I.What do you mean by transportation problem?II.Write general form of the transportation problem.III.Find the initial basic feasible solution of the following Transportation Problem by Least CostMethod. The transportation costs per unit are shown in the following table.PlantDistribution CentreSupplyD1D2D3P11071240P2131430P36.91530Demand105040

The objective of transportation problem is to determine the amount to be transported from each…

Answered: I. What do you mean by transportation…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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8. process consists of two machines only: A firm is producing two brass ornaments, a standard and a deluxe. The manufacturing Machine 1 Machine 2 Standard Model 1 Hour 1 Hour Deluxe Model 2 Hours 5 Hours There are 20 hours available on machine 1 and 35 hours on machine 2. The profit of £0.50 on the standard model and £1.50 on a deluxe model. that would maximise profit. firm makes a Determine the output
The step-by-step explanation for the following problem
5 Deancorp produces sausage by blending together beef head, pork chuck, mutton, and water. The cost per pound, fat per pound, and protein per pound for these ingredients is given in Table 59. Deancorp needs to produce 100 lb of sausage and has set the following goals, listed in order of priority: Goal 1 Goal 2 Goal 3 Sausage should consist of at least 15% protein. Sausage should consist of at most 8% fat. Cost per pound of sausage should not exceed 8¢. Formulate a preemptive goal programming model for Deancorp. TABLE 59 Fat (per lb) Protein (per lb) Cost (in c) Head .05 .20 .12 Chuck .24 .26 9 Mutton .11 .08 8 Moisture 0 0 0
A firm manufactures 2 products A and B. The profits are 5$ and 8$ respectively. The firm has 2 machines and below is the required processing time in hours for each machine on each product. Product A В Machines G 6. 8. H 4 Machine G must be operated for at least 48 hours. Hours Available for machine H is 20 hours. Set up an LP problem to maximize profit and solve it graphically.
A 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. Min s.t. Hours required to complete all the oak cabinets Hours required to complete all the cherry cabinets Hours available Cost per hour hours available 1 oak hours available 2 cherry hours available 3 Cabinetmaker 1 01, 02, 03, C1, C2, C3 20 50 60 00000 40 $36 Cabinetmaker 2 42 For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete…
3. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. The annual production of skateboards at a local factory is described by the equation: U (x,y) = 800x(1/4) y(3/4) where x is worker-hours and y is capital expenditure (measured in units of $10 dollars). Manufacturing costs the factory roughly 10x + 20y dollars. a) What values of x and y will allow the factory to maximize the production of skateboards while spending only $600?
1. Carco manufactures cars and trucks. Each car contributes 300 USD to profit, and each truck contributes 400 USD to profit. The table gives the quantities of resources used to produce a car and truck. Below are the restrictions on this. Accordingly, how much of which vehicle should the business produce to achieve the highest profit? Time Humanforce Raw material Profit (USD) Car 2 2 3 300 Truck 3 1 3 400 Solution 24 16 33
1. Mary has been placed on a strict diet. She monitors her food very carefully. One day at lunch, she plans to have tuna fish sandwiches and tomato soup. The nutrients per serving are found in the table below: Fat (g) Sodium (mg) Protein Sandwich 10 200 20 Soup 4 400 10 Mary can have no more than 34 grams of fat and 1000 mg of sodium. How many servings of soup and sandwich can she have for lunch to maximize her protein intake? a) Define the variables: b) What are the constraint inequalities? Inequality concerning sodium: Inequality concerning fat: c) What is the objective function?
Consider the transportation problem given below. Destinations Source 1 2 3 Supplies 1 9 6 4 5 2 4 10 2 6 3 15 7 10 5 Demands 9 3 4 16 Construct the NW corner solution Compute the total cost of the NW corner solution Using the stepping stone method, find the min-cost solution.
Q2. Pharmaceutical company producing a single product sold it through five agencies situated in different cities. All of sudden there rouse a demand for the product in another five cities that didn't agency of the company. The company is now facing the problem of deciding on how to assign the existing agencies in order to dispatch the product to needy cities in such a way that the travelling distance is minimized. The distance between the surplus and deficit cities in kilometer is given the following table. Surplus city Deficit cities Deficit cites a b d. e A1 160 130 115 190 200 B1 135 120 130 160 175 C1 140 110 125 170 185 D1 50 50 80 80 110 E1 55 35 80 80 105 Determine the optimum assignment schedule.
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