WO:15 marks) University of the Far West has purchasod equipment that permits fac

Question

WO:15 marks) University of the Far West has purchasod equipment that permits faculty to prepare videotapes of business, education, he equipment will be used by faculty from six schools on campus: engineering, humanities, law and science. The coordinates faculty that are anticipated to use the equipment are as follows: Sehool Business Education Engineerin Humanities Campus Location (8. 18) 6. 3) Number of Faculty 31 28 19 5, 13 n for (0,0) 32 41 Law (14, 20) Science(10,12) Find the optimal location to use it. of new facility to minimize the total travel time of all faculty planning

Explanation / Answer

As per center of gravity method

X coordinates = XiWi / Wi

X coordinate = (5*31 +8*28 +0*19 +6*53+ 14*32+10*41) /(31+28+19+53+32+41) =1555/204 =7.623

3500+1200+2400+500+5600

Y coordinates = YiWi / Wi

Y coordinate = (13*31 +18*28 +0*19 +3*53+ 20*32+12*41) /(31+28+19+53+32+41) =2198/204 =10.775

So correct answer = (X,Y) = (7.623, 10.775)

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