What is the lp model formulation for this problem

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A trucking firm must transport exactly 900,800,700, and 1,000 units of a product to four cities: A, B, C, D.  The product is manufactured and supplied in two other cities, X and Y, in the exact amounts to match the total demand.  The production of units from the two cities is 1,900 and 1,500 units, respectively to X and Y.  The cost per unit to transport the product between the manufacturing plants in cities X and Y and the demand market cities A,B,C,D are given here:

                       Demand market

Supply Plant         A                 B                   C              D

x                            .65              .70                .80           .90

y                            .60              .60                .80           .70

 

For example in the table , 40.65 is the cost to ship one unit from supply plant x to demand market a.  The trucking firm needs to know how many units should be shipped from each supply city to each demand city in such a way that it minimizes total costs.  What is the LP model formulation for this problem.  

 

 

Reference no: EM13811634

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