Solve the following linear programming problem graphically: Maximize Z=4X₁ + 4X₂ Subject to: 3X₁ +5X₂ ≤ 150 X₁ - 2X₂ ≤ 10 5X₁ +3X₂ ≤ 150 X₁, X2₂ 20 1) Using the line drawing tool, plot the constraints by picking two endpoints for each line. Do not plot the nonnegativity constraints. 2) Using the point drawing tool, plot the five corner points which define the feasible region. The optimal solution is X₁ = and X₂ = (round your responses to two decimal places). Maximum profit is $ (enter your response as a whole number).
Q: Determine the main differences. Give particular instances of project management and software…
A: Software development and Project management are two different aspects, in which Software development…
Q: Why is it essential for students, employees, and business proprietors to become acquainted with…
A: Acquiring knowledge and understanding of operations management is crucial for students, employees,…
Q: Please do not give solution in image format thanku As mentioned in the article, public…
A: Decision-making involves the process of collecting the information that helps in selecting the best…
Q: The following table provides a random sample of the unit values and annual demands of eight SKUs.…
A: ABC analysis is a technique that is used by organizations for the management of inventory level and…
Q: Please define the term "technique" and explain its three primary components in a few sentences.
A: Operational management is crucial aspect of running the successful organization. It involves the…
Q: What are the different online platforms that Scotiabank offers explain in detail. what is itrade…
A: Scotiabank, one of Canada's largest banks, offers several online platforms to cater to different…
Q: Discuss the competitor’s services for each of the following competitor business below that is…
A: A competitor business refers to an organization or company that operates in the same industry or…
Q: Estimate the value of a loyal customer of a loyal Volvo automobile owner. Assume the contribution…
A: Customer loyalty is the degree of customer commitment as well as attachment toward purchasing a…
Q: What points resonate with you regarding leadership when it comes to Cultural Diversity Managing the…
A: NOTE: Since it is an opinion-based question, I can provide you with some general points that are…
Q: Read the below case study and answer the questions that follow What is relationship development and…
A: Relationship marketing is the approach that is related to providing good services to customers along…
Q: Analyse the issues described below using root cause analysis techniques.
A: The goal of root cause analysis is to go beyond immediate or surface-level factors and delve into…
Q: hat systems sypport tactical managers in hospitals ?
A: Tactical managers in hospitals rely on various systems to support their operations and…
Q: A company currently ships products from 5 plants to 4 warehouses. The company is considering the…
A: There are 2 components of cost, fixed cost and variable costs. Total Capacity of all 5 plants =…
Q: The president of Hill Enterprises, Terri Hill, projects the firm's aggregate demand requirements…
A: Aggregate planning is a technique to plan the forecast for different families of products and…
Q: What exactly is the meaning of automation in the workplace?
A: Operation management is performed in each manufacturing organization. It all deals with the…
Q: Wk Qu. 12-14 Customers arrive at a carwash on... Customers arrive at a carwash on average once every…
A: The average customer arrival time = 60 minutesCustomer follow exponential distribution then =…
Q: skills levels of operators and requested service levels as factors impacting warehouse operations…
A: Skilled operators play a vital role in maintaining efficient and effective warehouse operations.…
Q: 2.4 A quality engineer in charge of a coffee filter pack production line was concerned about the…
A: Control charts are graphical tools that are used by the company to monitor a process over time and…
Q: Please do not give solution in image format thanku Introduction Management Function Management…
A: Management functions are the activities that are essential to perform by the organization and that…
Q: How important do you think it is for the operations part of your business plan to talk about…
A: We should include information related to management and staff in the operations part of a business…
Q: The challenges these acquisitions face suggest that a more agile and iterative approach could have…
A: Governments must weigh a variety of aspects and concerns before deciding whether to entirely…
Q: a coffee company based in Norway wanted to import from Columbia what would they need to consider?…
A: Global business management refers to the practice of overseeing and coordinating business operations…
Q: 2. The “five forces” model developed by Michael E. Porter has been the most commonly used analytical…
A: Porter's five forces analysis is a framework developed by Michael E. Porter to assess the…
Q: The decision under different risk approaches such Risk seeking approach/ Risk neutral approach/ Risk…
A: Risk in decision-making is the uncertainty or variability of results linked to various options or…
Q: Keep in mind that off-site storage is not the same as warehousing done on the premises.
A: Off-site storage and on-site warehousing are the two distinct methods of the storing goods or…
Q: Please do not give solution in image format thanku It is a common business practice to protect your…
A: A business plan is a written document that shows the goals of a company that it wants to achieve by…
Q: Bill of Material for Office Table (1 required) required) Office Table Final Assembly Gross…
A: We complete the table as shown below:When the net requirements are a non-zero value, we order in…
Q: a.- Determine an optimal harvest schedule for the next four months without using a network…
A: Determining the optimal harvest schedule involves making decisions regarding the allocation of…
Q: Outsourcing can be referred to as the make versus buy decision because firms must decide which…
A: From 1977 through 2007, Solectron Corporation served as a global provider of electronics…
Q: Draw an activity network described in this precedence table, using possible. as few dummies as
A: A network diagram shows the link of each task with the duration taken by each activity with respect…
Q: Hoosier Manufacturing operates a production shop that is designed to have the lowest unit production…
A: Maximum Capacity = Efficient output rate for least cost * Number of hours Efficient output rate for…
Q: A manager wants to determine the number of containers to use for incoming parts for a kanban system…
A: I would now determine the number of containers,
Q: List and describe the process for project cost management
A: Managing the Project cost is an important aspect of project management that involves not only…
Q: Please do not give solution in image formate thanku Ann Chovies, owner of the Perfect Pasta Pizza…
A: Daily demand of pepperoni= 40 pounds No. of working days in a year = 300Ordering cost per order =…
Q: Determine the main differences. Give particular instances of project management and software…
A: Project management and software development are two different professions with some similarities and…
Q: 1. Investing $$ in actual bottleneck Work STEPS in multiple Work STEPS processes would increase the…
A: Bottleneck is referring to a stage or point where the work flow is limited based on it actual…
Q: How aPublic school can increase revenue and reduce expenses during the next school year, Give three…
A: Operations management in the context of a school refers to the planning, organizing, and controlling…
Q: For a table manufacturing company, selling price for a table is $183.00 per Unit, Variable cost is…
A: Current Mode:Selling Price = SP1 = $183 per unitVariable Cost = VC1 = $ 25 per unitRent = $3380 per…
Q: Develop a lot-for-lot solution and calculate total relevant costs for the gross requirements in the…
A: Material Requirement Planning is a systematic approach that is used by businesses for determining…
Q: How can businesses effectively manage inventory turnover and aging inventory to minimize waste and…
A: Inventory management is the process of overseeing and controlling the flow of goods or materials…
Q: What exactly is the meaning of automation in the workplace?
A: Operation management is performed in each manufacturing organization. It all deals with the…
Q: Suppose that the probabilities that Amy drives 12,000, 15,000, and 18,000 miles per year are 0.5,…
A: According earlier calculation: Payoff table…
Q: Find the Optimal Economic order quantity for the following: Annual Demand - 3600 units Ordering…
A: Annual demand (D) = 3600 unitsOrdering Cost (S) = $50Storage cost = 20% of unit price
Q: Todd has a small business that manufactures sportswear. Todd learns that corporate volleyball teams…
A: As per our guidelines, we are supposed to answer only first question if multiple questions are…
Q: Choose one product available at Food Lovers market (Fresh Fruit and Vegestables shop) and critique…
A: Let's consider the product "Apples" available at Food Lovers Market, a Fresh Fruit and Vegetables…
Q: The Incident Command System (ICS) is a structure and response system that has become the standard in…
A: One of the key principles of the ICS is the establishment of a clear chain of command. The incident…
Q: Total Quality Management (TQM) is the continual process of detecting and reducing or eliminating…
A: TQM stands for Total Quality Management. It is an approach to management that focuses on…
Q: Why might telecommuting employees sometimes accept being wrongly classified (and not being paid…
A: For a number of reasons, employees who telecommute may occasionally accept being incorrectly…
Q: Select a company of your choice from the list below and answer questions that follow. • Barloworld…
A: Imperial Logistics, a leading organization in the logistics industry, employs a meticulous supplier…
Q: What will the forecast be for January the following year using a three-, four-, and five-month…
A: Forecasting is knowing the part of future events by making predictions and estimates mainly based on…
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
- Next question Use the simplex method to solve the linear programming prob z= 8x1 - 7x2 + 4x3 2x1 Maximize X2 + 8x3 s 40 4x1 - 5x2 + 6x3576 2x1 - 2x2 + 6x3< 32 X120, X2 20, хз 20. subject to Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The maximum is , X2 =, X3 = S2 = and s3 when X1 S1 = B. There is no maximum.1. A manufacturing company is engaged in producing three types of products: X, Y and Z. The production department produces, each day, components sufficient to make 50 units of X, 25 units of Y and 30 units of Z. The management is confronted with the problem of optimizing the daily production of the products in the assembly department, where only 100-man-hours are available daily for assembling the products. The following additional information is available Type of Product Profit Contribution Assembly Time per Product (Hrs) per Units of Products (in PhP) 120 0.8 Y 200 1.7 450 2.5 The company has a daily order commitment for 20 units of product X and a total of 15 units of products Y and Z. Formulate this problem as an LP model so as to maximize the total profit. Using simplex method, find the number of units of product X, Y and Z to product to maximize total profit.Solve the linear programming problem by the method of corners. Maximize P= x + 6y subject to x + y s4 2x + y s6 x 2 0, y 20 The maximum is P = at (x, y) = Need Help? Read It
- A company that makes handbags, razor bags and backpacks needs to make the most of its raw materials. The production includes leather and synthetic materials, and leather is the scarce raw material. The production process requires two types of skilled labor: sewing and finishing. The following table gives the availability of resources, their consumption by the three products and the profits per unit. Requested: Get the Case Variables Obtain the Objective Function Get Restrictions Create the Simplex Table Obtain the Optimal Solution and Slack VariablesFind the optimal solution for the following problem. (Round your answers to 3 decimal places.) Minimize C = 13x + 3y + 12z 6x + 14y + 21z 2 66 15x + 20y + 7z 2 132 x 2 0, y ż 0, z ż 0. subject to and a. What is the optimal value of x? b. What is the optimal value of y? c. What is the optimal value of z? d. What is the minimum value of the objective function?The captain of a cricket team has to allot five middle batting positions to five batsmen. The average runs scored by each batsman at these positions are as follows: Batsman Batting position IV V P 40 40 40 35 25 50 Q 42 30 16 25 27 R 50 48 40 60 50 S 20 19 20 18 25 T 58 60 59 55 53 • Batsmen 'U' with the following average runs in batting positions as given below: Batting position IV V Average runs 45 52 38 50 49
- The High-Price Oil Company owns a pipeline network that is used to convey oil from its source to several storage locations. A portion of the network is as follows: Due to the varying pipe sizes, the flow capacities vary. By selectively opening and closing sections of the pipeline network, the firm can supply any of the storage locations. a. If the firm wants to fully utilize the system capacity to supply storage location 7, how long will it take to satisfy a location 7 demand of 100,000 gallons? What is the maximal flow for this pipeline system? b. If a break occurs on line 2–3 and that line is closed down, what is the maximal flow for the system? How long will it take to transmit 100,000 gallons to location 7?Solve the following Linear Programming model using the graphical method (USING EXCEL){Write the steps of construction} Q1)MaximizeH = x + 3y Objective functionsubject tox + y ≤ 502x + y ≤ 60 x ≥ 0, y ≥ 0Define the term constraint.
- Multiple Optimal Solution: Example (9): Find the optimal solution for the : Multiple Optimal following model by the graphical method Max Z = X,+X, X, +X, 23 .(1) X, +X, 56 S. to : X,21 ..(2) .(3) X, s2 (4) X, 20 X, 20L.P. Model: Maximize Subject to: Z = 8X+6Y 1X + 2Y ≤8 5X +4Y ≤20 X,Y 20 (C₁) (C₂) On the graph on right, the constraints C, and C₂ have been plotted. Using the point drawing tool, plot the four corner points for the feasible area. The optimum solution is: X= 4 (round your response to two decimal places). Y = (round your response to two decimal places). 20- 18- 16- 14- 12+ >10- 8- 6- 0 2 4 6 8 10 X 12 14 16 18 20 2Four qualified postgraduate students are to be allocated to four professors. The preference given by student (scale 1-10) is shown as table below. Student A В C D Professor James Jordan Janet 7 8 6. Jessy 5 8. 7 (a) Formulate a linear programming model for the problem. [NOTE: Please use x, where i = 1, 2,...,n -Professor and j=1, 2,...,m -Student to represent your decision variables.] (b) From the output below, what is the optimal allocation plan and what is the total preference scales obtained from the allocation plan? Model Variable Original Value Final Value Value x11 1 1 Value x12 1 Value x13 1 Value x14 Value x21 Value x22 Value x23 1 1 1 1 1 Value x24 1 Value x31 Value x32 Value x33 1 1 1 1 Value x34 1 Value x41 1 Value x42 1 Value x43 1 Value x44 1 1 699 445