HEAVYLOAD INC has 3 resources (Resource A, Resource B and Resource C) in its production process. The production process involves 3 products (Product A, Product B and Product C) being processed through these 3 resources. Currently, there is demand for 700 units of Product A, 1,000 units of Product B and 200 units of Product C per hour. The following bullets provide information about each resource: At Resource A, the processing time for Product A is 12.096 seconds and for Product C is 43.2 seconds. Resource A does not process Product B. 3 workers currently work at Resource A but this resource only comprises 80% of their total work time for the company. Assume that each work day has 24 hours. a) What is the demand rate for Resource A in flow units per hour?

HEAVYLOAD INC has 3 resources (Resource A, Resource B and Resource C) in its production process. The production process involves 3 products (Product A, Product B and Product C) being processed through these 3 resources. Currently, there is demand for 700 units of Product A, 1,000 units of Product B and 200 units of Product C per hour. The following bullets provide information about each resource: At Resource A, the processing time for Product A is 12.096 seconds and for Product C is 43.2 seconds. Resource A does not process Product B. 3 workers currently work at Resource A but this resource only comprises 80% of their total work time for the company. Assume that each work day has 24 hours. a) What is the demand rate for Resource A in flow units per hour?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 73P

See similar textbooks

Similar questions

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 7 5 2 5 5 3 5 2 The shaper is available for 125 hours, and the grinder is available for 95 hours. No more than 170 units of component 3 can be sold, but up to 1050 units of each of the other components can be sold. In fact, the company already has orders for 625 units of component 1 that must be satisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. If more time could be made available on the grinder, how much would it be worth? If required, round your answers to two decimal places.$ _____ per minute, since the dual value is _____ on the grinder at the optimal solution.
Sunseel Industries produces two types of raw materials, A and B, with a production cost of $4 and $8 per unit, respectively. The combined production of A and B must be at least 700 units per month. The factory is expected to produce at least 400 units of B and not more than 1200 units of A each month. The processing times for A and B are observed to be 5 hours and 4 hours, respectively. A total of 3000 production hours are available per month. Develop a linear program that Sunseel Industries can use to determine the number of units of each raw material to produce that will meet the demand and minimize the total cost.
A toy manufacturer preparing a production schedule for two new toys, trucks spinning tops,must use the information concerning their construction times below.Machine A Machine B FinishTruck 2hr 3hr 5hrSpinning Top 1hr 1hr 1hrFor example, each truck requires 2 hours on machine A. The available employee hours per weekare as follows: For operating machine A; 80 hours; for B, 50 hours; for finishing 70 hours. If theprofits on each truck and spinning top are R7 and R2, respectively, how many of each toyshould be made per week to maximize profit? What is the maximum profit?
A furniture company is producing tables and chairs for the coming week. The production of tables and chairs will go through two processes: wood cutting and assembly. In the woodcutting process, the required labor hour is 1 hour for a chair and 2 hours for a table. In the assembly process, the required labor hour is 4 hours for a chair and 3 hours for a table. For the coming week, the maximum labor hour is 70 hours for the wood cutting process and 180 hours for the assembly process. Based on the company’s inventory level, the company decides to produce no more than 100 chairs and 30 tables for the coming week. Suppose the profit margin is $5/chair and $6/ table. Set up a linear programming model to maximize the total profit for this furniture company and solve the model using Excel Solver. A. What is the optimal solution? B. What are the values of the slack/surplus variables at the optimal solution?
Celestial Artistry Company is developing departmental overhead rates based on direct-labor hours for its two production departments, Etching and Finishing. The Etching Department employs 20 people and the Finishing Department employs 80 people. Each person in these two departments works 2,000 hours per year. The production-related overhead costs for the Etching Department are budgeted at $200,000, and the Finishing Department costs are budgeted at $320,000. Two service departments, Maintenance and Computing directly support the two production departments. These service departments have budgeted costs of $48,000 and $250,000, respectively. The production departments’ overhead rates cannot be determined until the service departments’ costs are allocated. The following schedule reflects the use of the Maintenance Department’s and Computing Department’s output by the various departments. Using Department Service Department Maintenance Computing Etching Finishing Maintenance (maintenance…
Show your step-by-step process using THE SPECIAL PURPOSE LINEAR PROGRAMMING: MODI TRANSPORTATION METHOD to solve this problem. XYZ Incorporated has received a contract to supply gravel to three new road projects located at three different locations. Project A needs 174 truckloads, Project B needs 204 truckloads, and Project C needs 143 truckloads. The company has three gravel warehouses located in three different places. Warehouse 1 has 158 truckloads available, warehouse 2 has 184, and warehouse 3 has 179. The cost of transportation from the warehouse to the projects are: from warehouse 1 to Projects A, B, C = Php 4, Php 8, Php 8 per truckload respectively. From warehouse 2 to Projects A, B, C = Php 16, Php 24, Php 16 per truckload respectively. From warehouse 3 to Projects A, B, C = Php 8, Php 16, Php 24 per truckload respectively. The objective is to design a plan of distribution that will Minimize the cost of transportation.
Winkler Furniture manufactures two different types of china cabinets: a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: carpentry, painting, and finishing. The table on this page contains all relevant information concerning production times per cabinet produced and production capacities for each operation per day, along with net revenue per unit produced. The firm has a contract with an Indiana distributor to produce a minimum of 300 of each cabinet per week (or 60 cabinets per day). Owner Bob Winkler would like to determine a product mix to maximize his daily revenue.Use Solver to solve the problem. You need to have one Excel sheet with the problem setup and another sheet with Solver solution
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?
XYZ Corporation operates two plants, each of which has a capacity of 140 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 11 units per day while customer D has a demand of 247 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 12 18 21 10 Plant 2 16 14 18 20 How many units should XYZ ship from each plant to each customer? Customer A Customer B Customer C Customer D Plant 1 Plant 2 What is the least XYZ will spend on shipping each day?
A Company has two support departments (Administration and Janitorial) and three producing departments (Fabricating, Assembly, and Finishing). Costs and activities are as follows: Administration Janitorial Fabricating Assembly Finishing Direct costs........................ $50,000 $30,000 $40,000 $50,000 $25,000 Number of employees....... 10 30 40 20 Square feet........................ 2,000 10,000 28,000 15,000 Direct labor hours.............. 5,000 6,000 2,000 Administrative services are allocated based on the number of employees; janitorial services are allocated based on square footage. Overhead rates for the three producing departments are based on direct labor hours. Required: Determine the overhead application rates for the producing departments using each of the three allocation methods: 1. Direct allocation method for the support departments 2. Step allocation method for the support departments 3. Reciprocal allocation method for the support departments
Washington Ski Company (WSC) is a small manufacturer of two types of popular all-terrain snow skis, the Axis and the Status models. The manufacturing process consists of two principal departments: fabricating and finishing. The fabrication department has 12 skilled workers, each of whom works 7 hours per day. The finishing department has 3 workers, who also work a 7-hour shift. Each pair of Axis skis requires 3.5 labor-hours in the fabricating department and 1 labor-hour in finishing. The Status model requires 4 labor-hours in fabrication and 1.5 labor-hours in finishing. The company operates 5 days per week. WSC makes a new profit of $50 on the Axis model and $65 on the Status model. In anticipation of the next ski-sale season, WSC must plan its production of these two models. Because of the popularity of its products and limited production capacity, its products are in high demand, and WSC can sell all it can produce each season. The company wants to determine how many of…
XYZ Corporation operates two plants, each of which has a capacity of 100 units per day. Each day, XYZ must ship their product to each of four customers. Customers A, B, and C each have a demand of 20 units per day while customer D has a demand of 140 units per day. The cost of shipping one unit of each product from each of the two plants to each of the customers is shown in the table below. Customer A Customer B Customer C Customer D Plant 1 24 21 19 18 Plant 2 18 16 19 10 How many units should XYZ ship from each plant to each customer? (Leave no cells blank—be certain to enter "0" wherever required. Round your answer to the nearest whole number.) What is the least XYZ will spend on shipping each day? (Round your answers to 2 decimal places.)