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 S0.20 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).
Q: Suzuki Robotics (SR) manufactures two lightweight robots designed for easier house-cleaning. The…
A: The model is formulated and solved in Excel as shown below.
Q: Show your step-by-step process using THE SPECIAL PURPOSE LINEAR PROGRAMMING: MODI TRANSPORTATION…
A: TOTAL number of supply constraints : 3TOTAL number of demand constraints : 3Problem Table is :…
Q: Minimum Number of Consultants Required to Be on Duty Time of Day 8 AM-noon Noon-4 PM 4 PM-8 PM 8 12…
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Write a system of inequalities that describes the constraints on the number of each type of animal…
A: Linear programming is a mathematical technique to reach the best outcome like maximum profit or…
Q: Kara wants to open a retailing outlet in her town. Her family has been in the business of selling…
A: Disclaimer: Since you have asked multiple question, so as per company policy, we will solve the…
Q: You have a new job as a Financial Planning assistant. Your client wants to invest money in stocks,…
A: Assume that amount to be invested in Stocks as x1, x2 for bonds and x3 for treasuries Now, the…
Q: Hilo Backpackers is a retail catalog store in Hilo that specializes in outdoor clothing and camping…
A: Decision Variables, Let P and T represent the number of permanent and temporary workers to be…
Q: A studio that makes statues is trying to maximize its profit. Their two primary products are the…
A: Given data is Profit by liberty statutes = $90 Profit by colossus statues = $99 Machine time…
Q: Goldilocks needs to find at least 12 lb. of gold and at least 18 lb. of silver to pay the monthly…
A: Let; x1 be the number of days spent in mine 1 x2 be the number of days spent in mine 2.
Q: A call center employs 1,425 agents. Every month 57 employees leave the company and 57 new employees…
A:
Q: XYZ Corporation operates two plants, each of which has a capacity of 110 units per day. Each day,…
A: [A] Units should ship Customer A Customer B Customer C Customer D Plant1 20 0 0 90 Plant 2…
Q: he Floataway Tours has $420,000 that may be used to purchase new rental boats for hire during the…
A: Given, Boat Builder Cost Max Seating Expected Daily profit speed hawk sleek boat $6000 3 $70…
Q: Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed to…
A: Since You have submitted a question with multiple subparts, as per guideline I have answered the…
Q: Mark Sumansky owns and manages the Grass, Unlimited, Lawn-care service in Middleton. His customers…
A: Given-
Q: XYZ Corporation operates two plants, each of which has a capacity of 180 units per day. Each day,…
A: Optimization modeling It is a branch of mathematics that aims to find the best solution to a…
Q: Creative Robotics (CR) manufactures two lightweight robots designed for easier house-cleaning. The…
A: A1 = Number of units of Alpha one model A2 = Number of units of Alpha two model
Q: Federated Oil has refineries in Los Angeles and Chicago. The Los Angeles refinery can refine up to…
A: Given information Cost Los Angeles = $120,000 Chicago Refinery = $150,000 Barrels = 5 Millions…
Q: Astro Winter LLC makes snowplowing equipment. The company buys the engines from a 3rd party vendor –…
A: Please find the attached answer in step 2
Q: Find the number of each that should be baked in order to maximize gross income if: A loaf of bread…
A: Objective: Finding the number of each product namely bread and cake to maximize gross income.…
Q: a company possesses two manufacturing plants, each of which can produce three products: X,Y, and Z…
A: Let x1 be the number of hours of plant A in use.x2 be the number of hours of plant B in use.
Q: operate, and it can produce 400 barrels of high-grade oil, 300 barrels of medium-grade oil, and 200…
A: Below is the solution:-
Q: XYZ Corporation operates two plants, each of which has a capacity of 170 units per day. Each day,…
A: [A] Customer A Customer B Customer C Customer D Plant 1 12 12 12 134…
Q: TechConsult Projects Ltd provides technical services to various small businesses in the San Antonio…
A: Ti = Technicians Ci = Clients
Q: The Copperfield Mining Company owns two mines,which produce three grades of ore: high, medium,…
A: Decision Variable: Suppose-x1 be the no. of hours to operate the mine-1x2 be the no. of hours to…
Q: a) Formulate the problem as a linear program. b) Solve using the corner-point method (graphical…
A: Solution a) The objective function is to maximize the contribution. Let X1 be the number of acre on…
Q: A software support company has the following minimum personnel requirements “on duty” during the…
A: The particulars job and equipment assigned with the start and completion times are known as…
Q: Metro Food Services Company delivers fresh sandwiches each morning to vending machines throughout…
A: Let the no. of ham and cheese, bologna and chicken sandwich made and sold be: "x", "y", "z"…
Q: A diet is being prepared for the University of Arizona dorms. The objective is to feed the students…
A: a) Following are the objective function and constraints of the problem: Let X be the number of…
Q: A catering company must have the following number of clean napkins available at the beginning of…
A: Given, Minimum Cost = 6.66 Day 1: 15 Buy Day 2: 3 Buy, 9 Fast Service Day 3: 12 Fast Service, 6 Slow…
Q: Weenies and Buns is a food processing plant which manufactures hot dogs and hot dog buns. They grind…
A: a) Let assume number of hot dogs 'x' and number of hot dog buns be 'y' Each hot dog bun required 0.1…
Q: Angela manages a store that sells speakers. Each Boomer takes 38 hours to create the plastic pie…
A:
Q: A diet is being prepared for the University of Arizona dorms. The objective is to feed the students…
A: a)Solve the problem:
Q: You are working for Advance Technology, a company that produces three different devices for the…
A: Given: In the Croswell facility Main-bus Servo Modules = 8Secondary Trigger Activators= 4 Guidance…
Q: XYZ Corporation operates two plants, each of which has a capacity of 140 units per day. Each day,…
A: Customer A Customer B Customer C Customer D Capacity Plant A 12 18 21 10 140 Plant B 16 14 18…
Q: Minimize over-utilization of the weekly available supply of materials used in making the toys and…
A: The company manufactures, three types of toys. further, the raw materials used in manufacturing, are…
Q: A company makes two products, X and Y, using two machines, 1 and 2. Each unit of X that is produced…
A:
Q: Formulate and then solve a linear programming model of this problem, to determine how manycontainers…
A: Given Information: Orange Juice Grapefruit Juice Pineapple juice All-in-one Retail…
Q: Chaka Furniture Shop located in Cavite makes two kinds of products, cabinets and dressers, which…
A: Note: - Since we can answer only up to three subparts we will answer the first three subparts(a, b,…
Q: A company makes two types of sofas, regular and long, at two locations, one in Msamvu and one in…
A: Below is the solution:-
Q: Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8…
A:
Q: Northwoods Backpackers is a retail catalog store in Vermont that specializes in outdoor clothing and…
A: In linear programming, there are only two ways i.e. to reduce cost which is known as minimization…
Q: A wood products firm uses leftover time at the end of each week to make goods for stock. Currently,…
A: The linear programming model is shown below: Board = x, holder = y Objective function:
Q: Formulate an optimization model for this problem. b) Solve the optimization model using either the…
A: Let Xjk be the binary integer such that Xjk=1 When the Employee-j is working during Hour-k for…
Q: An electronics discount chain has a sale on a certain brand of 60-in. high-definition television…
A: Let x1 be the number of TV sets to be shipped from the warehouse of long Beach to Santa Monica. x2…
Q: A catering company must have the following number of clean napkins available at the beginning of…
A: Minimum Cost = 6.66 Day 1: 15 Buy Day 2: 3 Buy, 9 Fast Service Day 3: 12 Fast Service, 6 Slow…
Q: Jack is the quality manager of Shearwater Systems. Shearwater and maintenance services to homeowners…
A: The various options to give access to the technicians are as follows: Advantages - Smartphones…
Q: he Tiny Toy Company makes three types of new toys: the tiny tank, the tiny truck, and the tiny…
A:
Q: A toy company makes stuffed animals. Their biggest sellers are their bunny (b) and dog (d)…
A: Objective Functions and Constraints: Based on the given details, the objective…
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
- Seas Beginning sells clothing by mail order. An important question is when to strike a customer from the companys mailing list. At present, the company strikes a customer from its mailing list if a customer fails to order from six consecutive catalogs. The company wants to know whether striking a customer from its list after a customer fails to order from four consecutive catalogs results in a higher profit per customer. The following data are available: If a customer placed an order the last time she received a catalog, then there is a 20% chance she will order from the next catalog. If a customer last placed an order one catalog ago, there is a 16% chance she will order from the next catalog she receives. If a customer last placed an order two catalogs ago, there is a 12% chance she will order from the next catalog she receives. If a customer last placed an order three catalogs ago, there is an 8% chance she will order from the next catalog she receives. If a customer last placed an order four catalogs ago, there is a 4% chance she will order from the next catalog she receives. If a customer last placed an order five catalogs ago, there is a 2% chance she will order from the next catalog she receives. It costs 2 to send a catalog, and the average profit per order is 30. Assume a customer has just placed an order. To maximize expected profit per customer, would Seas Beginning make more money canceling such a customer after six nonorders or four nonorders?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).
- 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?PepsiCo sells its soft drinks in approximately 400,000 retail establishments, such as supermarkets, discount stores, and convenience stores. Sales representatives call on each retail account weekly, which means each account is called on by a sales rep 52 times per year. The average length of a sales call is 75 minutes (or 1.25 hours). An average salesperson works 2,000 hours per year (50 weeks per year * 40 hours perweek), but each spends 10 hours a week on nonselling activities, such as administrative tasks and travel. How many salespeople does PepsiCo need?Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?
- At a manufacturing assembly line, 30 jobs arrive perhour. Each job must pass through two production stages:stage 1 and stage 2. Stage 1 takes an average of 1 minute tocomplete, and 1 worker is available to perform stage 1.After completing stage 1, the job immediately passes tostage 2. Stage 2 takes an average of 2 minutes to complete,and 2 workers are available to work on stage 2. Aftercompleting stage 2, each job is inspected. Inspection takesan average of 3 minutes, and 3 workers are available toperform inspection. After inspection, 10% of the jobs mustbe returned to stage 1, and they then repeat both stages 1and 2. After inspection, 20% of all jobs return to stage 2 andrepeat stage 2. Assume that interarrival times and servicetimes are exponential.a What is the average time a job spends in the systemfrom arrival to completion?b What percentage of the time is each worker busy?Four doctors work in a hospital emergency room thathandles three types of patients. The time a doctor spends with each type of patient is exponentially distributed, witha mean of 15 minutes. Interarrival times for each customertype are exponential, with the average number of arrivalsper hour for each patient type being as follows: type 1, 3patients; type 2, 5 patients; type 3, 3 patients. Assume thattype 1 patients have the highest priority, and type 3 patientshave the lowest priority (no preemption is allowed). What isthe average length of time that each type of patient mustwait before seeing a doctor?Based on Jacobs (1954). The Carter Caterer Company must have the following number of clean napkins available at the beginning of each of the next four days: day 1, 1500; day 2, 1200; day 3, 1800; day 4, 600. After being used, a napkin can be cleaned by one of two methods: fast service or slow service. Fast service costs 50 cents per napkin, and a napkin cleaned via fast service is available for use the day after it is last used. Slow service costs 30 cents per napkin, and these napkins can be reused two days after they are last used. New napkins can be purchased for a cost of 95 cents per napkin. Determine how to minimize the cost of meeting the demand for napkins during the next four days. (Note: There are at least two possible modeling approaches, one network and one nonnetwork. See if you can model it each way.)
- The Mechanical Engineering department has a student team that is designing a formula car for national competition. The time required for the team to assemble the first car is 100 hours. Their improvement (or learning rate) is 0.8, which means that as output is doubled, their time to assemble a car is reduced by 20%. Use this information to determine: the time it will take the team to assemble the 10th car. Create an excel spreadsheet having the following table. You must show the formula used in the excel sheets to calculate values in the columns. Plot Number of Units vs Time (in hours) and Number of Units vs Cumulative Time (in hours) in the same plot. Use different colors to distinguish the data.Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 900 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (a) Formulate and solve for the recommended production quantities. component 1 unitscomponent 2 unitscomponent 3 units (b) What are the objective coefficient ranges for the three components? (If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) component 1 to unitscomponent 2 to…Vollmer Manufacturing makes three components for sale to refrigeration companies. The components are processed on two machines: a shaper and a grinder. The times (in minutes) required on each machine are as follows: Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than 200 units of component 3 can be sold, but up to 800 units of each of the other components can be sold. In fact, the company already has orders for 600 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (a) Formulate and solve for the recommended production quantities. component 1 unitscomponent 2 unitscomponent 3 units (b) What are the objective coefficient ranges for the three components? (If there is no upper or lower limit, enter NO LIMIT. Round your answers to the nearest integer.) component 1 blank to blank units…