How do yo maximize z = 4x + y subject to the constraints: 0< = x, < = 7, 0< = y, < =8, x+y > =2

Question

This is a nonstandar problem

Answer 1

sketch the region determined by the inequalities:

x>=0
x<= 7
y>=0
y<=8
x+y >=2

then determine the coordinates of all the corner points, and test them in the function z=4x +y.

(It isn't really nonstandard, but I can see how it could appear that way at first glance.)

Answer 2

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