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    Linear Programming

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    Linear Programming Using Excel : Parameters that Lead to a Certain Profit

    You are managing the OR and have been told to come up with the mix of surgeries and doctors that will yield $2,300,000. Currently your OR performs 5 different surgeries and has 3 different doctors. Your OR operates one shift per day with a maximum amount of 8,000 OR hours. The only constraints that you have been given are the fo

    Linear programming

    The problem is in the attachment file. Thank you. Optimization The Sentry Lock Corporation manufactures a popular commercial security lock at plans in Macon, Louisville, Detroit, and Phoenix. The per unit cost of production at each plant is $35.5, $37.5, $39, and $36.25, respectively, while the annual production capaci

    Linear Programming for a Management Scientist

    Baseball Inc produces Regular gloves and Catcher?s mitt. The linear programming problem is listed below: Max 5R + 8C s.t. R + 3C < or equal to 1800 Cutting dept 3R + 2C < or equal to 1800 Finishing dept R + 2C < or equal to 800 Packaging dept R, C, > or equal to 0 The computer solution obtained using the Mana

    Linear Programming

    Problem # 2 EM manufactures two lightweight motocycles designed for easy handling. The EZ Rider and the Lady Sport. Each EZ Rider engine requires 6hrs of manufacturing time and each Lady Sport requires 3 hrs of manufacturing time. EM produces the engines for both model at the DesMoines plant. The Des Moines plant has 2100 h

    Transportation Minimum-Cost Model Problems

    The problem is posted in the attachment. Thank you. Transportation Problem Set 1. Consider a transportation problem with 4 sources and 3 demand points. (a) Write the min-cost model in full (without using &#8721; notation). (b) Draw the network. (c) Construct the standard data table. 2. Consider a transportation prob

    Linear Programming Formulation Problems

    Linear Programming Formulation Problem Set (Show all works.) 1. A farmer can purchase 3 kinds of feed for his stock, with various percentages of each of 4 nutrients, called A, B, C, and D. A mixture of feeds gives proportional amounts of nutrients. The following table gives the minimum daily requirements (lb), cost (¢ / lb

    Linear programing question

    A major automobile manufacturer also produces two types of trucks type I and typeII. all the trucks are produced in one plant in the eastern part of the united states. each month the production manager of the plant must detemine how many units of each truck to produce. The type I truck generates a contribution margine of $220 pe

    Utility Concave Functions

    Please see attached. Base on the following info, and assume a concave utility function. (ERA, ) = (10, 3), (ERB, ) = (10, 4), (ERC, ) = (11, 3) and (ERD, ) = (11, 4). How can I establish a dominance relationship between the following securities based on the expected return, standard deviation pairs (ER, )?

    Current Domination of Security

    Assume that you are currently holding security O, and that (E , ) = (7, 3). You are considering a portfolio consisting of risk free security F with RF = 3, and a risky security I with (ERI, ) = (10, 4). The objective is to equalize the risk of this portfolio to the risk of security O. Does a portfolio dominates security

    Simplex Method: Maximize & Minimize

    Please see the attached file for full problem description. Maximize Minimize P=100x1 + 200x2 + 50x3 C=5x1 + 4x2 + 3x3 Subject to the constraints Subject to the constraints 5x1 + 5x2 + 10x3 < 1000 x1 + x2 + x3 > 100 10x1 + 8x2 + 5x3 < 2000 2x1 + x2 > 50 10x1 + 5x2 < 500

    Simplex Method: Find the Maximum Profit

    A brewery manufactures three types of beer - lite, regular, and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar, and 1 bag of hops. Each vat of regular beer requires 4 bags of barlet, 3 bags of sugar and 1 bag of hops. Each vat of dark beer requires 2 bags of barley, 2 bags of sugar and 4 bags of hops. Each

    Matlab and roots

    Hi, I need help in using Matlab to build an m file for solving non-linear equations using the Newton-Raphson method (or another recommended method.) I need a clear explanation of the process of creating an m file, and also using it to find the roots of the following two equations as examples: 1) f(x) = exp(-x) - sin(

    Probabilstic Dynamic Programming

    A vendor sells sweatshirts at football games. They are equally likely (0.5,0.5) to sell 200 or 400 sweatshirts per game. Each order placed to the supplier costs $500 plus $5 per quantity ordered. The vendor sells each sweatshirt for $8. The is a holding cost of $2 (inventory costs) for each shirt leftover after each game. The ma

    Linear Programming : Corner Point Method

    Dr Wu can cure colds with his 3 layer pills. They come in two sizes, regular and king size. Regular size contains 2 grains of aspirin, 5 grains of bicarbonate, and 1 grain of codeine. For king size, it is 1 grain of aspirin, 8 grains of bicarbonate, and 6 grains of codeine. Dr Wu shows that is requires at least 12 grains of aspi

    Linear Programming Integers for Maximize Storage Capacity

    An office manager needs to buy new filing cabinets. Cabinet A costs $7, and takes up 6 square feet of floor space, and holds 9 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 13 cubic feet. He has only $66 to spend and the office has room for no more than 60 square feet of cabinets. (Find the Objective

    Linear Programming: The Simplex Method

    Please help with the given problem: A nutritionalist is preparing a supplement mixture to add to a preparation of oatmeal. The nutritionalist has 3 mixtures available that can be combined to give the desired mixture. Each gram of the first mixture contains 1 unit of calcium, 1 unit of iron, and cost 70 cents. Each gram of the

    Linear programming-maximze advertising budget

    As part of a campaign to promote its annual clearance sale, the Excelsior Company decided to buy television advertising time on Station KAOS. Excelsior's advertising budget is $102,000. Morning time costs $3000/minute, afternoon time costs $1000/minute, and everning (prime) time costs $12,000 minute. Becasue of pervious commitme

    Linear Programming : Trim and Surplus Waste

    International Cellulose Corporation produces paper products. In one of its processes reels of 100 inch wide paper are cut into smaller width reels of the same length. Each week, orders for different width reels are received. This week the company has orders for 30, 50 25, and 90 reels, respectively, of the 60, 48 36 and 24 inc

    Linear Programming Model: 1) Formulate and solve an LP to maximize the company's revenues. 2) Reformulate and solve the problem if, after the first 50 units, the company can only sell B's at the reduced price of $46.

    A Company produces three products, A, B and C and can sell these products in unlimited quantities at the following unit prices: A, $10, B$56 and C, $100. Producing a unit of A requires 1 hour of labor; a unit of B, 2 hours of labor plus 2 units of A; and a unit of C requires 3 hours of labor and 1 unit of B. A total of 400 lab

    Operations Research: North-West Corner Method

    Please see the attached file for the fully formatted problem. For the transportation problem given by the following tableau, find an initial basic feasible solution by the North-West corner method and then find an optimal solution. [Tableau]

    Operations Research: Maximizing Profit

    A factory can assemble printers and scanners. The 50 factory workers operate three four hour shifts which keep the factory running for a total of 12 hours a day, 6 days a week. Before the printers and scanners can be assembled, the component parts must be purchased and the maximum value of the stock that can be held for a days a

    Operations Research: Simplex Tableau

    Use the Simplex Tableau Method to solve the following linear programming problem. Maximise z=5x1 + 3x2 subject to: 4x1 + 2x2 <= 15 4x1 + x2 <= 10 x1 + x2 <=4 and xj >= 0, j =1,2. Use the optimal tableau above to answer the following. i) State the maximum value of z. ii) State the values of all the basic variable