## Question

###### A graduating senior has been accepted by three uni- versities for an M.S. in engineering. Two...

A graduating senior has been accepted by three uni- versities for an M.S. in engineering. Two criteria have been identified. The first is the program and university's academic ranking. The second is the cost. A third criteria of location was initially con- sidered, but then the student recognized that it is only for about a year, and applications were only made to acceptable schools. The student is currently enrolled in the first university, which is rated as a 5 for academic rank and a 7 for cost. The second is a larger out-of-state public university, which is rated as a 7 for academic rank and a 6 for cost. The third is a prestigious private school, which is rated as a 10 academically and a 3 for its higher cost. (a) What is the total score for each school if the academic rank has a weight of 40%? (b) If academic rank has a weight of 60%, what is the total score for each school?

## Answers

801": Assning the ratices is given out of '10" maximum rating of on acadenic rack & 10 maximom raticy for cost of university = 10 maximum weightage that can be sinen 100% for est university : x academic cи cs Rating for cost at If academic rauk has weight case 40%. this means weightcase of cost 60% rotal score of 1st university a 40%.85 +601.7 =$* 6-2 If acadenic rank has weightcase 60%. this means weightage of cost 40.0. Rotal score of 18t niversity = 0.685 +0.4x7 0 • i For and minessity Rating for academic work. 7 Rating for cost = 6 If acadenic rank has weightage = 40%. thiß meory weight ase of cost = 60% 1)- Total score of second niversity 5 0.4x7 + 0.6x6 of academic rank hey weight of 6or. this meals cost has weight case of 40% Total score of second oniversity - 0.6x7 to 4x6 for god university tos rank - 10 Raticy tor cost 23 a a cadenic rank has weightage of 40%. this mean cost has weightage of 60% Total score of third university 2 0 4X10 + 0.6x3 If the academic reuk has weighteege of 60%. this means cost has weighlege of hoy. - Total score of third oniversity 20.6x10 + 0.4x3

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