A project needs to assign 4 people to 4 jobs so that the total cost of the assignment is minimum. Each job is to assign to only one person, and each person is be assigned with only one job. The following table gives the cost of a person completing a particular job: Job 1 3 Person A 19 5 4 5 В 4 3 5 16 C 3 1 3 2 D 4 16 4)
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- Use simplex method for linear programming. Show solution for each iteration table. Problem: A small firm that assembles computers is about to start production of two new types of personal computers. Each type will require assembly time, inspection time, and storage space. The amount of each of these resources that can be devoted to the production of the computers is limited. The manager of the firm would like to determine the quantity of each computer to produce in order to maximize the profit generated by sales of these computers. In order to develop a suitable model of the problem, the manager has met with design and manufacturing personnel. As a result of those meetings, the manager has obtained the following information: Type 1 Type 2 Profit per unit $60 $50 Assembly time per unit 4 hours 10 hours Inspection time per…In the game shown below, Player 1 can move Up or Down, and Player 2 can move Left or Right. The players must move at the same time without knowledge of the other player’s move. The first payoff is for the row player (Player 1) and the second payoff is for the column player (Player 2). Solve each game using game theoretic logic. Player 2 Player 1 Left Right Up 3, 2 2, 3 Down 0, 9 1, 1Suppose that you are a manager in an organization and your staff required laptops for their routine work you have limited budget time and certain specifications required in laptops you have to solve this problem how can you solve this problem in a sequential manner?
- Please do not give solution in image format thanku Let xi = 1 if Project i is selected, i = 1,2,3,4,5; and 0 otherwise: Which answer below indicates that if Project 2 is selected, then Project 4 must be selected? Group of answer choices None of the above x2 + x4 = 1 x2 + x4 ≤ 1 x4 ≤ x2 x2 ≤ x4Six ships are docked in a harbor awaiting unloading. The times required to unload the ships are random variables with respective means of 0.6, 1.2, 2.5, 3.5, 0.4, and 1.8 hours. The ships are given a priority weighting based on tonnage. The respective tonnages are 12, 18, 9, 14, 4, and 10. In what sequence should the ships be unloaded in order to minimize the expected weighted time?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.
- 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. N (no of Units) Time to Produce Nth Cumulative Time (1 to N) 1 2 3 4 5 6 7 8 9 10Solve 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 ≥ 0A linear programming computer package is needed. Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work are shown here. Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3 Hours required to complete all the oak cabinets 50 42 30 Hours required to complete all the cherry cabinets 60 48 35 Hours available 40 30 35 Cost per hour $36 $42 $55 For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 40 hours…
- (Linear Objective Function and Optimization Application) On a special occasion, renowned electronic giant retailer Best Buy sold a variety of TVs at a discounted prices or on huge sales. Task-1: Write down an appropriate equation for the net profit function, P in order to account for the net profit made by Best Buy after selling: (i) x-number of televisions (TVs) that made $250 profit on the sale of each SONY TVs (ii) y-number of televisions that made $10,500 profit on the sale of each PHILIP TVs respectively, in that event. Task-2: Profit margin, P as discussed in Task-1 was subject to the following constraints applied to the products. a. Maximum cost price was $5000 to manufacture each piece of SONY TVs and $10,000 to manufacture each piece of PHILIP TVs respectively. All TVs were manufactured at a maximum cost of $10 x106 as given in Plot No 1: Plot No. 1: ($5000 x + $ 10000y) ≤ $10 million; Graph the Plot No. 1 up to the scale in a paper. b. 10 and 150 employees worked to…Facility Location. A paper products manufacturer has enough capital to build and manage some additional manufacturing plants in the United States in order to meet increased demand in three cities: New York City, NY; Los Angeles, CA; and Topeka, KS. The company is considering building in Denver, CO; Seattle, WA; and St. Louis, MO. Max Operating Capacity 400 tons/day 700 tons/day Denver Seattle $10/ton $17/tor $5/ton $11/ton.... $18/ton.... $28/ton Los Angeles Topeka New York City Figure 1: Graphical representation of the given data = • The cost fi of building plants in these cities is fi $10,000,000 in Seattle. Unmet Demand 300 tons/day 100 tons/day 500 tons/day • Due to geographic constraints, plants in Denver and Seattle would have a maximum operating capacity kį of 400 tons/day and 700 tons/day respectively. $5,000,000 in Denver and f2 = • The cost cij per ton of transporting paper from city i to city j is outlined in Figure 1. • The unmet demand d, for Los Angeles, Topeka, and New…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?