 12, day 3: 18, and day 4: 6. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. Fast service costs $0.10 per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs $0.06 per napkin, and a napkin cleaned via slow service is available two days after they were last used. New napkins can be purchased for a cost of $0.20 per napkin. Part A: Formulate the problem as a minimum cost transportation problem.A catering company must have the following number of clean napkins available at the beginning of each of the next four days: day 1: 15, day 2: 12, day 3: 18, and day 4: 6. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. Fast service costs $0.10 per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs $0.06 per napkin, and a napkin cleaned via slow service is available two days after they were last used. New napkins can be purchased for a cost of $0.20 per napkin. Part A: Formulate the problem as a minimum cost transportation problem. Part B: Solve the problem (provide exact values for all variables and the optimal objective function).
- Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 8 cashiers and 6 baggers serve approximately 75 customers per hour. On average, a cashier spends 6 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer. Calculate the utilization of cashiers and their capacity cushion during a peak hour. Calculate the utilization of baggers and their capacity cushion during a peak hour. Calculate the overall average utilization of cashiers and baggers during a peak hour.TopOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains consignment inventory (owned by TopOil) at each location. Currently, TopOil uses TL transportation to deliver separately to each customer. Each truck costs $800 plus $250 per stop. Thus delivering to each customer separately costs $1050 per truck. TopOil is considering aggregating deliveries to Nashville on a single truck. Demand at the large customer is 60 tons per year, demand at the medium customer is 24 tons per year, and demand at the small customer is 8 tons per year. Product cost for TopOil is $10,000 per ton and they are using a holding cost of 25 percent. Truck capacity is 12 tons. What is the optimal order quantity to each customer assuming TopOil aggregates shipments to each of the three customers on every truck that goes to Nashville?TopOil, a refiner in Indiana, serves three customers near Nashville, Tennessee and maintains consignment inventory (owned by TopOil) at each location. Currently, TopOil uses TL transportation to deliver separately to each customer. Each truck costs $800 plus $250 per stop. Thus delivering to each customer separately costs $1050 per truck. TopOil is considering aggregating deliveries to Nashville on a single truck. Demand at the large customer is 60 tons per year, demand at the medium customer is 24 tons per year, and demand at the small customer is 8 tons per year. Product cost for TopOil is $10,000 per ton and they are using a holding cost of 25 percent. Truck capacity is 12 tons. a) What is the annual transportation and holding cost if TopOil ships a full truckoad each time a customer is running out of stock? How many days of inventory is carried at each customer under this policy.
- . A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(759) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of (24)%. The truck capacity is 20 tons. a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost? b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total inventory-related cost?…Jim Jones manufactures inexpensive set-it-up-yourself furniture for students. He currently makes two products – bookcases and tables. Each bookcase contributes $24 to profit, and each table, $20. Each product passes through two manufacturing points, cutting and finishing. Bookcases take 4 hours a unit in cutting and 4 hours in finishing. Tables require 3 hours a unit in cutting and 5 in finishing. There are currently 40 hours available in cutting and 50 in finishing. Determine the optimum solution. Use graphic linear programming to find the product mix that produces the maximum profit for Jim.The manager of a regional warehouse must decide on the number of loading docks to request fora new facility in order to minimize the sum of dock costs and driver-truck costs. The manager haslearned that each driver-truck combination represents a cost of $300 per day and that each dockplus loading crew represents a cost of $1,100 per day.a. How many docks should be requested if trucks arrive at the rate of three per day, each dockcan handle five trucks per day, and both rates are Poisson?
- The director of Burtonsville Civil Defense Agency has been ordered to draw up a disaster plan for assigning casualties to hospitals in the event of a serious earthquake. For simplicity, we will assume that causalities will occur at two points in the city and will be transported to three hospitals. It is estimated that there will be 300 casualties at point A and 200 at point B. Travel times to hospitals 1, 2, and 3 are 25, 15, and 10 minutes, respectively; from point B they are 20, 5, and 15 minutes. Hospital capacities for emergency cases are 250, 150, and 150 patients. How should the victims be assigned to hospitals to minimize the total time lost in transporting them? Disaster Point Hospital Total Casualties 1 2 3 A 25 15 10 300 B 20 5 15 200 Maximum Capacity 250 150 150 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You…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 car wash offers two different types of wash services, deluxe wash and standard wash. The deluxe wash require(s) three steps: pre-wash, wash and dry. The standard wash only require(s) two steps: wash and dry. The pre-wash step has a capacity of 7 cars per hour. The wash step has a capacity of 11 cars per hour. The dry step has a capacity of 10 cars per hour. The demand for deluxe wash is 7 cars per hour and the demand for standard wash is 11 cars per hour. Instruction: Round to the nearest integer percentage. What is the implied utilization of the bottleneck resource?