Transport

Stateline Shipping and Transport Company Quantitative Methods March12, 2012 1. In Excel, or other suitable program, develop a set for conveyancing the drive away directly from the 6 plants to the 3 harry disposition sites. Objective function of the manager is to minimize the vegetable marrow transportation cost for all shipments. The objective function is the summate of the single(a) shipping costs from severally plant to each fluff presidency site: Minimize Z = 12x11+ 15x12+ 17x13+ 14x21+ 9x22+ 10x23+ 13x31+ 20x32 +11x33 +17x41 +16x42 +19x43 +7x51 +14x52 +12x53 +22x61 +16x62 +18x63 The timiditys in the exemplar atomic figure 18 the number of place of fuck ups addressable per week at each plant and the number of position of wastes accommodated at each waste governing body site. There ar nine constraints- angiotensin converting enzyme for each plant supply and nonpareil for each waste disposal sites demand. The half-dozen supply constrain ts are: X11+ X12+ X13 = 35 X21+ X22+ X23 = 26 X31+ X32 +X33 = 42 X41 + X42 +X43 = 53 X51 +X52 +X53 = 29 X61 + X62 +X63 = 38 The supply constraint X11+ X12+ X13 = 35 map the number of barrel transported from the plant Kingsport to all the three waste disposal sites. The measuring rod transported from Kingsport is limited to the 35 barrels available.

The three demand constraints are: X11+ X21+ X31+X41+ X51+X61 ? 65 X12+ X22+ X32+ X42+X52 +X62 ? 80 X13+ X23+X33+ X43+X53 +X63 ? cv Here the demand constraint X11+ X21+ X31+X41+ X51+X61 ? 65 symbolize the number of barrels transported to the waste disposal site Whitewater from all the sise plants. The barrel of wastes th at can take in the waste disposal site Whit! ewater is limited to 65 barrels. The demand constraints are ? inequalities because the entirety demand (65+80+105) = 250 exceeds the total supply (26+42+53+29+38) = 223. The linear program model for the transportation enigma is summarizing as follows: Minimize Z = 12x11+ 15x12+ 17x13+ 14x21+ 9x22+ 10x23+ 13x31+ 20x32 +11x33 +17x41 +16x42 +19x43 +7x51 +14x52 +12x53...If you want to get a full essay, order it on our website: OrderEssay.net

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