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5< 3x
or
-6+2r< -15

2r<-15+6.

2r<-9

2r/2<-9/2.

r>-4.5

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints