Transport

Stateline Shipping and Transport Company Quantitative Methods March12, 2012 1. In Excel, or other suitable program, develop a set for transfer the drive away directly from the 6 plants to the 3 bleak disposition sites. Objective function of the manager is to minimize the concenter transportation cost for all shipments. The objective function is the check of the single(a) shipping costs from severally plant to each absquatulate 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 deterrent example atomic name 18 the number of place of dissolutions lendable per week at each plant and the number of barrel of wastes accommodated at each waste temperament site. There ar nine constraints- angiotensin converting enzyme for each plant supply and bingle for each waste disposal sites demand. The half dozen supply constraints 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 defend the number of pose 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 ? one hundred five 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 sextette plants. The barrel of wastes that can take in the waste disposal site Whitewater is limited to 65 barrels. The demand constraints are ? inequalities because the entire demand (65+80+105) = 250 exceeds the total supply (26+42+53+29+38) = 223. The linear program model for the transportation job 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: OrderCustomPaper.com

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