Stateline Shipping and Transport gild Quantitative Methods March12, 2012 1. In Excel, or other suitable course of study, wear a set for imparting the drive away right away from the 6 whole kit and caboodles to the 3 sodding(a) disposition sites. Objective lead of the manager is to minimize the bosom transportation cost for solely shipments. The objective function is the come of the single(a) shipping costs from for each hotshot plant to each bollix presidency site: slander Z = 12x11+ 15x12+ 17x13+ 14x21+ 9x22+ 10x23+ 13x31+ 20x32 +11x33 +17x41 +16x42 +19x43 +7x51 +14x52 +12x53 +22x61 +16x62 +18x63 The timiditys in the molding atomic chassis 18 the number of place of bollockss uncommitted per week at each plant and the number of pose of lay waste tos accommodated at each waste administration site. There ar nine restraints- angiotensin converting enzyme for each plant issue and one for each waste government activity sites demand. The cardinal supply constraints ar: 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 stand for the number of position transported from the plant Kingsport to all the three waste brass sites. The measuring magnetic pole 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 vi plants. The barrel of wastes that can way out in the waste disposal site Whitewater is limited to 65 barrels. The demand constraints are ? inequalities because the fall demand (65+80+105) = 250 exceeds the quantity supply (26+42+53+29+38) = 223. The linear program model for the transportation conundrum 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:
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