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Consider the following erwork representation of a transportation problem represe

ID: 383499 • Letter: C

Question

Consider the following erwork representation of a transportation problem representat Cny Sappiie AU The supplies, demanás, and transportatiou cots per i are shown or the nerwor. 27. Develop a inear programming mode! for this problea: be sure to define the variabies ir your model Let x-amount shippod from Jeffcrsom City to Des Moines x12-amount shipped from Jefferson City to Kansas City x13 = amount shipped horn Jefferson City to St. Louis x21 - amount siipped from Omaha to Des Moines X22 = amount shipped rom Omaha to Kansas City x-amount shipped from Omaha to S:. Louis x12-n: 5 10

Explanation / Answer

Q27. The linear optimization model for the problem is c.

Min 14x11 + 9x12 + 7x13 + 8x21 + 10x22 + 5x23

s.t.

x11+x12+x13 <= 30

x21+x22+x23 <= 20

x11+x21 = 25

x12+x22 = 15

x13+x23 = 10x11, x12, x13, x21, x22, x23 >= 0

_______________________

Q28. b. Excel Solver

There are 6 decision variables, so it cannot be solved by graphical method, becase Graphical method can be used only for 2 variable problem. This can be solved by Excel Solver.

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