Problem. 1 solve the following transportation problems byFactories W1W2W3W4supply

F1641514

F2892716

F343625

Demand61015435

North west corner ruleVam method

Problem. Solve the folllowing transportatio problems by1. North west corner rule2. Vam method3. Least cell methodGive an optimal solution by using Stepping stone method Modi methodTo/fromABCSupply

16810150

271111175

34512275

Demand200100300600

Problem. Transportation cost involves the cost and demandFrom/toPQRSupply

1$7$8$1050

2$9$7$860

Demand703040

Write down minimum cost method and then using stepping stone method to obtain optimal solution.Problem.4 the hardrock concrete company has plants in three locations and is currently working on three major constructionProjects, each located at a different site. The shipping cost per truckload of concrete, daily plantCapacities, and daily project requirements are provided in the accompanying table.A) formulate an initial feasible solution to hardrocks transportation problem using vam.B) then solve using the modi method.C) was the initial solution optimal?Problem.5 the jessie cohen clothing group owns factories in three towns (w, y, and z) that distribute to three cohenRetail dress shops (in a, b, and c). Factory availabilities, projected store demands, and unit shipping costs areSummarized in the table that follows:Use vogels approximation method to find an initial feasible solution to this transportation problem. Is yourVam solution optimal?Problem.6 the saussy lumber company ships pine flooring to three building supply houses from its mills in pineville,Oak ridge, and mapletown. Determine the best transportation schedule for the data given in the accompanyingTable. Use the northwest corner rule and the modi method.